From d08b510b8fad3581a58f536bd7f59473b55dabbc Mon Sep 17 00:00:00 2001 From: smashra Date: Mon, 3 Jul 2017 15:13:50 -0400 Subject: [PATCH] Remove picnic (#134) * Remove picnic * Fix the compilation on macOS * Remove libm4ri-dev * make prettyprint inconsistency, travis typo, travis add OPENSSL_DIR * Missed one comment, should work everywhere now --- .travis-tests.sh | 2 +- .travis.yml | 15 +- Makefile.am | 19 +- configure.ac | 13 +- src/kex_sidh_cln16/AMD64/fp_x64.c | 42 +- src/kex_sidh_cln16/Makefile.am | 2 +- src/kex_sidh_cln16/SIDH_setup.c | 2 +- src/sig_picnic_msr/LowMC.c | 1515 ----------------------- src/sig_picnic_msr/LowMC.h | 81 -- src/sig_picnic_msr/LowMCConstants.h | 51 - src/sig_picnic_msr/LowMCEnc.c | 282 ----- src/sig_picnic_msr/LowMCEnc.h | 47 - src/sig_picnic_msr/Makefile.am | 8 - src/sig_picnic_msr/benchmark_lowmc.c | 322 ----- src/sig_picnic_msr/example.c | 152 --- src/sig_picnic_msr/matrices_256_10_38.h | 78 -- src/sig_picnic_msr/matrices_256_1_316.h | 634 ---------- src/sig_picnic_msr/matrices_256_42_14.h | 30 - src/sig_picnic_msr/picnic.c | 467 ------- src/sig_picnic_msr/picnic.h | 294 ----- src/sig_picnic_msr/platform.h | 25 - src/sig_picnic_msr/preprocessMatrices.c | 212 ---- src/sig_picnic_msr/test_util.c | 66 - src/sig_picnic_msr/test_util.h | 32 - 24 files changed, 39 insertions(+), 4352 deletions(-) delete mode 100644 src/sig_picnic_msr/LowMC.c delete mode 100644 src/sig_picnic_msr/LowMC.h delete mode 100644 src/sig_picnic_msr/LowMCConstants.h delete mode 100644 src/sig_picnic_msr/LowMCEnc.c delete mode 100644 src/sig_picnic_msr/LowMCEnc.h delete mode 100644 src/sig_picnic_msr/Makefile.am delete mode 100644 src/sig_picnic_msr/benchmark_lowmc.c delete mode 100644 src/sig_picnic_msr/example.c delete mode 100644 src/sig_picnic_msr/matrices_256_10_38.h delete mode 100644 src/sig_picnic_msr/matrices_256_1_316.h delete mode 100644 src/sig_picnic_msr/matrices_256_42_14.h delete mode 100644 src/sig_picnic_msr/picnic.c delete mode 100644 src/sig_picnic_msr/picnic.h delete mode 100644 src/sig_picnic_msr/platform.h delete mode 100644 src/sig_picnic_msr/preprocessMatrices.c delete mode 100644 src/sig_picnic_msr/test_util.c delete mode 100644 src/sig_picnic_msr/test_util.h diff --git a/.travis-tests.sh b/.travis-tests.sh index e3d618b09..3269f68ff 100755 --- a/.travis-tests.sh +++ b/.travis-tests.sh @@ -26,7 +26,7 @@ fi if [[ ${ENABLE_SIDH_IQC_REF} == 1 ]];then enable_disable_str+=" --enable-kex-sidh-iqc-ref" - if [[ ! -z "${GNP_DIR// }" ]];then + if [[ ! -z "${GMP_DIR// }" ]];then enable_disable_str+=" --with-gmp-dir=${GMP_DIR}" fi fi diff --git a/.travis.yml b/.travis.yml index 99b9b6716..03276dae4 100644 --- a/.travis.yml +++ b/.travis.yml @@ -14,7 +14,6 @@ matrix: packages: - gcc-4.8 - libgmp-dev - - libm4ri-dev before_install: - sh .travis/install-clang-format-linux.sh - os: linux @@ -26,7 +25,6 @@ matrix: - ubuntu-toolchain-r-test packages: - gcc-4.9 - - libm4ri-dev before_install: - sh .travis/install-clang-format-linux.sh - os: linux @@ -38,7 +36,6 @@ matrix: - ubuntu-toolchain-r-test packages: - gcc-5 - - libm4ri-dev before_install: - sh .travis/install-clang-format-linux.sh - os: linux @@ -51,14 +48,20 @@ matrix: packages: - gcc-6 - libssl-dev - - libm4ri-dev before_install: - sh .travis/install-clang-format-linux.sh - os: osx compiler: clang - env: CC_OQS=clang AES_NI=0 USE_OPENSSL=1 ENABLE_CODE_MCBITS=1 ENABLE_NTRU=1 ENABLE_SIDH_IQC_REF=1 + env: + - CC_OQS=clang + - AES_NI=0 + - USE_OPENSSL=1 + - OPENSSL_DIR=/usr/local/opt/openssl + - ENABLE_CODE_MCBITS=1 + - ENABLE_NTRU=1 + - ENABLE_SIDH_IQC_REF=1 before_install: - - brew install clang-format openssl libsodium libm4ri-dev + - brew install clang-format libsodium script: - CC=$CC_OQS ./.travis-tests.sh diff --git a/Makefile.am b/Makefile.am index f375ffba0..cbb1b60d3 100644 --- a/Makefile.am +++ b/Makefile.am @@ -20,7 +20,6 @@ liboqs_la_LIBADD += src/crypto/rand_urandom_chacha20/librandchacha20.la liboqs_la_LIBADD += src/kex_rlwe_bcns15/libbcns15.la src/kex_rlwe_newhope/libnewhope.la liboqs_la_LIBADD += src/kex_lwe_frodo/libfrodo.la src/kex_rlwe_msrln16/libmsrln16.la liboqs_la_LIBADD += src/kex_sidh_cln16/libcln16.la -liboqs_la_LIBADD += src/sig_picnic_msr/libpicnicmsr.la if USE_MCBITS liboqs_la_LIBADD += src/kex_code_mcbits/libmcbits.la @@ -34,7 +33,7 @@ if USE_SIDH_IQC liboqs_la_LIBADD += src/kex_sidh_iqc_ref/libsidhiqc.la endif -noinst_bin_PROGRAMS = test_rand test_kex test_aes pp_Matrices benchmark_lowmc +noinst_bin_PROGRAMS = test_rand test_kex test_aes noinst_bindir=$(prefix)/tests test_kex_LDADD = liboqs.la -lm test_kex_SOURCES = src/kex/test_kex.c @@ -73,24 +72,12 @@ test_rand_CPPFLAGS += -maes -msse2 endif endif -pp_Matrices_LDADD = liboqs.la -lm4ri -lcrypto -pp_Matrices_SOURCES = src/sig_picnic_msr/preprocessMatrices.c -pp_Matrices_CPPFLAGS = -Isrc/sig_picnic_msr/ -I/usr/include/m4ri/ -pp_Matrices_CPPFLAGS += $(AM_CPPFLAGS) - -benchmark_lowmc_LDADD = liboqs.la -lcrypto -lm4ri -benchmark_lowmc_SOURCES = src/sig_picnic_msr/benchmark_lowmc.c src/sig_picnic_msr/test_util.c -benchmark_lowmc_CPPFLAGS = -Isrc/sig_picnic_msr/ -benchmark_lowmc_CPPFLAGS += $(AM_CPPFLAGS) - test: clean-tests make ./test_kex ./test_rand ./test_aes - mkdir ./precomputed_data;./pp_Matrices - ./benchmark_lowmc ntru: @@ -123,14 +110,12 @@ endif clean-local: rm -f liboqs.a rm -rf include - rm -rf precomputed_data if USE_SIDH_IQC rm -f sample_params endif clean-tests: - rm -f test_kex test_rand test_aes pp_Matrices benchmark_lowmc - rm -rf precomputed_data + rm -f test_kex test_rand test_aes prettyprint: find src -name '*.c' -o -name '*.h' | xargs $(CLANGFORMAT) -style=file -i diff --git a/configure.ac b/configure.ac index 1ad7f9d85..0e8263679 100644 --- a/configure.ac +++ b/configure.ac @@ -77,11 +77,6 @@ ARG_ENABL_SET([kex-sidh-iqc-ref], [enable KEX-SIDH-IQC-REF.]) AM_CONDITIONAL([kex_sidh_iqc_ref], [test "x$kex_sidh_iqc_ref" = xtrue]) AM_CONDITIONAL([USE_SIDH_IQC], [test "x$kex_sidh_iqc_ref" = xtrue]) -ARG_ENABL_SET([avx-sig-picnic-msr], [enable AVX-SIG-PICNIC-MSR]) -AM_CONDITIONAL([avx_sig_picnic_msr], [test "x$avx_sig_picnic_msr" = xtrue]) -AM_CONDITIONAL([USE_AVX_PICNIC_MSR], [test "x$avx_sig_picnic_msr" = xtrue]) - - AM_CPPFLAGS="-g -std=gnu11 -Wno-unused-function -Werror -Wpedantic -Wall -Wextra -DCONSTANT_TIME" AC_CANONICAL_HOST # Check for which host we are on and setup a few things @@ -131,7 +126,6 @@ SRCDIR=${SRCDIR}" src/kex_rlwe_newhope" SRCDIR=${SRCDIR}" src/kex_lwe_frodo" SRCDIR=${SRCDIR}" src/kex_rlwe_msrln16" SRCDIR=${SRCDIR}" src/kex_sidh_cln16" -SRCDIR=${SRCDIR}" src/sig_picnic_msr" if test x"$kex_ntru" = x"true"; then AM_CPPFLAGS=${AM_CPPFLAGS}" -DENABLE_NTRU" @@ -156,10 +150,6 @@ if test x"$kex_sidh_iqc_ref" = x"true"; then SRCDIR=${SRCDIR}" src/kex_sidh_iqc_ref" fi -if test x"avx_sig_picnic_msr" = x"true"; then - AM_CPPFLAGS=${AM_CPPFLAGS}" -DWITH_AVX -mavx2" -fi - AC_SUBST(AM_CPPFLAGS) AC_SUBST(SRCDIR) @@ -186,7 +176,6 @@ AC_CONFIG_FILES([Makefile src/kex_code_mcbits/Makefile src/kex_ntru/Makefile src/kex_sidh_iqc_ref/Makefile - src/kex_lwe_frodo/Makefile - src/sig_picnic_msr/Makefile]) + src/kex_lwe_frodo/Makefile]) AC_OUTPUT diff --git a/src/kex_sidh_cln16/AMD64/fp_x64.c b/src/kex_sidh_cln16/AMD64/fp_x64.c index f7e3b25f8..60dede439 100644 --- a/src/kex_sidh_cln16/AMD64/fp_x64.c +++ b/src/kex_sidh_cln16/AMD64/fp_x64.c @@ -16,9 +16,10 @@ extern const uint64_t p751[NWORDS_FIELD]; extern const uint64_t p751p1[NWORDS_FIELD]; extern const uint64_t p751x2[NWORDS_FIELD]; -__inline void oqs_sidh_cln16_fpadd751(const digit_t *a, const digit_t *b, digit_t *c) { // Modular addition, c = a+b mod p751. - // Inputs: a, b in [0, 2*p751-1] - // Output: c in [0, 2*p751-1] +// Modular addition, c = a+b mod p751. +// Inputs: a, b in [0, 2*p751-1] +// Output: c in [0, 2*p751-1] +__inline void oqs_sidh_cln16_fpadd751(const digit_t *a, const digit_t *b, digit_t *c) { #if (OS_TARGET == OS_WIN) unsigned int i, carry = 0; @@ -46,9 +47,10 @@ __inline void oqs_sidh_cln16_fpadd751(const digit_t *a, const digit_t *b, digit_ #endif } -__inline void oqs_sidh_cln16_fpsub751(const digit_t *a, const digit_t *b, digit_t *c) { // Modular subtraction, c = a-b mod p751. - // Inputs: a, b in [0, 2*p751-1] - // Output: c in [0, 2*p751-1] +// Modular subtraction, c = a-b mod p751. +// Inputs: a, b in [0, 2*p751-1] +// Output: c in [0, 2*p751-1] +__inline void oqs_sidh_cln16_fpsub751(const digit_t *a, const digit_t *b, digit_t *c) { #if (OS_TARGET == OS_WIN) unsigned int i, borrow = 0; @@ -71,8 +73,9 @@ __inline void oqs_sidh_cln16_fpsub751(const digit_t *a, const digit_t *b, digit_ #endif } -__inline void oqs_sidh_cln16_fpneg751(digit_t *a) { // Modular negation, a = -a mod p751. - // Input/output: a in [0, 2*p751-1] +// Modular negation, a = -a mod p751. +// Input/output: a in [0, 2*p751-1] +__inline void oqs_sidh_cln16_fpneg751(digit_t *a) { unsigned int i, borrow = 0; for (i = 0; i < NWORDS_FIELD; i++) { @@ -80,9 +83,10 @@ __inline void oqs_sidh_cln16_fpneg751(digit_t *a) { // Modular negation, a = -a } } -void oqs_sidh_cln16_fpdiv2_751(const digit_t *a, digit_t *c) { // Modular division by two, c = a/2 mod p751. - // Input : a in [0, 2*p751-1] - // Output: c in [0, 2*p751-1] +// Modular division by two, c = a/2 mod p751. +// Input : a in [0, 2*p751-1] +// Output: c in [0, 2*p751-1] +void oqs_sidh_cln16_fpdiv2_751(const digit_t *a, digit_t *c) { unsigned int i, carry = 0; digit_t mask; @@ -94,7 +98,8 @@ void oqs_sidh_cln16_fpdiv2_751(const digit_t *a, digit_t *c) { // Modular divisi oqs_sidh_cln16_mp_shiftr1(c, NWORDS_FIELD); } -void oqs_sidh_cln16_fpcorrection751(digit_t *a) { // Modular correction to reduce field element a in [0, 2*p751-1] to [0, p751-1]. +// Modular correction to reduce field element a in [0, 2*p751-1] to [0, p751-1]. +void oqs_sidh_cln16_fpcorrection751(digit_t *a) { unsigned int i, borrow = 0; digit_t mask; @@ -109,7 +114,8 @@ void oqs_sidh_cln16_fpcorrection751(digit_t *a) { // Modular correction to reduc } } -void oqs_sidh_cln16_mp_mul(const digit_t *a, const digit_t *b, digit_t *c, const unsigned int nwords) { // Multiprecision multiply, c = a*b, where lng(a) = lng(b) = nwords. +// Multiprecision multiply, c = a*b, where lng(a) = lng(b) = nwords. +void oqs_sidh_cln16_mp_mul(const digit_t *a, const digit_t *b, digit_t *c, const unsigned int nwords) { UNREFERENCED_PARAMETER(nwords); @@ -524,11 +530,11 @@ void oqs_sidh_cln16_mp_mul(const digit_t *a, const digit_t *b, digit_t *c, const #endif } -void oqs_sidh_cln16_rdc_mont(const oqs_sidh_cln16_dfelm_t ma, oqs_sidh_cln16_felm_t mc) { // Efficient Montgomery reduction using comba and exploiting the special form of the prime p751. - // mc = ma*R^-1 mod p751x2, where R = 2^768. - // If ma < 2^768*p751, the output mc is in the range [0, 2*p751-1]. - // ma is assumed to be in Montgomery representation. - +// Efficient Montgomery reduction using comba and exploiting the special form of the prime p751. +// mc = ma*R^-1 mod p751x2, where R = 2^768. +// If ma < 2^768*p751, the output mc is in the range [0, 2*p751-1]. +// ma is assumed to be in Montgomery representation. +void oqs_sidh_cln16_rdc_mont(const oqs_sidh_cln16_dfelm_t ma, oqs_sidh_cln16_felm_t mc) { #if (OS_TARGET == OS_WIN) unsigned int carry; digit_t t = 0; diff --git a/src/kex_sidh_cln16/Makefile.am b/src/kex_sidh_cln16/Makefile.am index 92c8cf58a..1d44ec218 100644 --- a/src/kex_sidh_cln16/Makefile.am +++ b/src/kex_sidh_cln16/Makefile.am @@ -2,7 +2,7 @@ AUTOMAKE_OPTIONS = foreign noinst_LTLIBRARIES = libcln16.la -libcln16_la_SOURCES = ec_isogeny.c fpx.c kex_sidh_cln16.c SIDH.c sidh_kex.c SIDH_setup.c AMD64/fp_x64.c AMD64/fp_x64_asm.S +libcln16_la_SOURCES = ec_isogeny.c fpx.c kex_sidh_cln16.c SIDH.c sidh_kex.c SIDH_setup.c AMD64/fp_x64.c AMD64/fp_x64_asm.S generic/fp_generic.c libcln16_la_CPPFLAGS = -I../../include -I.-fPIC -w libcln16_la_CPPFLAGS += $(AM_CPPFLAGS) diff --git a/src/kex_sidh_cln16/SIDH_setup.c b/src/kex_sidh_cln16/SIDH_setup.c index 49140d2a4..4cf07a17f 100644 --- a/src/kex_sidh_cln16/SIDH_setup.c +++ b/src/kex_sidh_cln16/SIDH_setup.c @@ -10,7 +10,7 @@ *********************************************************************************************/ #include "SIDH_internal.h" -#include +// #include SIDH_CRYPTO_STATUS oqs_sidh_cln16_curve_initialize(PCurveIsogenyStruct pCurveIsogeny, PCurveIsogenyStaticData pCurveIsogenyData) { // Initialize curve isogeny structure pCurveIsogeny with static data extracted from pCurveIsogenyData. // This needs to be called after allocating memory for "pCurveIsogeny" using SIDH_curve_allocate(). diff --git a/src/sig_picnic_msr/LowMC.c b/src/sig_picnic_msr/LowMC.c deleted file mode 100644 index 45edfb46d..000000000 --- a/src/sig_picnic_msr/LowMC.c +++ /dev/null @@ -1,1515 +0,0 @@ -/*! @file LowMC.c - * @brief This is the main file of the signature scheme. All of the LowMC MPC - * code is here as well as lower-level versions of sign and verify that are - * called by the signature API. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ - -#include -#include -#include -#include -#include -#ifdef WITH_AVX -#include -#endif - -#include -#include -#include -#include -#include -#include - -#include "LowMC.h" -#include "picnic.h" -#include "platform.h" - -#define t 8 - -/* prefixes for domain separation of multiple uses of SHA256 */ -#define H_FOR_COMMITMENT_PREFIX 0 -#define H_FOR_CHALLENGE_PREFIX 1 -#define G_PREFIX 2 - -#define UNUSED_PARAMETER(x) (void) (x) - -/* Type definitions */ -typedef struct randomTape_t { - uint8_t *tape[3]; - uint32_t pos; -} randomTape_t; - -typedef struct view_t { - uint32_t *inputShare; - uint8_t *communicatedBits; - uint32_t *outputShare; -} view_t; - -typedef struct commitments_t { - uint8_t hashes[3][SHA256_DIGEST_LENGTH]; -} commitments_t; - -typedef struct unruh_permutations_t { - uint8_t *G[3]; -} unruh_permutations_t; - -/* Allocate/free functions for dynamically sized types */ -void allocateView(view_t *view, lowmcparams_t *params) { - view->inputShare = malloc(params->stateSizeBytes); - view->communicatedBits = malloc(params->numAndBytes); - view->outputShare = malloc(params->stateSizeBytes); -} - -void freeView(view_t *view) { - free(view->inputShare); - free(view->communicatedBits); - free(view->outputShare); -} - -void allocateRandomTape(randomTape_t *tape, lowmcparams_t *params) { - for (uint8_t i = 0; i < 3; i++) { - tape->tape[i] = malloc(numBytes(params->numSboxes * 3 * params->numRounds * NUM_ZKB_ROUNDS - 1)); - } -} - -void freeRandomTape(randomTape_t *tape) { - for (uint8_t i = 0; i < 3; i++) { - free(tape->tape[i]); - } -} - -void allocateProof(proof_t *proof, lowmcparams_t *params) { - proof->inputShare = malloc(params->stateSizeBytes); - proof->communicatedBits = malloc(params->numAndBytes); - if (params->UnruhGWithInputBytes > 0) { - proof->view3UnruhG = malloc(params->UnruhGWithInputBytes); - } else { - proof->view3UnruhG = NULL; - } -} - -void freeProof(proof_t *proof) { - free(proof->inputShare); - free(proof->communicatedBits); - free(proof->view3UnruhG); -} - -void allocateSignature(signature_t *sig, lowmcparams_t *params) { - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - allocateProof(&(sig->proofs[i]), params); - } -} - -void freeSignature(signature_t *sig) { - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - freeProof(&(sig->proofs[i])); - } -} - -void allocateUnruhPermutations(unruh_permutations_t *permutations, lowmcparams_t *params) { - for (uint8_t i = 0; i < 3; i++) { - permutations->G[i] = malloc(params->UnruhGWithInputBytes); // we initialize to the max length for all 3, even though G[0] and G[1] will be smaller - } -} - -void freeUnruhPermutations(unruh_permutations_t *permutations) { - for (uint8_t i = 0; i < 3; i++) { - free(permutations->G[i]); - } -} - -/* Global data */ -#ifdef WITH_AVX -__m256i (*linearMatricesLookupTableVec)[STATE_SIZE_BITS / t][1 << t][1]; -__m256i (*keyMatricesLookupTableVec)[STATE_SIZE_BITS / t][1 << t][1]; -__m256i (*roundConstantsVec)[1]; -#else -uint32_t (*linearMatricesLookupTable)[STATE_SIZE_BITS / t][1 << t][STATE_SIZE_WORDS]; -uint32_t (*keyMatricesLookupTable)[STATE_SIZE_BITS / t][1 << t][STATE_SIZE_WORDS]; -uint32_t (*roundConstants)[STATE_SIZE_WORDS]; -#endif - -/* Helper functions */ - -/* Get one bit from a 32-bit int array */ -uint8_t getBitFromWordArray(const uint32_t *array, uint32_t bitNumber) { - return (array[bitNumber / WORD_SIZE_BITS] >> (WORD_SIZE_BITS - 1 - (bitNumber % WORD_SIZE_BITS))) & 0x01; -} - -/* Set a specific bit in a byte array to a given value */ -void setBitInWordArray(uint32_t *bytes, uint32_t bitNumber, uint8_t val) { - bytes[bitNumber / WORD_SIZE_BITS] = (bytes[bitNumber / WORD_SIZE_BITS] & ~(1 << (WORD_SIZE_BITS - 1 - (bitNumber % WORD_SIZE_BITS)))) | (val << (WORD_SIZE_BITS - 1 - (bitNumber % WORD_SIZE_BITS))); -} - -/* Get one bit from a byte array */ -uint8_t getBit(const uint8_t *array, uint32_t bitNumber) { - return (array[bitNumber >> 3] >> (7 - (bitNumber % 8))) & 0x01; -} - -/* Set a specific bit in a byte array to a given value */ -void setBit(uint8_t *bytes, uint32_t bitNumber, uint8_t val) { - bytes[bitNumber >> 3] = (bytes[bitNumber >> 3] & ~(1 << (7 - (bitNumber % 8)))) | (val << (7 - (bitNumber % 8))); -} - -uint32_t getRandom32(uint8_t *randomness, uint32_t randCount) { - uint32_t ret; - - memcpy(&ret, &randomness[randCount], 4); - return ret; -} - -uint32_t numBytes(uint32_t numBits) { - return (numBits == 0) ? 0 : ((numBits - 1) / 8 + 1); -} - -bool getAllRandomness(const uint8_t seed[PRG_SEED_LENGTH], uint8_t *tape, - uint32_t tapeLengthBytes, const unsigned char iv[16]) { - /* Zero the tape, then encrypt it with AES256-CTR. The seed is the key. */ - EVP_CIPHER_CTX *ctx; - //EVP_CIPHER_CTX ctx; - - //EVP_CIPHER_CTX_init(&ctx); - if (!(ctx = EVP_CIPHER_CTX_new())) - return false; - //if (1 != EVP_EncryptInit_ex(&ctx, EVP_aes_256_ctr(), NULL, seed, iv)) { - if (1 != EVP_EncryptInit_ex(ctx, EVP_aes_256_ctr(), NULL, seed, iv)) { - fprintf(stderr, "%s: Error setting up AES", __func__); - ERR_print_errors_fp(stderr); - EVP_CIPHER_CTX_cleanup(ctx); - return false; - } - - memset(tape, 0, tapeLengthBytes); - int len; - if (1 != EVP_EncryptUpdate(ctx, tape, &len, tape, tapeLengthBytes)) { - ERR_print_errors_fp(stderr); - EVP_CIPHER_CTX_cleanup(ctx); - return false; - } - - //EVP_CIPHER_CTX_cleanup(&ctx); - EVP_CIPHER_CTX_free(ctx); - return true; -} - -void init_EVP() { - /* Initialize the library */ - ERR_load_crypto_strings(); - OpenSSL_add_all_algorithms(); -} - -void cleanup_EVP() { - /* Clean up sequence recommended here: https://wiki.openssl.org/index.php/Library_Initialization */ - ENGINE_cleanup(); - CONF_modules_unload(1); - EVP_cleanup(); - CRYPTO_cleanup_all_ex_data(); - //ERR_remove_thread_state(NULL); - ERR_free_strings(); -} - -void mpc_xor(uint32_t *state[3], uint32_t *in2[3], - uint32_t count) { - uint64_t **state_64 = (uint64_t **) state; - uint64_t **in2_64 = (uint64_t **) in2; - - count /= 2; - for (uint8_t i = 0; i < 3; i++) { - for (uint32_t j = 0; j < count; j++) { - state_64[i][j] = state_64[i][j] ^ in2_64[i][j]; - } - } -} - -void mpc_xor4_3(uint32_t *temp[3], uint32_t *in[4][3], lowmcparams_t *params) { - uint64_t **in1_64 = (uint64_t **) in[0]; - uint64_t **in2_64 = (uint64_t **) in[1]; - uint64_t **in3_64 = (uint64_t **) in[2]; - uint64_t **in4_64 = (uint64_t **) in[3]; - uint64_t **temp_64 = (uint64_t **) temp; - - for (uint8_t i = 0; i < 3; i++) { - for (uint32_t j = 0; j < params->stateSizeWords / 2; j++) { - temp_64[i][j] = in1_64[i][j] ^ in2_64[i][j] ^ in3_64[i][j] ^ in4_64[i][j] ^ temp_64[i][j]; - } - } -} - -void mpc_xor4_2(uint32_t *temp[2], uint32_t *in[4][2], lowmcparams_t *params) { - uint64_t **in1_64 = (uint64_t **) in[0]; - uint64_t **in2_64 = (uint64_t **) in[1]; - uint64_t **in3_64 = (uint64_t **) in[2]; - uint64_t **in4_64 = (uint64_t **) in[3]; - uint64_t **temp_64 = (uint64_t **) temp; - - for (uint8_t i = 0; i < 2; i++) { - for (uint32_t j = 0; j < params->stateSizeWords / 2; j++) { - temp_64[i][j] = in1_64[i][j] ^ in2_64[i][j] ^ in3_64[i][j] ^ in4_64[i][j] ^ temp_64[i][j]; - } - } -} - -void mpc_xor2(uint32_t *state[2], uint32_t *in2[2], uint32_t count) { - - uint64_t **state_64 = (uint64_t **) state; - uint64_t **in2_64 = (uint64_t **) in2; - - count /= 2; - for (uint8_t i = 0; i < 2; i++) { - for (uint32_t j = 0; j < count; j++) { - state_64[i][j] = state_64[i][j] ^ in2_64[i][j]; - } - } -} - -#ifdef WITH_AVX -void mpc_xor_vec3(__m256i state[3], __m256i val[3], __m256i output[3]) { - for (uint8_t i = 0; i < 3; i++) { - output[i] = _mm256_xor_si256(state[i], val[i]); - } -} - -void mpc_xor_vec2(__m256i state[2], __m256i val[2], __m256i output[2]) { - for (uint8_t i = 0; i < 2; i++) { - output[i] = _mm256_xor_si256(state[i], val[i]); - } -} - -/* Having specialized versions of these xor functions gives better performance */ -void mpc_xor4_vec3(__m256i temp_vec[3], __m256i *bits_vec[4][3]) { - for (uint8_t i = 0; i < 3; i++) { - for (uint8_t j = 0; j < 4; j++) { - temp_vec[i] = _mm256_xor_si256(temp_vec[i], *bits_vec[j][i]); - } - } -} - -void mpc_xor4_vec2(__m256i temp_vec[2], __m256i *bits_vec[4][2]) { - for (uint8_t i = 0; i < 2; i++) { - for (uint8_t j = 0; j < 4; j++) { - temp_vec[i] = _mm256_xor_si256(temp_vec[i], *bits_vec[j][i]); - } - } -} -#endif - -void Commit(const uint8_t seed[PRG_SEED_LENGTH], const view_t view, - uint8_t hash[SHA256_DIGEST_LENGTH], lowmcparams_t *params) { - SHA256_CTX ctx; - uint8_t prefix = H_FOR_COMMITMENT_PREFIX; - - SHA256_Init(&ctx); - SHA256_Update(&ctx, &prefix, sizeof(uint8_t)); - SHA256_Update(&ctx, seed, PRG_SEED_LENGTH); - SHA256_Update(&ctx, view.inputShare, params->stateSizeBytes); - SHA256_Update(&ctx, view.communicatedBits, params->numAndBytes); - SHA256_Update(&ctx, view.outputShare, params->stateSizeBytes); - SHA256_Final(hash, &ctx); -} - -void generateAesIv(const uint32_t *pubKey, const uint32_t *pubInput, uint8_t iv[16], lowmcparams_t *params) { - SHA256_CTX ctx; - uint8_t hash[SHA256_DIGEST_LENGTH]; - - SHA256_Init(&ctx); - SHA256_Update(&ctx, (const uint8_t *) pubKey, params->stateSizeBytes); - SHA256_Update(&ctx, (const uint8_t *) pubInput, params->stateSizeBytes); - SHA256_Final(hash, &ctx); - - memcpy(iv, hash, 16); -} - -#if (UNRUH_G_WITH_INPUT_LENGTH / SHA256_DIGEST_LENGTH) > 256 -#error Permutation function G will truncate when casting i from size_t to uint8_t -#endif - -/* This is the random oracle "permuatation" function G for Unruh's transform */ -void G(uint8_t viewNumber, const uint8_t *seed, view_t *view, uint8_t *output, lowmcparams_t *params) { - uint8_t compressed[SHA256_DIGEST_LENGTH]; - SHA256_CTX ctx; - uint8_t prefix = G_PREFIX; - - SHA256_Init(&ctx); - SHA256_Update(&ctx, &prefix, sizeof(uint8_t)); - SHA256_Update(&ctx, seed, PRG_SEED_LENGTH); - if (viewNumber == 2) { - SHA256_Update(&ctx, view->inputShare, params->stateSizeBytes); - } - SHA256_Update(&ctx, view->communicatedBits, params->numAndBytes); - SHA256_Final(compressed, &ctx); - - size_t viewUnruhLength = (viewNumber == 2) ? params->UnruhGWithInputBytes : params->UnruhGWithoutInputBytes; - size_t numSha256Words = viewUnruhLength / SHA256_DIGEST_LENGTH; - for (size_t i = 0; i < numSha256Words; i++) { - SHA256_Init(&ctx); - SHA256_Update(&ctx, compressed, SHA256_DIGEST_LENGTH); - SHA256_Update(&ctx, (uint8_t *) &i, sizeof(uint8_t)); - SHA256_Final(&output[i * SHA256_DIGEST_LENGTH], &ctx); - } - if (viewUnruhLength % SHA256_DIGEST_LENGTH != 0) { - SHA256_Init(&ctx); - SHA256_Update(&ctx, compressed, SHA256_DIGEST_LENGTH); - SHA256_Update(&ctx, (uint8_t *) &numSha256Words, sizeof(uint8_t)); - SHA256_Final(compressed, &ctx); // reusing compressed as a buffer since we no longer need the compressed value - // copy remaining bytes from buffer into output - memcpy(&output[numSha256Words * SHA256_DIGEST_LENGTH], compressed, viewUnruhLength % SHA256_DIGEST_LENGTH); - } -} - -void setChallenge(uint8_t *challenge, size_t round, uint8_t trit) { - /* challenge must have length numBytes(NUM_ZKB_ROUNDS*2) - * 0 <= index < NUM_ZKB_ROUNDS - * trit must be in {0,1,2} */ - uint32_t roundU = (uint32_t) round; - - setBit(challenge, 2 * roundU, trit & 1); - setBit(challenge, 2 * roundU + 1, (trit >> 1) & 1); -} - -uint8_t getChallenge(const uint8_t *challenge, size_t round) { - uint32_t roundU = (uint32_t) round; - - return (getBit(challenge, 2 * roundU + 1) << 1) | getBit(challenge, 2 * roundU); -} - -void print_hex(const char *s, uint8_t *data, size_t len) { - printf("%s: ", s); - for (size_t i = 0; i < len; i++) { - printf("%02X", data[i]); - } - printf("\n"); -} - -void H3(const uint32_t *circuitOutput, uint32_t *viewOutputs[NUM_ZKB_ROUNDS][3], - commitments_t *as, uint32_t numRounds, - uint8_t *challengeBits, const uint8_t *message, size_t messageByteLength, - transform_t transform, unruh_permutations_t gs[NUM_ZKB_ROUNDS], lowmcparams_t *params) { - uint8_t hash[SHA256_DIGEST_LENGTH]; - SHA256_CTX ctx; - uint8_t prefix = H_FOR_CHALLENGE_PREFIX; - - /* Depending on the number of rounds, we might not set part of the last - * byte, make sure it's always zero. */ - challengeBits[numBytes(numRounds * 2) - 1] = 0; - - /* Hash input data */ - SHA256_Init(&ctx); - SHA256_Update(&ctx, &prefix, sizeof(uint8_t)); - SHA256_Update(&ctx, circuitOutput, params->stateSizeBytes); - SHA256_Update(&ctx, message, messageByteLength); - for (uint32_t i = 0; i < numRounds; i++) { - for (int j = 0; j < 3; j++) { - SHA256_Update(&ctx, as[i].hashes[j], SHA256_DIGEST_LENGTH); - SHA256_Update(&ctx, viewOutputs[i][j], params->stateSizeBytes); - if (transform == TRANSFORM_UR) { - // gs will be non-NULL for the Unruh transform - size_t view3UnruhLength = (j == 2) ? params->UnruhGWithInputBytes : params->UnruhGWithoutInputBytes; - SHA256_Update(&ctx, gs[i].G[j], view3UnruhLength); - } - } - } - SHA256_Final(hash, &ctx); - - /* Convert hash to a packed string of values in {0,1,2} */ - size_t round = 0; - while (1) { - for (size_t i = 0; i < sizeof(hash); i++) { - uint8_t byte = hash[i]; - /* iterate over each pair of bits in the byte */ - for (int j = 0; j < 8; j += 2) { - uint8_t bitPair = ((byte >> (6 - j)) & 0x03); - if (bitPair < 3) { - setChallenge(challengeBits, round, bitPair); - round++; - if (round == numRounds) { - goto done; - } - } - } - } - - /* We need more bits; hash set hash = H(hash) */ - SHA256_Init(&ctx); - SHA256_Update(&ctx, &prefix, sizeof(uint8_t)); - SHA256_Update(&ctx, hash, sizeof(hash)); - SHA256_Final(hash, &ctx); - } - -done: - - return; -} - -/* Caller must allocate the first parameter */ -void prove(proof_t *proof, uint8_t challenge, uint8_t seeds[3][PRG_SEED_LENGTH], - view_t views[3], commitments_t *commitments, unruh_permutations_t *gs, lowmcparams_t *params) { - memcpy(proof->seed1, seeds[challenge], PRG_SEED_LENGTH); - memcpy(proof->seed2, seeds[(challenge + 1) % 3], PRG_SEED_LENGTH); - if (challenge == 1 || challenge == 2) { - memcpy(proof->inputShare, views[2].inputShare, params->stateSizeBytes); - } - memcpy(proof->communicatedBits, views[(challenge + 1) % 3].communicatedBits, - params->numAndBytes); - - memcpy(proof->view3Commitment, commitments->hashes[(challenge + 2) % 3], - SHA256_DIGEST_LENGTH); - if (gs != NULL) { - size_t view3UnruhLength = (challenge == 0) ? params->UnruhGWithInputBytes : params->UnruhGWithoutInputBytes; - memcpy(proof->view3UnruhG, gs->G[(challenge + 2) % 3], view3UnruhLength); - } -} - -int serializeSignature(const signature_t *sig, uint8_t *sigBytes, size_t sigBytesLen, transform_t transform, lowmcparams_t *params) { - const proof_t *proofs = sig->proofs; - const uint8_t *challengeBits = sig->challengeBits; - - /* Validate input buffer is large enough */ - size_t bytesRequired = numBytes(2 * NUM_ZKB_ROUNDS) + - NUM_ZKB_ROUNDS * (2 * PRG_SEED_LENGTH + params->stateSizeBytes + params->numAndBytes + SHA256_DIGEST_LENGTH); - - if (transform == TRANSFORM_UR) { - bytesRequired += params->UnruhGWithoutInputBytes * NUM_ZKB_ROUNDS; - } - - if (sigBytesLen < bytesRequired) { - return -1; - } - - uint8_t *sigBytesBase = sigBytes; - - memcpy(sigBytes, challengeBits, numBytes(2 * NUM_ZKB_ROUNDS)); - sigBytes += numBytes(2 * NUM_ZKB_ROUNDS); - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - memcpy(sigBytes, proofs[i].seed1, PRG_SEED_LENGTH); - sigBytes += PRG_SEED_LENGTH; - - memcpy(sigBytes, proofs[i].seed2, PRG_SEED_LENGTH); - sigBytes += PRG_SEED_LENGTH; - - uint8_t challenge = getChallenge(challengeBits, i); - if (challenge == 1 || challenge == 2) { - memcpy(sigBytes, proofs[i].inputShare, params->stateSizeBytes); - sigBytes += params->stateSizeBytes; - } - - memcpy(sigBytes, proofs[i].communicatedBits, params->numAndBytes); - sigBytes += params->numAndBytes; - - memcpy(sigBytes, proofs[i].view3Commitment, SHA256_DIGEST_LENGTH); - sigBytes += SHA256_DIGEST_LENGTH; - - if (transform == TRANSFORM_UR) { - size_t view3UnruhLength = (challenge == 0) ? params->UnruhGWithInputBytes : params->UnruhGWithoutInputBytes; - memcpy(sigBytes, proofs[i].view3UnruhG, view3UnruhLength); - sigBytes += view3UnruhLength; - } - } - - return (int) (sigBytes - sigBytesBase); -} - -static size_t computeInputShareSize(const uint8_t *challengeBits, size_t stateSizeBytes) { - /* When the FS transform is used, the input share is included in the proof - * only when the challenge is 1 or 2. When dersializing, to compute the - * number of bytes expected, we must check how many challenge values are 1 - * or 2. The parameter stateSizeBytes is the size of an input share. */ - size_t inputShareSize = 0; - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - uint8_t challenge = getChallenge(challengeBits, i); - if (challenge == 1 || challenge == 2) { - inputShareSize += stateSizeBytes; - } - } - return inputShareSize; -} - -int deserializeSignature(signature_t *sig, const uint8_t *sigBytes, - size_t sigBytesLen, transform_t transform, lowmcparams_t *params) { - proof_t *proofs = sig->proofs; - uint8_t *challengeBits = sig->challengeBits; - - /* Validate input buffer is large enough */ - if (sigBytesLen < numBytes(2 * NUM_ZKB_ROUNDS)) { /* ensure the input has at least the challenge */ - return EXIT_FAILURE; - } - size_t inputShareSize = computeInputShareSize(sigBytes, params->stateSizeBytes); - size_t bytesExpected = numBytes(2 * NUM_ZKB_ROUNDS) + - NUM_ZKB_ROUNDS * (2 * PRG_SEED_LENGTH + params->numAndBytes + SHA256_DIGEST_LENGTH) + inputShareSize; - if (transform == TRANSFORM_UR) { - bytesExpected += params->UnruhGWithoutInputBytes * NUM_ZKB_ROUNDS; - } - if (sigBytesLen < bytesExpected) { - return EXIT_FAILURE; - } - - memcpy(challengeBits, sigBytes, numBytes(2 * NUM_ZKB_ROUNDS)); - sigBytes += numBytes(2 * NUM_ZKB_ROUNDS); - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - memcpy(proofs[i].seed1, sigBytes, PRG_SEED_LENGTH); - sigBytes += PRG_SEED_LENGTH; - - memcpy(proofs[i].seed2, sigBytes, PRG_SEED_LENGTH); - sigBytes += PRG_SEED_LENGTH; - - uint8_t challenge = getChallenge(challengeBits, i); - if (challenge == 1 || challenge == 2) { - memcpy(proofs[i].inputShare, sigBytes, params->stateSizeBytes); - sigBytes += params->stateSizeBytes; - } - - memcpy(proofs[i].communicatedBits, sigBytes, params->numAndBytes); - sigBytes += params->numAndBytes; - - memcpy(proofs[i].view3Commitment, sigBytes, SHA256_DIGEST_LENGTH); - sigBytes += SHA256_DIGEST_LENGTH; - - if (transform == TRANSFORM_UR) { - size_t view3UnruhLength = (challenge == 0) ? params->UnruhGWithInputBytes : params->UnruhGWithoutInputBytes; - memcpy(proofs[i].view3UnruhG, sigBytes, view3UnruhLength); - sigBytes += view3UnruhLength; - } - } - - return EXIT_SUCCESS; -} - -void mpc_AND_verify(uint8_t in1[2], uint8_t in2[2], uint8_t out[2], - randomTape_t *rand, view_t *view1, view_t *view2, uint32_t *yCount) { - uint8_t r[2] = {getBit(rand->tape[0], rand->pos), getBit(rand->tape[1], rand->pos)}; - - (rand->pos)++; - out[0] = (in1[0] & in2[1]) ^ (in1[1] & in2[0]) ^ (in1[0] & in2[0]) ^ r[0] ^ r[1]; - setBit(view1->communicatedBits, *yCount, out[0]); - out[1] = getBit(view2->communicatedBits, *yCount); - (*yCount)++; -} - -#ifdef WITH_AVX -void mpc_multiplyWithMatrix2(__m256i stateVec[3], - uint32_t round, __m256i outputVec[3], - __m256i temp_vec[3], lowmcparams_t *params) { - uint32_t *state[2]; - uint32_t i; - - for (i = 0; i < 2; i++) { - state[i] = ((uint32_t *) &stateVec[i]); - } - - __m256i *bits_vec[4][2]; - - for (i = 0; i < params->stateSizeWords; i++) { - for (size_t j = 0; j < 4; j++) { - for (size_t k = 0; k < 2; k++) { - bits_vec[j][k] = linearMatricesLookupTableVec[round][i * (sizeof(uint32_t)) + j][(state[k][i] >> (24 - (8 * j))) & 0xFF]; - } - } - mpc_xor4_vec2(temp_vec, bits_vec); - } - - for (i = 0; i < 2; i++) { - memcpy(&outputVec[i], &temp_vec[i], params->stateSizeBytes); - } -} - -void mpc_multiplyWithKeyMatrix2(uint32_t *key[2], uint32_t round, __m256i output[2], lowmcparams_t *params) { - uint32_t i; - __m256i *bits_vec[4][2]; - - for (i = 0; i < params->stateSizeWords; i++) { - for (size_t j = 0; j < 4; j++) { - for (size_t k = 0; k < 2; k++) { - bits_vec[j][k] = keyMatricesLookupTableVec[round][i * (sizeof(uint32_t)) + j][(key[k][i] >> (24 - (8 * j))) & 0xFF]; - } - } - mpc_xor4_vec2(output, bits_vec); - } -} -#else - -void mpc_multiplyWithMatrix2(uint32_t *state[2], uint32_t round, - uint32_t *output[2], uint32_t *tmp, lowmcparams_t *params) { - uint32_t i; - uint32_t *temp[2]; - - memset(tmp, 0, params->stateSizeBytes * 2); - - temp[0] = tmp; - temp[1] = tmp + params->stateSizeWords; - - uint32_t *bits[4][2]; - - for (i = 0; i < params->stateSizeWords; i++) { - for (size_t j = 0; j < 4; j++) { - for (size_t k = 0; k < 2; k++) { - bits[j][k] = linearMatricesLookupTable[round][i * (sizeof(uint32_t)) + j][(state[k][i] >> (24 - (8 * j))) & 0xFF]; - } - } - mpc_xor4_2(temp, bits, params); - } - - for (i = 0; i < 2; i++) { - memcpy(output[i], temp[i], params->stateSizeBytes); - } -} - -void mpc_multiplyWithKeyMatrix2(uint32_t *key[2], uint32_t round, - uint32_t *output[2], lowmcparams_t *params) { - uint32_t i; - uint32_t *bits[4][2]; - - for (i = 0; i < params->stateSizeWords; i++) { - for (size_t j = 0; j < 4; j++) { - for (size_t k = 0; k < 2; k++) { - bits[j][k] = keyMatricesLookupTable[round][i * (sizeof(uint32_t)) + j][(key[k][i] >> (24 - (8 * j))) & 0xFF]; - } - } - mpc_xor4_2(output, bits, params); - } -} - -#endif - -#ifdef WITH_AVX -void computeRoundKey2(uint32_t *key[2], __m256i output[2], uint32_t round, lowmcparams_t *params) { - mpc_multiplyWithKeyMatrix2(key, round, output, params); -} - -void mpc_substitution2(__m256i stateVec[2], randomTape_t *rand, view_t *view1, - view_t *view2, uint32_t *yCount, lowmcparams_t *params) { - uint8_t a[2]; - uint8_t b[2]; - uint8_t c[2]; - - uint8_t ab[2]; - uint8_t bc[2]; - uint8_t ca[2]; - uint32_t *state[2]; - - for (int i = 0; i < 2; i++) { - state[i] = ((uint32_t *) &stateVec[i]); - } - - for (uint32_t i = 0; i < params->numSboxes * 3; i += 3) { - - for (uint8_t j = 0; j < 2; j++) { - a[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i - 2); - b[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i - 1); - c[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i); - } - - mpc_AND_verify(a, b, ab, rand, view1, view2, yCount); - mpc_AND_verify(b, c, bc, rand, view1, view2, yCount); - mpc_AND_verify(c, a, ca, rand, view1, view2, yCount); - - for (uint8_t j = 0; j < 2; j++) { - setBitInWordArray(state[j], params->stateSizeBits - 1 - i - 2, a[j] ^ (bc[j])); - setBitInWordArray(state[j], params->stateSizeBits - 1 - i - 1, a[j] ^ b[j] ^ (ca[j])); - setBitInWordArray(state[j], params->stateSizeBits - 1 - i, a[j] ^ b[j] ^ c[j] ^ (ab[j])); - } - } -} - -#else -void computeRoundKey2(uint32_t *key[2], uint32_t *output[2], uint32_t round, lowmcparams_t *params) { - mpc_multiplyWithKeyMatrix2(key, round, output, params); -} - -void mpc_substitution2(uint32_t *state[2], randomTape_t *rand, view_t *view1, - view_t *view2, uint32_t *yCount, lowmcparams_t *params) { - for (uint32_t i = 0; i < params->numSboxes * 3; i += 3) { - - uint8_t a[2]; - uint8_t b[2]; - uint8_t c[2]; - - for (uint8_t j = 0; j < 2; j++) { - a[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i - 2); - b[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i - 1); - c[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i); - } - - uint8_t ab[2]; - uint8_t bc[2]; - uint8_t ca[2]; - - mpc_AND_verify(a, b, ab, rand, view1, view2, yCount); - mpc_AND_verify(b, c, bc, rand, view1, view2, yCount); - mpc_AND_verify(c, a, ca, rand, view1, view2, yCount); - - for (uint8_t j = 0; j < 2; j++) { - setBitInWordArray(state[j], params->stateSizeBits - 1 - i - 2, a[j] ^ (bc[j])); - setBitInWordArray(state[j], params->stateSizeBits - 1 - i - 1, a[j] ^ b[j] ^ (ca[j])); - setBitInWordArray(state[j], params->stateSizeBits - 1 - i, a[j] ^ b[j] ^ c[j] ^ (ab[j])); - } - } -} -#endif - -#ifdef WITH_AVX -void verifyLowMC(view_t *view1, view_t *view2, - randomTape_t *tapes, uint32_t *slab, - const uint32_t *pubInput, lowmcparams_t *params) { - uint32_t *keyShares[2]; - __m256i roundKeyVec[2]; - __m256i stateVec[2]; - __m256i tempVec[2]; - - /* The slab parameter is unused, but we must keep it so the AVX - * and non-AVX versions of this function have the same signature */ - UNUSED_PARAMETER(slab); - - memset(&roundKeyVec[0], 0, 2 * params->stateSizeBytes); - - for (int i = 0; i < 2; i++) { - stateVec[i] = _mm256_load_si256((__m256i *) pubInput); - } - - uint32_t commBitCount = 0; - - keyShares[0] = view1->inputShare; - keyShares[1] = view2->inputShare; - - computeRoundKey2(keyShares, roundKeyVec, 0, params); - mpc_xor_vec2(stateVec, roundKeyVec, stateVec); - - __m256i roundConstantVec[2]; - - for (uint32_t r = 1; r <= params->numRounds; r++) { - /* initialize both roundkeys to 0. they are contingent */ - memset(&roundKeyVec[0], 0, 2 * params->stateSizeBytes); - roundConstantVec[0] = roundConstantVec[1] = roundConstantsVec[r - 1][0]; - computeRoundKey2(keyShares, roundKeyVec, r, params); - mpc_substitution2(stateVec, tapes, view1, view2, &commBitCount, params); - - memset(&tempVec[0], 0, params->stateSizeBytes); - memset(&tempVec[1], 0, params->stateSizeBytes); - - mpc_multiplyWithMatrix2(stateVec, r - 1, stateVec, tempVec, params); - - mpc_xor_vec2(stateVec, roundConstantVec, stateVec); - mpc_xor_vec2(stateVec, roundKeyVec, stateVec); - } - - memcpy(view1->outputShare, &stateVec[0], params->stateSizeBytes); - memcpy(view2->outputShare, &stateVec[1], params->stateSizeBytes); -} -#else -void verifyLowMC(view_t *view1, view_t *view2, - randomTape_t *tapes, uint32_t *slab, - const uint32_t *pubInput, lowmcparams_t *params) { - uint32_t *state[2]; - uint32_t *keyShares[2]; - uint32_t *roundKey[2]; - - roundKey[0] = slab; - roundKey[1] = slab + params->stateSizeWords; - state[0] = roundKey[1] + params->stateSizeWords; - state[1] = state[0] + params->stateSizeWords; - uint32_t *tmp = state[1] + params->stateSizeWords; - - uint32_t commBitCount = 0; - - // initialize both roundkeys to 0. they are contingent - memset(roundKey[0], 0, 2 * params->stateSizeBytes); - - for (uint32_t i = 0; i < 2; i++) { - memcpy(state[i], pubInput, params->stateSizeBytes); - } - - keyShares[0] = view1->inputShare; - keyShares[1] = view2->inputShare; - - computeRoundKey2(keyShares, roundKey, 0, params); - mpc_xor2(state, roundKey, params->stateSizeWords); - - uint32_t *roundConstant[2]; - - for (uint32_t r = 1; r <= params->numRounds; ++r) { - - // initialize both roundkeys to 0. they are contingent - memset(roundKey[0], 0, 2 * params->stateSizeBytes); - - for (int i = 0; i < 2; i++) { - roundConstant[i] = roundConstants[r - 1]; - } - - computeRoundKey2(keyShares, roundKey, r, params); - mpc_substitution2(state, tapes, view1, view2, &commBitCount, params); - mpc_multiplyWithMatrix2(state, r - 1, state, tmp, params); - mpc_xor2(state, roundConstant, params->stateSizeWords); - mpc_xor2(state, roundKey, params->stateSizeWords); - } - - memcpy(view1->outputShare, state[0], params->stateSizeBytes); - memcpy(view2->outputShare, state[1], params->stateSizeBytes); -} -#endif - -void verifyProof(const proof_t *proof, view_t *view1, view_t *view2, - uint8_t challenge, uint32_t *slab, - const uint32_t *pubInput, const uint8_t iv[16], randomTape_t *tape, lowmcparams_t *params) { - - memcpy(view2->communicatedBits, proof->communicatedBits, - params->numAndBytes); - - tape->pos = 0; - - uint8_t *randBuff = malloc(params->stateSizeBytes + params->numAndBytes); - if (randBuff == NULL) { - return; - } - - bool status = false; - switch (challenge) { - case 0: - // in this case, both views' inputs are derivable from the input share - - status = getAllRandomness(proof->seed1, randBuff, params->stateSizeBytes + params->numAndBytes, iv); - memcpy(tape->tape[0], randBuff, params->numAndBytes); - memcpy(view1->inputShare, &randBuff[params->numAndBytes], params->stateSizeBytes); - status = status && getAllRandomness(proof->seed2, randBuff, params->stateSizeBytes + params->numAndBytes, iv); - if (!status) { - break; - } - memcpy(tape->tape[1], randBuff, params->numAndBytes); - memcpy(view2->inputShare, &randBuff[params->numAndBytes], - params->stateSizeBytes); - break; - - case 1: - // in this case view2's input share was already given to us explicitly as - // it is not computable from the seed. We just need to compute view1's input from - // its seed - status = getAllRandomness(proof->seed1, randBuff, params->stateSizeBytes + params->numAndBytes, iv); - memcpy(tape->tape[0], randBuff, params->numAndBytes); - memcpy(view1->inputShare, &randBuff[params->numAndBytes], params->stateSizeBytes); - status = status && getAllRandomness(proof->seed2, tape->tape[1], params->numAndBytes, iv); - if (!status) { - break; - } - memcpy(view2->inputShare, proof->inputShare, - params->stateSizeBytes); - break; - - case 2: - // in this case view1's input share was already given to us explicitly as - // it is not computable from the seed. We just need to compute view2's input from - // its seed - status = getAllRandomness(proof->seed1, tape->tape[0], params->numAndBytes, iv); - memcpy(view1->inputShare, proof->inputShare, params->stateSizeBytes); - status = status && getAllRandomness(proof->seed2, randBuff, params->stateSizeBytes + params->numAndBytes, iv); - if (!status) { - break; - } - memcpy(tape->tape[1], randBuff, params->numAndBytes); - memcpy(view2->inputShare, &randBuff[params->numAndBytes], - params->stateSizeBytes); - break; - - default: - fprintf(stderr, "%s: Invalid Challenge\n", __func__); - break; - } - - if (!status) { - fprintf(stderr, "%s: Failed to generate random tapes, signature verification will fail (but signature may actually be valid)\n", __func__); - } - - free(randBuff); - - verifyLowMC(view1, view2, tape, slab, pubInput, params); -} - -int verify(signature_t *sig, const uint32_t *pubKey, const uint32_t *pubInput, - const uint8_t *message, size_t messageByteLength, transform_t transform, lowmcparams_t *params) { - -#ifdef WITH_AVX - uint32_t *pubInput_aligned = _mm_malloc(params->stateSizeBytes, 32); - memcpy(pubInput_aligned, pubInput, params->stateSizeBytes); - pubInput = pubInput_aligned; -#endif - - commitments_t *as = malloc(NUM_ZKB_ROUNDS * sizeof(commitments_t)); - - uint32_t *viewOutputs[NUM_ZKB_ROUNDS][3]; - const proof_t *proofs = sig->proofs; - - const uint8_t *received_challengebits = sig->challengeBits; - int status = EXIT_SUCCESS; - uint8_t *computed_challengebits = NULL; - uint32_t *view3Slab = NULL; - uint8_t iv[16]; - - generateAesIv(pubKey, pubInput, iv, params); - - view_t *view1s; - view_t *view2s; - view_t *views = malloc(2 * NUM_ZKB_ROUNDS * sizeof(view_t)); - view1s = views; - view2s = views + NUM_ZKB_ROUNDS; - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - allocateView(&view1s[i], params); - allocateView(&view2s[i], params); - } - - uint32_t *slab = (uint32_t *) malloc((6 * params->stateSizeBytes)); - - randomTape_t *tape = (randomTape_t *) malloc(sizeof(randomTape_t)); - allocateRandomTape(tape, params); - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - - //last byte of communicated bits will not nec get set so need to zero it out - view1s[i].communicatedBits[params->numAndBytes - 1] = 0; - - verifyProof(&proofs[i], &view1s[i], &view2s[i], - getChallenge(received_challengebits, i), - slab, pubInput, iv, tape, params); - } - - unruh_permutations_t *gs = NULL; - if (transform == TRANSFORM_UR) { - gs = malloc(NUM_ZKB_ROUNDS * sizeof(unruh_permutations_t)); - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - allocateUnruhPermutations(&gs[i], params); - } - } - - //create ordered array of commitments with order computed based on the challenge - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - // check commitments of the two opened views - uint8_t challenge = getChallenge(received_challengebits, i); - Commit(proofs[i].seed1, view1s[i], as[i].hashes[challenge], params); - Commit(proofs[i].seed2, view2s[i], as[i].hashes[(challenge + 1) % 3], params); - memcpy(as[i].hashes[(challenge + 2) % 3], proofs[i].view3Commitment, - SHA256_DIGEST_LENGTH); - - if (transform == TRANSFORM_UR) { - G(challenge, proofs[i].seed1, &view1s[i], gs[i].G[challenge], params); - G((challenge + 1) % 3, proofs[i].seed2, &view2s[i], gs[i].G[(challenge + 1) % 3], params); - size_t view3UnruhLength = (challenge == 0) ? params->UnruhGWithInputBytes : params->UnruhGWithoutInputBytes; - memcpy(gs[i].G[(challenge + 2) % 3], proofs[i].view3UnruhG, view3UnruhLength); - } - } - - /* Allocate a slab of memory for the 3rd view's output in each round */ - view3Slab = malloc(params->stateSizeBytes * NUM_ZKB_ROUNDS); - uint32_t *view3Output = view3Slab; /* pointer into the slab to the current 3rd view */ - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - uint8_t challenge = getChallenge(received_challengebits, i); - viewOutputs[i][challenge] = view1s[i].outputShare; - viewOutputs[i][(challenge + 1) % 3] = view2s[i].outputShare; - for (size_t j = 0; j < params->stateSizeWords; j++) { - view3Output[j] = view1s[i].outputShare[j] ^ view2s[i].outputShare[j] ^ pubKey[j]; - } - viewOutputs[i][(challenge + 2) % 3] = view3Output; - view3Output += params->stateSizeWords; - } - - computed_challengebits = malloc(numBytes(2 * NUM_ZKB_ROUNDS)); - - H3(pubKey, viewOutputs, as, NUM_ZKB_ROUNDS, - computed_challengebits, message, messageByteLength, transform, gs, params); - - if (computed_challengebits != NULL && - memcmp(received_challengebits, computed_challengebits, - numBytes(2 * NUM_ZKB_ROUNDS)) != 0) { - printf("%s: Invalid signature. Did not verify.\n", __func__); - status = EXIT_FAILURE; - } - -#ifdef WITH_AVX - _mm_free(pubInput_aligned); -#endif - free(computed_challengebits); - free(view3Slab); - - free(as); - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - freeView(&view1s[i]); - freeView(&view2s[i]); - } - free(views); - free(slab); - freeRandomTape(tape); - free(tape); - if (transform == TRANSFORM_UR) { - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - freeUnruhPermutations(&gs[i]); - } - free(gs); - } - return status; -} - -#ifdef WITH_AVX -void mpc_multiplyWithMatrix(__m256i stateVec[3], - uint32_t round, __m256i outputVec[3], - __m256i temp_vec[3], lowmcparams_t *params) { - uint32_t *state[3]; - uint32_t i; - - for (i = 0; i < 3; i++) { - state[i] = ((uint32_t *) &stateVec[i]); - } - - __m256i *bits_vec[4][3]; - - for (i = 0; i < params->stateSizeWords; i++) { - for (size_t j = 0; j < 4; j++) { - for (size_t k = 0; k < 3; k++) { - bits_vec[j][k] = - linearMatricesLookupTableVec[round][i * (sizeof(uint32_t)) + j][(state[k][i] >> (24 - (8 * j))) & 0xFF]; - } - } - mpc_xor4_vec3(temp_vec, bits_vec); - } - - for (i = 0; i < 3; i++) { - memcpy(&outputVec[i], &temp_vec[i], params->stateSizeBytes); - } -} - -void mpc_multiplyWithKeyMatrix(uint32_t *key[3], uint32_t round, __m256i output_vec[3], lowmcparams_t *params) { - uint32_t i; - __m256i *bits_vec[4][3]; - - for (i = 0; i < params->stateSizeWords; i++) { - for (size_t j = 0; j < 4; j++) { - for (size_t k = 0; k < 3; k++) { - bits_vec[j][k] = - keyMatricesLookupTableVec[round][i * (sizeof(uint32_t)) + j][(key[k][i] >> (24 - (8 * j))) & 0xFF]; - } - } - mpc_xor4_vec3(output_vec, bits_vec); - } -} -#else -void mpc_multiplyWithMatrix(uint32_t *state[3], uint32_t round, - uint32_t *output[3], uint32_t *tmp, lowmcparams_t *params) { - uint32_t i; - uint32_t *temp[3]; - - memset(tmp, 0, params->stateSizeBytes * 3); - - temp[0] = tmp; - temp[1] = tmp + params->stateSizeWords; - temp[2] = temp[1] + params->stateSizeWords; - - uint32_t *bits[4][3]; - - for (i = 0; i < params->stateSizeWords; i++) { - for (size_t j = 0; j < 4; j++) { - for (size_t k = 0; k < 3; k++) { - bits[j][k] = linearMatricesLookupTable[round][i * (sizeof(uint32_t)) + j][(state[k][i] >> (24 - (8 * j))) & 0xFF]; - } - } - mpc_xor4_3(temp, bits, params); - } - - for (i = 0; i < 3; i++) { - memcpy(output[i], temp[i], params->stateSizeBytes); - } -} - -void mpc_multiplyWithKeyMatrix(uint32_t *key[3], uint32_t round, - uint32_t *output[3], lowmcparams_t *params) { - uint32_t i; - uint32_t *bits[4][3]; - - for (i = 0; i < params->stateSizeWords; i++) { - for (size_t j = 0; j < 4; j++) { - for (size_t k = 0; k < 3; k++) { - bits[j][k] = keyMatricesLookupTable[round][i * (sizeof(uint32_t)) + j][(key[k][i] >> (24 - (8 * j))) & 0xFF]; - } - } - mpc_xor4_3(output, bits, params); - } -} -#endif - -void mpc_AND(uint8_t in1[3], uint8_t in2[3], uint8_t out[3], randomTape_t *rand, - view_t views[3], uint32_t *yCount) { - uint8_t r[3] = {getBit(rand->tape[0], rand->pos), getBit(rand->tape[1], rand->pos), getBit(rand->tape[2], rand->pos)}; - - (rand->pos)++; - - for (uint8_t i = 0; i < 3; i++) { - out[i] = (in1[i] & in2[(i + 1) % 3]) ^ (in1[(i + 1) % 3] & in2[i]) ^ (in1[i] & in2[i]) ^ r[i] ^ r[(i + 1) % 3]; - - setBit(views[i].communicatedBits, *yCount, out[i]); - } - - (*yCount)++; -} - -#ifdef WITH_AVX -void computeRoundKey(uint32_t *key[3], __m256i output_vec[3], uint32_t round, lowmcparams_t *params) { - mpc_multiplyWithKeyMatrix(key, round, output_vec, params); -} - -void mpc_substitution(__m256i stateVec[3], randomTape_t *rand, view_t views[3], - uint32_t *yCount, lowmcparams_t *params) { - uint32_t *state[3]; - - for (int i = 0; i < 3; i++) { - state[i] = ((uint32_t *) &stateVec[i]); - } - - uint8_t a[3]; - uint8_t b[3]; - uint8_t c[3]; - - uint8_t ab[3]; - uint8_t bc[3]; - uint8_t ca[3]; - - for (uint32_t i = 0; i < params->numSboxes * 3; i += 3) { - - for (uint8_t j = 0; j < 3; j++) { - a[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i - 2); - b[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i - 1); - c[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i); - } - - mpc_AND(a, b, ab, rand, views, yCount); - mpc_AND(b, c, bc, rand, views, yCount); - mpc_AND(c, a, ca, rand, views, yCount); - - for (uint8_t j = 0; j < 3; j++) { - setBitInWordArray(state[j], params->stateSizeBits - 1 - i - 2, a[j] ^ (bc[j])); - setBitInWordArray(state[j], params->stateSizeBits - 1 - i - 1, a[j] ^ b[j] ^ (ca[j])); - setBitInWordArray(state[j], params->stateSizeBits - 1 - i, a[j] ^ b[j] ^ c[j] ^ (ab[j])); - } - } -} - -#else -void computeRoundKey(uint32_t *key[3], uint32_t *output[3], uint32_t round, lowmcparams_t *params) { - mpc_multiplyWithKeyMatrix(key, round, output, params); -} - -void mpc_substitution(uint32_t *state[3], randomTape_t *rand, view_t views[3], - uint32_t *yCount, lowmcparams_t *params) { - uint8_t a[3]; - uint8_t b[3]; - uint8_t c[3]; - - uint8_t ab[3]; - uint8_t bc[3]; - uint8_t ca[3]; - - for (uint32_t i = 0; i < params->numSboxes * 3; i += 3) { - - for (uint8_t j = 0; j < 3; j++) { - a[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i - 2); - b[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i - 1); - c[j] = getBitFromWordArray(state[j], params->stateSizeBits - 1 - i); - } - - mpc_AND(a, b, ab, rand, views, yCount); - mpc_AND(b, c, bc, rand, views, yCount); - mpc_AND(c, a, ca, rand, views, yCount); - - for (uint8_t j = 0; j < 3; j++) { - setBitInWordArray(state[j], params->stateSizeBits - 1 - i - 2, a[j] ^ (bc[j])); - setBitInWordArray(state[j], params->stateSizeBits - 1 - i - 1, a[j] ^ b[j] ^ (ca[j])); - setBitInWordArray(state[j], params->stateSizeBits - 1 - i, a[j] ^ b[j] ^ c[j] ^ (ab[j])); - } - } -} -#endif - -#ifdef WITH_AVX -void mpc_LowMC(randomTape_t *tapes, view_t views[3], - uint32_t *countY, const uint32_t *pubInput, uint32_t *slab, lowmcparams_t *params) { - uint32_t *keyShares[3]; - - __m256i roundKey[3]; - __m256i state[3]; - __m256i temp[3]; - __m256i roundConstant[3]; - - /* The slab parameter is unused, but we must keep it so the AVX - * and non-AVX versions of this function have the same signature */ - UNUSED_PARAMETER(slab); - - memset(&roundKey[0], 0, 3 * params->stateSizeBytes); - - for (int i = 0; i < 3; i++) { - keyShares[i] = views[i].inputShare; - state[i] = _mm256_load_si256((__m256i *) pubInput); - } - - computeRoundKey(keyShares, roundKey, 0, params); - mpc_xor_vec3(state, roundKey, state); - - for (uint32_t r = 1; r <= params->numRounds; r++) { - memset(&roundKey[0], 0, 3 * params->stateSizeBytes); - - roundConstant[0] = roundConstant[1] = roundConstant[2] = roundConstantsVec[r - 1][0]; - - computeRoundKey(keyShares, roundKey, r, params); - mpc_substitution(state, tapes, views, countY, params); - memset(&temp[0], 0, params->stateSizeBytes); - memset(&temp[1], 0, params->stateSizeBytes); - memset(&temp[2], 0, params->stateSizeBytes); - mpc_multiplyWithMatrix(state, r - 1, state, temp, params); - mpc_xor_vec3(state, roundConstant, state); - mpc_xor_vec3(state, roundKey, state); - } - for (int i = 0; i < 3; i++) { - memcpy(views[i].outputShare, &state[i], params->stateSizeBytes); - } -} -#else -void mpc_LowMC(randomTape_t *tapes, view_t views[3], - uint32_t *countY, const uint32_t *pubInput, uint32_t *slab, lowmcparams_t *params) { - uint32_t *keyShares[3]; - uint32_t *state[3]; - uint32_t *roundKey[3]; - uint32_t *roundConstant[3]; - - roundKey[0] = slab; - roundKey[1] = slab + params->stateSizeWords; - roundKey[2] = roundKey[1] + params->stateSizeWords; - state[0] = roundKey[2] + params->stateSizeWords; - state[1] = state[0] + params->stateSizeWords; - state[2] = state[1] + params->stateSizeWords; - uint32_t *tmp = state[2] + params->stateSizeWords; - - memset(roundKey[0], 0, 3 * params->stateSizeBytes); - for (int i = 0; i < 3; i++) { - keyShares[i] = views[i].inputShare; - memcpy(state[i], pubInput, params->stateSizeBytes); - } - - computeRoundKey(keyShares, roundKey, 0, params); - mpc_xor(state, roundKey, params->stateSizeWords); - - for (uint32_t r = 1; r <= params->numRounds; r++) { - - memset(roundKey[0], 0, 3 * params->stateSizeBytes); - - for (int i = 0; i < 3; i++) { - roundConstant[i] = roundConstants[r - 1]; - } - computeRoundKey(keyShares, roundKey, r, params); - mpc_substitution(state, tapes, views, countY, params); - mpc_multiplyWithMatrix(state, r - 1, state, tmp, params); - mpc_xor(state, roundConstant, params->stateSizeWords); - mpc_xor(state, roundKey, params->stateSizeWords); - } - - for (int i = 0; i < 3; i++) { - memcpy(views[i].outputShare, state[i], params->stateSizeBytes); - } -} -#endif - -void runMPC(view_t views[3], randomTape_t *rand, - uint32_t *pubInput, uint32_t *slab, lowmcparams_t *params) { - rand->pos = 0; - uint32_t commBitCount = 0; - mpc_LowMC(rand, views, &commBitCount, pubInput, slab, params); -} - -int random_bytes_default_openssl(uint8_t *buf, size_t len) { - /* - * Returns 1 on success, other value on error - * The error can be obtained with ERR_get_error() - * https://wiki.openssl.org/index.php/Random_Numbers#Software - */ - if (len > INT_MAX) { - return 0; - } - return RAND_bytes(buf, (int) len); -} - -int sign(uint32_t *privateKey, uint32_t *pubKey, uint32_t *pubInput, const uint8_t *message, - size_t messageByteLength, signature_t *sig, transform_t transform, lowmcparams_t *params) { -#ifdef WITH_AVX - uint32_t *pubInput_aligned = _mm_malloc(params->stateSizeBytes, 32); - memcpy(pubInput_aligned, pubInput, params->stateSizeBytes); - pubInput = pubInput_aligned; -#endif - - // these are 256 bit seeds to AES256 which we use as our PRG. - uint8_t(*seeds)[3][PRG_SEED_LENGTH] = malloc(NUM_ZKB_ROUNDS * sizeof(*seeds)); - - commitments_t *as = malloc(NUM_ZKB_ROUNDS * sizeof(commitments_t)); - - // 3 views per round - view_t **views = malloc(NUM_ZKB_ROUNDS * sizeof(view_t *)); - if (views == NULL) { - fprintf(stderr, "out of memory\n"); - return EXIT_FAILURE; - } - for (int i = 0; i < NUM_ZKB_ROUNDS; i++) { - views[i] = malloc(3 * sizeof(view_t)); - if (views[i] == NULL) { - fprintf(stderr, "out of memory\n"); - return EXIT_FAILURE; - } - } - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - for (size_t j = 0; j < 3; j++) { - allocateView(&views[i][j], params); - - //last byte of communiated bits will not nec get set so need to zero it out - views[i][j].communicatedBits[params->numAndBytes - 1] = 0; - - // Generate random seeds - if (picnic_random_bytes(seeds[i][j], PRG_SEED_LENGTH) != 1) { - fprintf(stderr, "%s: failed to generate random bytes\n", __func__); - return EXIT_FAILURE; - } - } - } - - //Generating randomness for mpc - randomTape_t *tape = malloc(NUM_ZKB_ROUNDS * sizeof(randomTape_t)); - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - allocateRandomTape(&tape[i], params); - } - uint8_t *randBuff = malloc(params->stateSizeBytes + params->numAndBytes); - if (randBuff == NULL) { - return EXIT_FAILURE; - } - uint32_t *slab = NULL; - uint8_t iv[16]; - generateAesIv(pubKey, pubInput, iv, params); -#if !defined(WITH_AVX) - slab = (uint32_t *) malloc(9 * params->stateSizeBytes); -#endif - - unruh_permutations_t *gs = NULL; - if (transform == TRANSFORM_UR) { - gs = malloc(NUM_ZKB_ROUNDS * sizeof(unruh_permutations_t)); - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - allocateUnruhPermutations(&gs[i], params); - } - } - - bool status; - for (int k = 0; k < NUM_ZKB_ROUNDS; k++) { - // for first two players get all tape INCLUDING INPUT SHARE from seed - for (int j = 0; j < 2; j++) { - status = getAllRandomness(seeds[k][j], randBuff, params->stateSizeBytes + params->numAndBytes, iv); - if (!status) { - fprintf(stderr, "%s: getAllRandomness failed \n", __func__); - return EXIT_FAILURE; - } - - memcpy(tape[k].tape[j], randBuff, params->numAndBytes); - memcpy(views[k][j].inputShare, &randBuff[params->numAndBytes], params->stateSizeBytes); - } - // now set third party's wire. We just get the random bits from the seed, but the input is - // the XOR of other two inputs and the private key - status = getAllRandomness(seeds[k][2], tape[k].tape[2], params->numAndBytes, iv); - if (!status) { - fprintf(stderr, "%s: getAllRandomness failed \n", __func__); - return EXIT_FAILURE; - } - - for (uint32_t j = 0; j < params->stateSizeWords; j++) { - views[k][2].inputShare[j] = privateKey[j] ^ views[k][0].inputShare[j] ^ views[k][1].inputShare[j]; - } - } - - //Running MPC - for (int k = 0; k < NUM_ZKB_ROUNDS; k++) { - runMPC(views[k], &tape[k], - pubInput, slab, params); - } - - //Committing - for (int k = 0; k < NUM_ZKB_ROUNDS; k++) { - Commit(seeds[k][0], views[k][0], as[k].hashes[0], params); - Commit(seeds[k][1], views[k][1], as[k].hashes[1], params); - Commit(seeds[k][2], views[k][2], as[k].hashes[2], params); - } - - if (transform == TRANSFORM_UR) { - for (size_t k = 0; k < NUM_ZKB_ROUNDS; k++) { - G(0, seeds[k][0], &views[k][0], gs[k].G[0], params); - G(1, seeds[k][1], &views[k][1], gs[k].G[1], params); - G(2, seeds[k][2], &views[k][2], gs[k].G[2], params); - } - } - - //Generating challenges - uint32_t *viewOutputs[NUM_ZKB_ROUNDS][3]; - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - for (size_t j = 0; j < 3; j++) { - viewOutputs[i][j] = views[i][j].outputShare; - } - } - - uint32_t output[LOWMC_MAX_STATE_SIZE]; - for (uint32_t j = 0; j < params->stateSizeWords; j++) { - output[j] = viewOutputs[0][0][j] ^ viewOutputs[0][1][j] ^ viewOutputs[0][2][j]; - } - - H3(output, viewOutputs, as, NUM_ZKB_ROUNDS, - sig->challengeBits, message, messageByteLength, transform, gs, params); - - //Packing Z - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - proof_t *proof = &sig->proofs[i]; - prove(proof, getChallenge(sig->challengeBits, i), seeds[i], - views[i], &as[i], (gs == NULL) ? NULL : &gs[i], params); - } -#ifdef WITH_AVX - _mm_free(pubInput_aligned); -#else - free(slab); -#endif - - free(randBuff); - free(seeds); - - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - for (size_t j = 0; j < 3; j++) { - freeView(&views[i][j]); - } - free(views[i]); - } - - free(views); - free(as); - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - freeRandomTape(&tape[i]); - } - free(tape); - if (transform == TRANSFORM_UR) { - for (size_t i = 0; i < NUM_ZKB_ROUNDS; i++) { - freeUnruhPermutations(&gs[i]); - } - free(gs); - } - - return EXIT_SUCCESS; -} diff --git a/src/sig_picnic_msr/LowMC.h b/src/sig_picnic_msr/LowMC.h deleted file mode 100644 index 1c59bbf72..000000000 --- a/src/sig_picnic_msr/LowMC.h +++ /dev/null @@ -1,81 +0,0 @@ -/*! @file LowMC.h - * @brief Header file for LowMC.c, the file where all the LowMC - * proof-of-knowledge operations are done. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ -#ifndef LOWMC_H -#define LOWMC_H - -#include -#include "LowMCConstants.h" - -#define PRG_SEED_LENGTH 32 - -#define NUM_ZKB_ROUNDS 438 - -typedef struct proof_t { - uint8_t seed1[PRG_SEED_LENGTH]; - uint8_t seed2[PRG_SEED_LENGTH]; - uint32_t *inputShare; // Input share of the party which does not derive it from the seed (not included if challenge is 0) - uint8_t *communicatedBits; - uint8_t view3Commitment[SHA256_DIGEST_LENGTH]; - uint8_t *view3UnruhG; // we include the max length, but we will only serialize the bytes we use -} proof_t; - -typedef struct signature_t { - proof_t proofs[NUM_ZKB_ROUNDS]; - uint8_t challengeBits[((2 * NUM_ZKB_ROUNDS) - 1) / 8 + 1]; // there are 2 bits per round for the challenge. -} signature_t; - -typedef enum { - TRANSFORM_FS = 0, - TRANSFORM_UR = 1, - TRANSFORM_INVALID = 255 -} transform_t; - -int sign(uint32_t *privateKey, uint32_t *pubKey, uint32_t *pubInput, const uint8_t *message, size_t messageByteLength, signature_t *sig, transform_t transform, lowmcparams_t *params); -int verify(signature_t *sig, const uint32_t *pubKey, const uint32_t *pubInput, const uint8_t *message, size_t messageByteLength, transform_t transform, lowmcparams_t *params); - -void allocateSignature(signature_t *sig, lowmcparams_t *params); -void freeSignature(signature_t *sig); - -/* Returns the number of bytes written on success, or -1 on error */ -int serializeSignature(const signature_t *sig, uint8_t *sigBytes, size_t sigBytesLen, transform_t transform, lowmcparams_t *params); -/* Returns EXIT_SUCCESS on success or EXIT_FAILURE on error */ -int deserializeSignature(signature_t *sig, const uint8_t *sigBytes, size_t sigBytesLen, transform_t transform, lowmcparams_t *params); - -/* Functions to initialize OpenSSL */ -void init_EVP(); -void cleanup_EVP(); - -/* - * Fill buf with len random bytes. - * Returns 1 on success, 0 on failure - */ -int random_bytes_default_openssl(uint8_t *buf, size_t len); - -/* Return the number of bytes required to represent the given number of bits */ -uint32_t numBytes(uint32_t numBits); - -/* Get a bit from a byte array */ -uint8_t getBit(const uint8_t *array, uint32_t bitNumber); -uint8_t getBitFromWordArray(const uint32_t *array, uint32_t bitNumber); - -/* Set a bit in a byte/word array */ -void setBit(uint8_t *bytes, uint32_t bitNumber, uint8_t val); -void setBitInWordArray(uint32_t *bytes, uint32_t bitNumber, uint8_t val); - -#endif /* LOWMC_H */ diff --git a/src/sig_picnic_msr/LowMCConstants.h b/src/sig_picnic_msr/LowMCConstants.h deleted file mode 100644 index 1b332d69f..000000000 --- a/src/sig_picnic_msr/LowMCConstants.h +++ /dev/null @@ -1,51 +0,0 @@ -/*! @file LowMCConstants.h - * @brief Constant parameters for the LowMC instantiations used in the - * signature scheme. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ -#include -#ifndef LOWMCCONSTANTS_H -#define LOWMCCONSTANTS_H - -#define WORD_SIZE_BITS 32 // the word size for the implementation. Not a LowMC parameter - -#define STATE_SIZE_BITS 256 -#define STATE_SIZE_WORDS STATE_SIZE_BITS / WORD_SIZE_BITS - -#define LOWMC_MAX_STATE_SIZE 32 - -#if (STATE_SIZE_WORDS & 1) == 1 -#error The implementation of LowMC assumes STATE_SIZE_WORDS is even -#endif - -#ifdef __WINDOWS__ -#define DEFAULT_DATA_PATH "precomputed_data\\" -#else -#define DEFAULT_DATA_PATH "precomputed_data/" -#endif - -typedef struct lowmcparams_t { - uint32_t numRounds; - uint32_t numSboxes; - uint32_t stateSizeBits; - uint32_t stateSizeBytes; - uint32_t stateSizeWords; - uint32_t numAndBytes; - uint32_t UnruhGWithoutInputBytes; - uint32_t UnruhGWithInputBytes; -} lowmcparams_t; - -#endif /* LOWMCCONSTANTS_H */ diff --git a/src/sig_picnic_msr/LowMCEnc.c b/src/sig_picnic_msr/LowMCEnc.c deleted file mode 100644 index 236cf7dc2..000000000 --- a/src/sig_picnic_msr/LowMCEnc.c +++ /dev/null @@ -1,282 +0,0 @@ -/*! @file LowMCEnc.c - * @brief C implementation of LowMC encrypt. This is used to generate keys - * for the Picnic signature scheme. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ - -#include -#include -#include -#include -#include -#include - -#include "LowMCConstants.h" -#include "platform.h" - -#define t 8 - -uint32_t (*linearMatricesLookupTable)[STATE_SIZE_BITS / t][1 << t][STATE_SIZE_WORDS]; -uint32_t (*keyMatricesLookupTable)[STATE_SIZE_BITS / t][1 << t][STATE_SIZE_WORDS]; -uint32_t (*roundConstants)[STATE_SIZE_WORDS]; - -__m256i (*linearMatricesLookupTableVec)[STATE_SIZE_BITS / t][1 << t][1]; -__m256i (*keyMatricesLookupTableVec)[STATE_SIZE_BITS / t][1 << t][1]; -__m256i (*roundConstantsVec)[1]; - -/* Helper functions */ - -/* Get one bit from a byte array */ -static uint8_t getBit(const uint32_t *array, uint32_t bitNumber) { - return (array[bitNumber / WORD_SIZE_BITS] >> (WORD_SIZE_BITS - 1 - (bitNumber % WORD_SIZE_BITS))) & 0x01; -} - -/* Set a specific bit in a byte array to a given value */ -static void setBit(uint32_t *bytes, uint32_t bitNumber, uint8_t val) { - bytes[bitNumber / WORD_SIZE_BITS] = (bytes[bitNumber / WORD_SIZE_BITS] & ~(1 << (WORD_SIZE_BITS - 1 - (bitNumber % WORD_SIZE_BITS)))) | (val << (WORD_SIZE_BITS - 1 - (bitNumber % WORD_SIZE_BITS))); -} - -static void xor_bytes(uint32_t *in1, uint32_t *in2, uint32_t *out, uint32_t numBytes) { - for (uint32_t i = 0; i < numBytes; i++) { - out[i] = in1[i] ^ in2[i]; - } -} - -static void multiplyWithMatrix(uint32_t *state, - uint32_t matrix[STATE_SIZE_BITS / t][1 << t][STATE_SIZE_WORDS], - uint32_t *output, lowmcparams_t *params) { - uint32_t temp[STATE_SIZE_WORDS] = {0}; - - for (uint32_t i = 0; i < params->stateSizeWords; i++) { - xor_bytes(temp, matrix[i * (sizeof(uint32_t))][(state[i] >> 24) & 0xFF], temp, - params->stateSizeWords); - xor_bytes(temp, matrix[i * (sizeof(uint32_t)) + 1][(state[i] >> 16) & 0xFF], - temp, params->stateSizeWords); - xor_bytes(temp, matrix[i * (sizeof(uint32_t)) + 2][(state[i] >> 8) & 0xFF], - temp, params->stateSizeWords); - xor_bytes(temp, matrix[i * (sizeof(uint32_t)) + 3][(state[i]) & 0xFF], temp, - params->stateSizeWords); - } - memcpy(output, &temp, params->stateSizeBytes); -} - -// starts from the left, and interprets the first bit t encounters as the highest order bit (compared to the lookup table -// in lowmc reference code. may need to change this -static void substitution(uint32_t *state, lowmcparams_t *params) { - for (uint32_t i = 0; i < params->numSboxes * 3; i += 3) { - uint8_t a = getBit(state, params->stateSizeBits - 1 - i - 2); - uint8_t b = getBit(state, params->stateSizeBits - 1 - i - 1); - uint8_t c = getBit(state, params->stateSizeBits - 1 - i); - setBit(state, params->stateSizeBits - 1 - i - 2, a ^ (b & c)); - setBit(state, params->stateSizeBits - 1 - i - 1, a ^ b ^ (a & c)); - setBit(state, params->stateSizeBits - 1 - i, a ^ b ^ c ^ (a & b)); - } -} - -static void computeRoundKey(uint32_t *key, uint32_t *output, uint32_t round, lowmcparams_t *params) { - multiplyWithMatrix(key, keyMatricesLookupTable[round], output, params); -} - -int readRoundConstants(lowmcparams_t *params, FILE *fp) { - size_t ret; - uint32_t numRounds = params->numRounds; - uint32_t stateWords = params->stateSizeWords; - - roundConstants = malloc( - numRounds * sizeof(*roundConstants)); - if (roundConstants == NULL) { - fprintf(stderr, "%s: Failed to allocate roundConstants.\n", __func__); - fclose(fp); - return -1; - } - -#ifdef WITH_AVX - roundConstantsVec = _mm_malloc( - numRounds * sizeof(*roundConstantsVec), 32); - if (roundConstantsVec == NULL) { - fprintf(stderr, "%s: Failed to allocate roundConstantsVec.\n", __func__); - fclose(fp); - return -1; - } -#endif - - for (uint32_t i = 0; i < numRounds; i++) { - ret = fread(&roundConstants[i], - sizeof(uint32_t), stateWords, fp); -#ifdef WITH_AVX - *roundConstantsVec[i] = _mm256_loadu_si256( - (__m256i *) roundConstants[i]); -#endif - if (ret != stateWords) { - fprintf(stderr, "%s: Failed to read round constants, aborting.\n", __func__); - fclose(fp); - free(roundConstants); -#ifdef WITH_AVX - _mm_free(roundConstantsVec); -#endif - return -1; - } - } - fclose(fp); - return 0; -} - -int readLookupTables(lowmcparams_t *params, const char *path) { - FILE *fp; - size_t ret; - char filename[256]; - - if (path == NULL) { - path = DEFAULT_DATA_PATH; - } else if (strlen(path) > 220) { - fprintf(stderr, "%s: Faield to read lookup tables. Provided path is too long\n", __func__); - return -1; - } - - sprintf(filename, "%slookupTables_%d_%d_%d.bin", path, params->stateSizeBits, params->numSboxes, params->numRounds); - fp = fopen(filename, "rb"); - if (fp == NULL) { - fprintf(stderr, "%s: Failed to open '%s'.\n", __func__, filename); - return -1; - } - - uint32_t numRounds = params->numRounds; - uint32_t stateBits = params->stateSizeBits; - uint32_t stateWords = params->stateSizeWords; - linearMatricesLookupTable = malloc( - numRounds * sizeof(*linearMatricesLookupTable)); - if (linearMatricesLookupTable == NULL) { - fprintf(stderr, "%s: Failed to allocate linearMatricesLookupTable.\n", __func__); - fclose(fp); - return -1; - } - -#ifdef WITH_AVX - linearMatricesLookupTableVec = _mm_malloc( - numRounds * sizeof(*linearMatricesLookupTableVec), 32); - if (linearMatricesLookupTableVec == NULL) { - fprintf(stderr, "%s: Failed to allocate keyMatricesLookupTableVec.\n", __func__); - fclose(fp); - return -1; - } -#endif - - for (uint32_t i = 0; i < numRounds; i++) { - for (uint32_t j = 0; j < stateBits / t; j++) { - for (uint32_t k = 0; k < (1 << t); k++) { - ret = fread(linearMatricesLookupTable[i][j][k], sizeof(uint32_t), stateWords, fp); -#ifdef WITH_AVX - *linearMatricesLookupTableVec[i][j][k] = _mm256_loadu_si256( - (__m256i *) linearMatricesLookupTable[i][j][k]); -#endif - if (ret != stateWords) { - fprintf(stderr, "%s: Failed to read look up table, aborting.\n", __func__); - fclose(fp); - free(linearMatricesLookupTable); -#ifdef WITH_AVX - _mm_free(linearMatricesLookupTableVec); -#endif - return -1; - } - } - } - } - - numRounds++; - - keyMatricesLookupTable = malloc(numRounds * sizeof(*keyMatricesLookupTable)); - - if (keyMatricesLookupTable == NULL) { - fprintf(stderr, "%s: Failed to allocate keyMatricesLookupTable.\n", __func__); - fclose(fp); - free(linearMatricesLookupTable); - return -1; - } - -#ifdef WITH_AVX - keyMatricesLookupTableVec = _mm_malloc(numRounds * sizeof(*keyMatricesLookupTableVec), 32); - - if (keyMatricesLookupTableVec == NULL) { - fprintf(stderr, "%s: Failed to allocate keyMatricesLookupTableVec.\n", __func__); - fclose(fp); - _mm_free(linearMatricesLookupTableVec); - return -1; - } -#endif - - for (uint32_t i = 0; i < numRounds; i++) { - for (uint32_t j = 0; j < stateBits / t; j++) { - for (uint32_t k = 0; k < (1 << t); k++) { - ret = fread(keyMatricesLookupTable[i][j][k], sizeof(uint32_t), - stateWords, fp); -#ifdef WITH_AVX - *keyMatricesLookupTableVec[i][j][k] = _mm256_loadu_si256( - (__m256i *) keyMatricesLookupTable[i][j][k]); -#endif - - if (ret != stateWords) { - fprintf(stderr, "%s: Failed to read look up table, aborting. \n", __func__); - fclose(fp); - free(linearMatricesLookupTable); - free(keyMatricesLookupTable); -#ifdef WITH_AVX - _mm_free(linearMatricesLookupTableVec); - _mm_free(keyMatricesLookupTable); -#endif - return -1; - } - } - } - } - - return readRoundConstants(params, fp); -} -void freeRoundConstants() { - free(roundConstants); -#ifdef WITH_AVX - _mm_free(roundConstantsVec); -#endif -} - -void freeLookupTables() { - free(linearMatricesLookupTable); - free(keyMatricesLookupTable); -#ifdef WITH_AVX - _mm_free(linearMatricesLookupTableVec); - _mm_free(keyMatricesLookupTableVec); -#endif - freeRoundConstants(); -} - -void LowMCEnc(const uint32_t *plaintext, uint32_t *output, uint32_t *key, lowmcparams_t *params) { - uint32_t roundKey[LOWMC_MAX_STATE_SIZE / sizeof(uint32_t)]; - - if (plaintext != output) { - /* output will hold the intermediate state */ - memcpy(output, plaintext, params->stateSizeBytes); - } - - computeRoundKey(key, roundKey, 0, params); - xor_bytes(output, roundKey, output, params->stateSizeWords); - - for (uint32_t r = 1; r <= params->numRounds; r++) { - computeRoundKey(key, roundKey, r, params); - substitution(output, params); - multiplyWithMatrix(output, linearMatricesLookupTable[r - 1], output, params); - xor_bytes(output, roundConstants[r - 1], output, params->stateSizeWords); - xor_bytes(output, roundKey, output, params->stateSizeWords); - } -} diff --git a/src/sig_picnic_msr/LowMCEnc.h b/src/sig_picnic_msr/LowMCEnc.h deleted file mode 100644 index 9e5b31c05..000000000 --- a/src/sig_picnic_msr/LowMCEnc.h +++ /dev/null @@ -1,47 +0,0 @@ -/*! @file LowMCEnc.h - * @brief Header file for LowMcEnc.c, the C implementation of LowMC. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ - -#ifndef LowMCEnc_h -#define LowMCEnc_h - -#include -#include "LowMCConstants.h" - -/** Encrypt one block of data with the specified LowMC parameter set - * - * @param plaintext[in] The plaintext to encrypt, must have length STATE_SIZE_BYTES - * @param ciphertext[in,out] The output ciphertext, must have length STATE_SIZE_BYTES - * @param key[in] The key to use for encryption. Must have length STATE_SIZE_BYTES - * @param parameters[in] The LowMC parameter set to be used - * - * @remark Before encryption, readLookupTables must be called, and afterwards - * freeLookupTables should be called to free memory. - */ -void LowMCEnc(const uint32_t *plaintext, uint32_t *ciphertext, - const uint32_t *key, lowmcparams_t *parameters); - -/** Read precomputed data required by LowMCEnc(). - * If the path parameter is NULL, data is read from DEFAULT_DATA_PATH. If the path - * parameter is provided, it must contain the trailing slash, i.e., "mypath/", not "mypath" - */ -int readLookupTables(lowmcparams_t *params, const char *path); - -/** Free memory allocated by readLookupTables */ -void freeLookupTables(); - -#endif /* LowMcEnc_h */ diff --git a/src/sig_picnic_msr/Makefile.am b/src/sig_picnic_msr/Makefile.am deleted file mode 100644 index 4c6698f2e..000000000 --- a/src/sig_picnic_msr/Makefile.am +++ /dev/null @@ -1,8 +0,0 @@ -AUTOMAKE_OPTIONS = foreign -noinst_LTLIBRARIES = libpicnicmsr.la - - -libpicnicmsr_la_SOURCES = LowMCEnc.c LowMC.c picnic.c - -libpicnicmsr_la_CPPFLAGS = -O3 -march=native -Wall -Wextra -Wpedantic -Werror -std=gnu99 -D__LINUX__ -D__X64__ - diff --git a/src/sig_picnic_msr/benchmark_lowmc.c b/src/sig_picnic_msr/benchmark_lowmc.c deleted file mode 100644 index 5b294406d..000000000 --- a/src/sig_picnic_msr/benchmark_lowmc.c +++ /dev/null @@ -1,322 +0,0 @@ -/*! @file benchmark_lowmc.c - * @brief Benchmarking code for the Picnic and Fish signature schemes. KeyGen, - * sign, and verify are benchmarked both directly as well as using the - * signature API. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ - -#include -#include -#include -#include -#include -#include - -#include -#include -#include -#include -#include - -#include "LowMCEnc.h" -#include "LowMC.h" -#include "test_util.h" -#include - -#include "picnic.h" - -#define NUM_ITER 1 -#define t 8 - -#define MESSAGE_LEN 50 - -#define TRANSFORM_STRING(tr) ((tr == TRANSFORM_UR) ? "UR" : "FS") - -/* function defined in picnic.c, used here for testing, but not part of the Picnic API */ -int picnicParamsToLowMCParams(picnic_params_t picnicParams, lowmcparams_t *lowmcParams); - -/* nameOfConfig is just used to print the results nicely and can be anything, but - * should be a recognizable name of the circuit used */ -void benchmarkPicnicDirect(const char *nameOfConfig, transform_t transform, picnic_params_t params) { - lowmcparams_t lowmcparams; - - if (picnicParamsToLowMCParams(params, &lowmcparams) != EXIT_SUCCESS) { - exit(-1); - } - - uint32_t *privateKey = calloc(lowmcparams.stateSizeWords, sizeof(uint32_t)); - privateKey[lowmcparams.stateSizeWords - 1] = 1; - uint32_t *pubInput = calloc(lowmcparams.stateSizeWords, sizeof(uint32_t)); - pubInput[lowmcparams.stateSizeWords - 1] = 1; - - uint8_t message[MESSAGE_LEN]; - memset(&message, 0, sizeof(message)); - - if (readLookupTables(&lowmcparams, NULL) != 0) { - fprintf(stdout, "Initialization failed (reading look-up tables).\n"); - fflush(stdout); - exit(-1); - } - - uint64_t cycles_begin, cycles_end; - - /* Generate key pair */ - uint32_t *publicKey = (uint32_t *) malloc(lowmcparams.stateSizeWords * sizeof(uint32_t)); - signature_t *signature = malloc(sizeof(signature_t)); - allocateSignature(signature, &lowmcparams); - - printf("\nPicnic direct benchmark: running keyGen, sign & verify for %d iterations of %d rounds each \n", - NUM_ITER, NUM_ZKB_ROUNDS); - - cycles_begin = cpucycles(); - for (int i = 0; i < NUM_ITER; i++) { - LowMCEnc(pubInput, publicKey, privateKey, &lowmcparams); - } - cycles_end = cpucycles(); - - char label[100]; - sprintf(label, "Time for [%s-%s] keyGeneration (LowMCEnc())", nameOfConfig, TRANSFORM_STRING(transform)); - bench_print(label, (cycles_end - cycles_begin), NUM_ITER); /* The 3rd param is the number of runs*/ - - cycles_begin = cpucycles(); - for (int i = 0; i < NUM_ITER; i++) { - sign(privateKey, publicKey, pubInput, message, sizeof(message), signature, transform, &lowmcparams); - } - cycles_end = cpucycles(); - - sprintf(label, "Time for [%s-%s] sign()", nameOfConfig, TRANSFORM_STRING(transform)); - bench_print(label, (cycles_end - cycles_begin), NUM_ITER); /* The 3rd param is the number of runs*/ - - cycles_begin = cpucycles(); - for (int i = 0; i < NUM_ITER; i++) { - verify(signature, publicKey, pubInput, message, - sizeof(message), transform, &lowmcparams); - } - cycles_end = cpucycles(); - - sprintf(label, "Time for [%s-%s] verify()", nameOfConfig, TRANSFORM_STRING(transform)); - bench_print(label, (cycles_end - cycles_begin), NUM_ITER); - - freeSignature(signature); - free(signature); - free(publicKey); - free(privateKey); - free(pubInput); - freeLookupTables(); -} - -void benchmarkPicnicAPI(char *nameOfConfig, transform_t transform, picnic_params_t params) { - picnic_publickey_t pk; - picnic_privatekey_t sk; - uint64_t cycles_begin, cycles_end; - char label[100]; - - printf("\n Picnic API benchmark: running keyGen, sign & verify for %d iterations of %d rounds each \n", - NUM_ITER, NUM_ZKB_ROUNDS); - - if (picnic_init(params, NULL, 0) != 0) { - fprintf(stdout, "Initialization failed.\n"); - fflush(stdout); - exit(-1); - } - - /* Key generation */ - cycles_begin = cpucycles(); - for (int i = 0; i < NUM_ITER; i++) { - (void) picnic_keygen(params, &pk, &sk); - } - cycles_end = cpucycles(); - - sprintf(label, "Time for [%s-%s] picnic_keygen", nameOfConfig, TRANSFORM_STRING(transform)); - bench_print(label, (cycles_end - cycles_begin), NUM_ITER); - - /* Sign */ - uint8_t message[MESSAGE_LEN]; - memset(&message, 0, sizeof(message)); - uint8_t *signature = NULL; - - size_t signature_len = picnic_signature_size(params); - signature = (uint8_t *) malloc(signature_len); - if (signature == NULL) { - printf("failed to allocate signature\n"); - exit(-1); - } - - size_t av_sig_len = 0; - cycles_begin = cpucycles(); - for (int i = 0; i < NUM_ITER; i++) { - /* Since the sign API outputs the number of signature bytes, re-set it - * to the size of the buffer every iteration */ - size_t siglen = signature_len; - - (void) picnic_sign(&sk, message, sizeof(message), signature, &siglen); - av_sig_len += siglen; - } - cycles_end = cpucycles(); - - sprintf(label, "Time for [%s-%s] picnic_sign", nameOfConfig, TRANSFORM_STRING(transform)); - bench_print(label, (cycles_end - cycles_begin), NUM_ITER); - - /* Verify */ - cycles_begin = cpucycles(); - for (int i = 0; i < NUM_ITER; i++) { - (void) picnic_verify(&pk, message, sizeof(message), signature, - signature_len); - } - cycles_end = cpucycles(); - - sprintf(label, "Time for [%s-%s] picnic_verify", nameOfConfig, TRANSFORM_STRING(transform)); - bench_print(label, (cycles_end - cycles_begin), NUM_ITER); - - if (transform == TRANSFORM_UR) { - printf(" Signature size (exact): %u bytes\n", (unsigned int) (av_sig_len / NUM_ITER)); - } else if (transform == TRANSFORM_FS) { - unsigned int av = ((unsigned int) (av_sig_len / NUM_ITER)) + ((av_sig_len % NUM_ITER) != 0); - printf(" Signature size (average): %u bytes\n", av); - } - - printf("\n"); - - free(signature); - picnic_shutdown(0); -} - -void parseOptions(int argc, char **argv, transform_t *transform) { - for (int i = 1; i < argc; i++) { - if (strcmp("-u", argv[i]) == 0) { - *transform = TRANSFORM_UR; - } - } -} - -int serializationTest(transform_t transform, picnic_params_t params) { - int ret = -1; - lowmcparams_t lowmcparams = {0}; - signature_t signature; - signature_t signature2; - uint32_t *privateKey = NULL; - uint32_t *pubInput = NULL; - - if (picnicParamsToLowMCParams(params, &lowmcparams) != EXIT_SUCCESS) { - return -1; - } - - uint32_t *publicKey = (uint32_t *) malloc(lowmcparams.stateSizeWords * sizeof(uint32_t)); - uint8_t message[MESSAGE_LEN]; - memset(&message, 0, sizeof(message)); - - if (readLookupTables(&lowmcparams, NULL) != 0) { - fprintf(stdout, "Initialization failed (reading look-up tables).\n"); - ret = -1; - goto Exit; - } - /* Generate key pair */ - privateKey = calloc(lowmcparams.stateSizeWords, sizeof(uint32_t)); - pubInput = calloc(lowmcparams.stateSizeWords, sizeof(uint32_t)); - - LowMCEnc(pubInput, publicKey, privateKey, &lowmcparams); - - /* Create a signature to serialize */ - allocateSignature(&signature, &lowmcparams); - allocateSignature(&signature2, &lowmcparams); - sign(privateKey, publicKey, pubInput, message, sizeof(message), &signature, transform, &lowmcparams); - - uint8_t sigBytes[PICNIC_MAX_SIGNATURE_SIZE]; - memset(sigBytes, 0, sizeof(sigBytes)); - ret = serializeSignature(&signature, sigBytes, sizeof(sigBytes), transform, &lowmcparams); - if (ret == -1) { - fprintf(stderr, "Failed to serialize signature\n"); - ret = -1; - goto Exit; - } - - ret = deserializeSignature(&signature2, sigBytes, sizeof(sigBytes), transform, &lowmcparams); - if (ret != EXIT_SUCCESS) { - fprintf(stderr, "Failed to deserialize signature\n"); - ret = -1; - goto Exit; - } - - uint8_t sigBytes2[sizeof(sigBytes)]; - memset(sigBytes2, 0, sizeof(sigBytes2)); - ret = serializeSignature(&signature2, sigBytes2, sizeof(sigBytes2), transform, &lowmcparams); - if (ret == -1) { - fprintf(stderr, "Failed to serialize signature 2\n"); - ret = -1; - goto Exit; - } - - if (memcmp(sigBytes, sigBytes2, sizeof(sigBytes2)) != 0) { - fprintf(stderr, "Serialization roundtrip failed\n"); - ret = -1; - goto Exit; - } - - ret = verify(&signature2, publicKey, pubInput, message, sizeof(message), transform, &lowmcparams); - if (ret != EXIT_SUCCESS) { - fprintf(stderr, "Failed to verify deserialized signature\n"); - ret = -1; - goto Exit; - } - - ret = 0; /* Success */ - -Exit: - freeSignature(&signature); - freeSignature(&signature2); - free(publicKey); - free(privateKey); - free(pubInput); - freeLookupTables(); - - return ret; -} - -void runBenchmarks(picnic_params_t params, transform_t transform) { - - printf("\nBenchmarking Picnic with %s\n", picnic_get_param_name(params)); - - if (serializationTest(transform, params) != 0) { - printf("Failed serialization test\n"); - exit(-1); - } - - /* Benchmark Picnic by calling the sign/verify functions directly (as - * opposed to using the public API) */ - benchmarkPicnicDirect("LowMC", transform, params); - - /* Benchmark functions in the public API */ - benchmarkPicnicAPI("LowMC", transform, params); -} - -int main(int argc, char **argv) { - transform_t transform = TRANSFORM_FS; - - parseOptions(argc, argv, &transform); - - printf("Running benchmarks\n"); - - // benchmark the given transform with each of the 3 supported LowMC parameter sets - picnic_params_t params; - params = (transform == TRANSFORM_UR) ? LowMC_256_256_42_14_UR : LowMC_256_256_42_14_FS; - runBenchmarks(params, transform); - - params = (transform == TRANSFORM_UR) ? LowMC_256_256_1_316_UR : LowMC_256_256_1_316_FS; - runBenchmarks(params, transform); - - params = (transform == TRANSFORM_UR) ? LowMC_256_256_10_38_UR : LowMC_256_256_10_38_FS; - runBenchmarks(params, transform); -} diff --git a/src/sig_picnic_msr/example.c b/src/sig_picnic_msr/example.c deleted file mode 100644 index 608f0e166..000000000 --- a/src/sig_picnic_msr/example.c +++ /dev/null @@ -1,152 +0,0 @@ -/*! @file example.c - * @brief This is an example program to demonstrate how to use the - * signature API. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - */ - -#include "LowMC.h" -#include "picnic.h" -#include -#include - -#define MSG_LEN 500 - -int picnicExample(picnic_params_t parameters) { - picnic_publickey_t pk; - picnic_privatekey_t sk; - - printf("Picnic example with parameter set: %s\n", picnic_get_param_name(parameters)); - - fprintf(stdout, "Initializing library... "); - fflush(stdout); - if (picnic_init(parameters, NULL, 0) != 0) { - fprintf(stdout, "Initialization failed.\n"); - fflush(stdout); - exit(-1); - } - printf("done\n"); - - fprintf(stdout, "Generating key... "); - fflush(stdout); - int ret = picnic_keygen(parameters, &pk, &sk); - - if (ret != 0) { - printf("picnic_keygen failed\n"); - exit(-1); - } - printf(" success\n"); - - uint8_t message[MSG_LEN]; - memset(message, 0x01, sizeof(message)); - uint8_t *signature = NULL; - - size_t signature_len = picnic_signature_size(parameters); - signature = (uint8_t *) malloc(signature_len); - if (signature == NULL) { - printf("failed to allocate signature\n"); - exit(-1); - } - - fprintf(stdout, "Signing a %d byte message... ", MSG_LEN); - fflush(stdout); - - ret = picnic_sign(&sk, message, sizeof(message), signature, &signature_len); - if (ret != 0) { - printf("picnic_sign failed\n"); - exit(-1); - } - printf(" success\n"); - - /* signature_len has the exact number of bytes used */ - if (signature_len < picnic_signature_size(parameters)) { - uint8_t *newsig = realloc(signature, signature_len); - if (newsig == NULL) { - printf("failed to re-size signature\n"); - /* Not an error, we can continue with signature */ - } else { - signature = newsig; - } - } - - fprintf(stdout, "Verifying signature... "); - fflush(stdout); - - ret = picnic_verify(&pk, message, sizeof(message), signature, signature_len); - if (ret != 0) { - printf("picnic_verify failed\n"); - exit(-1); - } - printf(" success\n"); - - printf("Testing public key serialization... "); - uint8_t pk_buf[PICNIC_MAX_PUBLICKEY_SIZE + 1]; - ret = picnic_write_public_key(&pk, pk_buf, sizeof(pk_buf)); - if (ret <= 0) { - printf("Failed to serialize public key\n"); - exit(-1); - } - - memset(&pk, 0x00, sizeof(picnic_publickey_t)); - - ret = picnic_read_public_key(&pk, pk_buf, sizeof(pk_buf)); - if (ret != 0) { - printf("Failed to read public key\n"); - exit(-1); - } - - ret = picnic_verify(&pk, message, sizeof(message), signature, signature_len); - if (ret != 0) { - printf("picnic_verify failedi after de-serializing public key\n"); - exit(-1); - } - printf(" success\n"); - - printf("Testing private key serialization... "); - uint8_t sk_buf[PICNIC_MAX_PRIVATEKEY_SIZE + 1]; - ret = picnic_write_private_key(&sk, sk_buf, sizeof(sk_buf)); - if (ret <= 0) { - printf("Failed to write private key\n"); - exit(-1); - } - - memset(&sk, 0x00, sizeof(picnic_privatekey_t)); - ret = picnic_read_private_key(&sk, sk_buf, sizeof(sk_buf), &pk); - if (ret != 0) { - printf("Failed to read private key\n"); - exit(-1); - } - - ret = picnic_validate_keypair(&sk, &pk); - if (ret != 0) { - printf("Keypair invalid after deserializing private key\n"); - exit(-1); - } - printf(" success\n"); - - fprintf(stdout, "Shutting down library... "); - fflush(stdout); - picnic_shutdown(0); - printf("done\n\n"); - - free(signature); - - return 0; -} - -int main() { - for (picnic_params_t params = 1; params < PARAMETER_SET_MAX_INDEX; params++) { - picnicExample(params); - } -} diff --git a/src/sig_picnic_msr/matrices_256_10_38.h b/src/sig_picnic_msr/matrices_256_10_38.h deleted file mode 100644 index c476a4378..000000000 --- a/src/sig_picnic_msr/matrices_256_10_38.h +++ /dev/null @@ -1,78 +0,0 @@ -uint32_t linearMatrices_256_10_38[38][256][8] = {{{0xc529c37b, 0x220abcbf, 0xbc9b6a25, 0xc104a275, 0xb04ceb9, 0x406e480a, 0x735e0eb3, 0x196a0d2}, {0x616a0696, 0x5da8231c, 0xd82a2236, 0xd47e668e, 0x64f2b778, 0xf131310a, 0x28ffa12b, 0x604222b7}, {0xbaa57cac, 0xfdc4a823, 0xd1b2e527, 0x75dd13ce, 0xfba9b9ac, 0xba65497, 0xc701c2fc, 0x4c4a0796}, {0x27b7440d, 0x1a1b9eb5, 0xa5949af4, 0x67dfb9ef, 0x8121c0e1, 0xeea6caff, 0x26f88a85, 0x952cb089}, {0x8ee98aa, 0x6d1ed111, 0x27505b96, 0x7c39e34b, 0xc1c2171d, 0x9488fbc4, 0x504ec357, 0xc0e73083}, {0x2d2a23b6, 0xcd1cd4a9, 0x5529af37, 0xf4a47fe8, 0x1dd6694a, 0xca1766d9, 0xe5725864, 0xceaced2f}, {0x983650e0, 0xd16d81e4, 0x13590149, 0x759aff9d, 0x917bce55, 0x6cedd63d, 0x3395040e, 0x43796387}, {0xf9bea19d, 0x8f9aad4a, 0xd06ffba0, 0x2cc764d8, 0x6f440e63, 0x8016a43c, 0xbbc535ce, 0x7318680}, {0xebb7915c, 0x6451ef6f, 0x942897cd, 0x437a6f04, 0x4740ee9e, 0xc50a923a, 0xdb0e958b, 0x32bb2c76}, {0xa21a9846, 0xb8b49b38, 0xda9a3210, 0x80cc882f, 0x5925ea26, 0x3d9565b4, 0xdba28c96, 0xb949c380}, {0xc07169a8, 0xdc15cfe5, 0x17ef4266, 0xe4b6e9b3, 0xfe931880, 0x3b073649, 0x8ee6918f, 0x46e786f8}, {0x7beaf210, 0xcf2d6004, 0xa31fab40, 0xaf6120cb, 0xc705de0, 0x60cc0523, 0x4dd8958a, 0x3e1c7315}, {0xf0986394, 0x7ec5dc8c, 0x20748be1, 0x558b087e, 0xdee77aed, 0x5f0c6baa, 0x1c22d1f7, 0x61b4f0f4}, {0xc388dd8d, 0x73de4dba, 0x965e0238, 0xeee5dd64, 0x6e3b2cfc, 0xde317b60, 0xd092c81, 0x8a8d288e}, {0xd3712501, 0x1dab4231, 0xbbcf2d5a, 0xeac36fb, 0xc54acc92, 0xb70dc6fe, 0xf6a871a8, 0x43940d5c}, {0x140639c5, 0x26246fc7, 0xec35c57b, 0x6cf34301, 0xcd07db4e, 0xa7c0dfec, 0x41ec2d2a, 0x8728e36d}, {0x1211b641, 0x277ea875, 0x8c896d3e, 0x4bb71ecb, 0x365ce6c0, 0x8a7483ed, 0x95bf04ce, 0xd0ff44a8}, {0x3634328e, 0xec6af046, 0x46339e9e, 0x4167781a, 0xc656bb08, 0xf34c94eb, 0xedae3fcb, 0x15a5e568}, {0xcaf2b0a3, 0x5b809bae, 0xae4c3e3d, 0x71fbfa3a, 0x73cc212e, 0xb80856c2, 0x7d2b4f92, 0xda70fdd5}, {0x2ed94550, 0x86aec29b, 0x5451a682, 0x699879a9, 0x77b90f47, 0xbc8e4c6, 0xc3a2ca21, 0x6d48fea7}, {0x19402b78, 0xe623a404, 0x8558e04, 0x1edc7740, 0x14fb7f63, 0xbe19c1a8, 0x27682fdb, 0xb27ce136}, {0xa7dad5c9, 0x81dd0000, 0x5f2109c2, 0x1c40f6a1, 0xfbc76389, 0x688ef857, 0x2b4dd47b, 0x98a0508f}, {0x2e191cc3, 0x222b5d58, 0xbc30006c, 0xb00b1d33, 0x474b0afe, 0xab96ecdb, 0xc4125b71, 0x71f81a76}, {0x353964e5, 0xab880afe, 0x1f0d4cff, 0xb14215fa, 0x79ebfe66, 0x8ac4bc2b, 0x8d42884f, 0xc8856f1e}, {0x5216981, 0x4073a043, 0xef872531, 0xb9e72e4, 0x5fcda6d5, 0xcf2576e9, 0x73157aed, 0xfcae8b14}, {0x412ee137, 0xed9dc012, 0xae32e11c, 0x82d903cf, 0xd30f3651, 0x7a13811, 0xaf3ac6ac, 0x9cb09b24}, {0x46924862, 0x78e0a24b, 0xbed8c116, 0xa78cbaea, 0x85eb2e70, 0x508cbd39, 0xa7142efc, 0x19499155}, {0x25c79189, 0xdc2f77b1, 0xd25c9ef8, 0x74c5a3b6, 0x106034e0, 0xc18c7a2a, 0xe6117ebd, 0x95139928}, {0x7b2865ca, 0xe6c02168, 0x46a8bb71, 0x41ec1fc9, 0x4624f598, 0xfa51e8b7, 0xa2a57246, 0xf42a4651}, {0x304b3478, 0x21b84fde, 0xb95e249, 0x539a9831, 0x24c018df, 0x74ace721, 0xa02f88c2, 0xe72fd3f1}, {0xf4d18b67, 0x68e569b2, 0x99636016, 0xda273889, 0x64c1c8a2, 0x6f027eea, 0xc7e5f706, 0x61ae079c}, {0x5948e75d, 0x38ec951b, 0x257ec47e, 0x69f43962, 0xdd7432d5, 0x782c0410, 0x8202d494, 0x509224f9}, {0xab518f38, 0x1c517764, 0x14311c4d, 0x2e24457d, 0x11b9dbd8, 0x260cdd3e, 0x2f071f9d, 0xe0a58495}, {0x9573605, 0xacafcf0, 0xec68f6f0, 0xf0aa3ece, 0x9d2ead3e, 0x1e7cbc22, 0x8b204ab6, 0x2aacbb00}, {0xb0df1c09, 0x1ef2e39d, 0x3bb65edd, 0x6676f72, 0x7844a7c6, 0x8b273eb6, 0x85f53312, 0x7db2bc14}, {0x6692191a, 0x17da253b, 0x43f1790a, 0xf42a891f, 0xf052ca00, 0x45192357, 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0xac2f1413, 0x5b7f901, 0x7b2dbf48, 0xcbfca99e, 0xbc2086cd, 0xf7b0a672}, {0x7329571f, 0x574ca9f7, 0xaeb723b2, 0x18cdc716, 0x3de112d4, 0x48d9db44, 0x71d61fd4, 0x6c352b16}, {0x3a080523, 0x7f236512, 0x6d32709b, 0x48e8a907, 0xb5f42cfb, 0x22b666a2, 0xc39a482, 0xc687fa6c}, {0x17198d3f, 0xe0116222, 0xfb78fdda, 0xcdef3625, 0x4e31fcc5, 0xcfb6f9fc, 0xb4406c2e, 0xd99cfcb6}, {0x519826a2, 0x243595ab, 0x9cf035f3, 0xfb74f414, 0x2e3cc161, 0xc86d8675, 0x8b798d00, 0xcce46952}, {0x54b1fca6, 0xcc70a330, 0xe84d5983, 0x88fbae21, 0xa867a37c, 0x694cec4c, 0x72c73f34, 0x69250e0e}, {0x28621a40, 0xe3121fc3, 0x128e1163, 0x6cb9665f, 0x829bcbc2, 0x92549d86, 0xfee68db5, 0xa4829690}, {0xd5185c99, 0xaf7e43b0, 0xef3d01fc, 0xee17988e, 0xbc236058, 0xed696620, 0x42c1ae7a, 0xd7c5ddd3}, {0xd28f130d, 0x831a1008, 0x68176e1a, 0x3d412d0e, 0xbfd5c274, 0xbe8bd6cc, 0x652dffba, 0x1225865a}, {0x9209ae84, 0xf3a7599f, 0x8d73597b, 0x60326bb, 0x2c1532ba, 0xd85e9450, 0x539de4a6, 0x46c26022}, {0x1e03aec5, 0xc1a18c72, 0xeed74f46, 0xcfc30e46, 0xb8b8866e, 0x702f2d2c, 0xd41162ab, 0x5eadff49}, {0x83baab81, 0x6364914c, 0x2e191ad, 0x1c3b7762, 0x559024c0, 0x3eeee5a1, 0xf1be8563, 0xd2ef8079}, {0xeb76728f, 0x73e93bd, 0x40741228, 0x77d9f810, 0xe4c13266, 0x16ebe56a, 0xc55ffd39, 0xdcafa7e1}, {0x8e5b9c83, 0xdcd010b3, 0x7d93fbbe, 0xf615296, 0xfe79bf66, 0x20012d13, 0xe4551967, 0xef59d2e5}, {0x61225506, 0x4b0a72df, 0xd88e1fc1, 0xc87d9dd9, 0x139e4d11, 0xe4893c49, 0xb2ed67a7, 0xa8d92ba1}, {0x1c634783, 0x942edbff, 0x2f8cda74, 0x27110a11, 0x77bc01ba, 0xe0020e5c, 0x9e0e095, 0xd43ed3a}, {0x3abe33a0, 0xa14f61f3, 0xf74ba0fd, 0xd8e1a054, 0x8ec7ca4d, 0xc2c4d991, 0x8eba91ee, 0xd7f897b4}, {0xcc0a8f60, 0xbe98e04c, 0x9b04e5d3, 0x1f059114, 0xcb87a93c, 0x7451d08a, 0xe05c74b0, 0x794aac7}, {0xd96841fa, 0x489cf79e, 0x6b83a842, 0xbb2e4dfc, 0x623a9931, 0x6f28490d, 0xedd847d5, 0x4cbdf118}, {0x72b74a34, 0x13182384, 0xa251c06d, 0x87ffc786, 0x7feaf781, 0x4d5399f9, 0x29fd4d43, 0x9ba8a22a}, {0x5e45fe1e, 0xe5186a8f, 0x310840e5, 0xe0a58577, 0xc566da48, 0x1ad7dd7e, 0x548e6b66, 0xf1a3ce00}, {0xa2fb9ced, 0x5162dc10, 0x1b3e44e7, 0x45bcb4a9, 0x49fe1332, 0xb9c9f617, 0xe9479b5c, 0x51a7a0b7}, {0x1b39db04, 0xf3a5297f, 0x5d822a8f, 0xfc036cd3, 0xd9f1126e, 0x78b0ec4e, 0x25748dcd, 0x9aab160a}, {0x282771e7, 0x7392d057, 0x2f6594e5, 0x20d176e5, 0xd4e100ea, 0xfe6dae7a, 0x68d93a52, 0x50d79921}, {0x6c1560c5, 0xf947dbf9, 0x512478f8, 0x885a8fe, 0x234d6bbe, 0xba41471b, 0x22ad7720, 0x51512132}, {0x94a1eead, 0x93acfa58, 0xc267b7ef, 0xf97505ff, 0x60eca187, 0x6ca62b73, 0x52cb528a, 0x6f592cdb}, {0xe3ceb691, 0x8c489e58, 0xaaaef002, 0xcbacfe06, 0x5753951e, 0x4f77790c, 0xc64a43cf, 0x2c0a80b0}, {0x2268f6c2, 0x398e0ee4, 0xb663ea1d, 0x85f158fb, 0xf243cd31, 0xb15e0439, 0xcfd39aa6, 0x3baa504c}, {0xc9296ec8, 0xdcbfaa70, 0x7c4d7704, 0x560d30a5, 0x341ff53d, 0xfd2083ca, 0x21cfc775, 0x636401da}, {0x1ecb2477, 0x1b1b78ee, 0xa9ec7853, 0x1c401cd3, 0x5fdb43ee, 0x43730348, 0xca0cee39, 0x76905925}, {0x1a3380d3, 0xc2557072, 0xd34d4856, 0x9f6d0b42, 0xe390044b, 0x9695a3c0, 0x6d8c3f55, 0x2e32ff20}, {0x4ead895b, 0x35448a32, 0x75dd8390, 0x41339658, 0x95386c92, 0x2fb5148a, 0xf63654, 0x45d071ac}, {0x25565151, 0x1d7d58ca, 0x6f3a6000, 0x3a42e983, 0x9f06eda7, 0x4f56e57a, 0x1aa48502, 0xead62c43}, {0x4583597a, 0x65545ab5, 0x2ae3b65b, 0xf09f11d9, 0xfbb8a1c7, 0xfaa97fd8, 0x8cd5e27f, 0xd71b7707}, {0xd4f374b4, 0x24d473bb, 0xea0f5c0, 0x27756142, 0x58ca109b, 0x9f944d08, 0xc9d9f7d2, 0x703414fb}, {0x7108812d, 0xac28ef5, 0x4f56944a, 0x3652049b, 0x44dc2c90, 0xd54330b7, 0xaabafa91, 0x50ded0c8}, {0x758ecd7c, 0xeba5b249, 0xd4bf1ecf, 0x20247f96, 0xc58c8fd3, 0x2e6e4119, 0x6b1f58bb, 0x6a6e520}, {0x238ce3b7, 0x3ce3474f, 0x2652d7bc, 0x9fb9c327, 0x6c02c18f, 0x6a2ee606, 0xbfca97bc, 0x2a687082}, {0x4a4c9827, 0xb20dbf5e, 0x8cfa9081, 0x88c71cba, 0x65ad4ed3, 0xdc3cc1a4, 0x15790626, 0xb0122510}, {0xf2baf329, 0xf8c916d5, 0x59dddea4, 0xbbe1a3f6, 0x1ddb1f6b, 0x3ba519b8, 0xe1b80a84, 0xf66266c0}, {0xe972e61f, 0xe226d97c, 0x20e9f9f0, 0x811abc58, 0x510bb54d, 0x162d9d1, 0x505a416f, 0xc0bb5742}, {0xef670992, 0x2a46cad8, 0x6c461fee, 0x7788f796, 0x21a87c9, 0x86ab3bfc, 0x3bc5cea5, 0xa418cc1}, {0xf5a8fafa, 0xed8d5bff, 0xda0bfd3e, 0x1da0f3d6, 0x8fe6fafc, 0x9c806715, 0x5a72b2c4, 0x8098724b}, {0x4963362c, 0x6df89b63, 0xdb85b776, 0xaecdaa80, 0xc937b38a, 0xb9701264, 0xb61c1fd9, 0x70bba92}, {0x7cec0d6f, 0x87d9a107, 0x52f9bd29, 0x60a05a9f, 0x4337e235, 0x8729486e, 0x86012341, 0xdca8d066}, {0x13974bb5, 0x925dd94b, 0x2ce3408d, 0x133bb1ff, 0xe3d03d3d, 0x782a92d7, 0xe964d87a, 0x61a9d2c8}, {0xa9de39af, 0x2452c603, 0x99773a8e, 0xf16bb65c, 0x9e4769e7, 0xfb6d4e46, 0xa5c80c3f, 0xb9d6c0c}, {0xcf7331f2, 0xf99f42b3, 0xf15e9067, 0xd81cba0a, 0xc9c349d4, 0xb5d44a04, 0x99a5a660, 0x256b8927}, {0xcb57b83a, 0xf24adfe4, 0x8bb39352, 0xf7fd52ce, 0x72a7cabf, 0x3f8753a6, 0x5135a27c, 0xfa808a4a}, {0x4a3d85a9, 0x4b4fc48a, 0xc2e64d7a, 0xb5fe625e, 0xb49ac230, 0x90c64f3, 0x757a1114, 0xa3956bbc}, {0x276b3d40, 0x837e3426, 0x51e588e8, 0xc57e9957, 0x3c530b5f, 0x6c4a4a6, 0x96f5f3e4, 0xdd6518fb}, {0x5bb32efb, 0xfba5c55c, 0x1a8088cc, 0xb8c5c588, 0x8b5529c5, 0xd6b8930f, 0x9efb6d9b, 0x88222e0}, {0xf3b1ce10, 0x5fdca421, 0x6a3ac1fc, 0xc35ae045, 0x510c44a1, 0xc10bfa30, 0xdafabfa9, 0x93194773}, {0xfe8dc3b8, 0x7df9a7d5, 0xb9617f9a, 0x709f1fac, 0xfe4ed416, 0x8c3234a4, 0x7f786263, 0x86004b33}, {0x718a0968, 0x6955d2e0, 0x129800ee, 0x2337d803, 0x227747f3, 0x15d6a001, 0x4a09335b, 0x750afe90}, {0xe6031f00, 0x7a77ea7c, 0x1ffb0f34, 0x390a634f, 0xa7180d, 0x23413062, 0x5c03c6b0, 0x654450df}, {0x455f2b37, 0x9e89e1ae, 0x1e650810, 0x46d186b5, 0x97972e22, 0x9822fec0, 0xa16b1685, 0xc361612}, {0x2858c742, 0x7335acd2, 0x111612cd, 0xb8cfacf3, 0x86e6552, 0x50f28d19, 0x1c38bd9, 0xad023a6c}, {0x639e152a, 0xb7e8535a, 0x6d826ea0, 0x14a5bfd, 0x35ada3fd, 0x7c9fc7be, 0x70408807, 0xbcaeee62}, {0xd4e3f956, 0x6168d476, 0x7c82d3aa, 0x5bfdfbbc, 0x3d101572, 0x3c6940cc, 0x65536a91, 0x48c174ac}, {0x4285ae06, 0x8ccafb44, 0xc8ace2de, 0x4ca49157, 0xde3ec178, 0x308c999a, 0xa53fd62e, 0x1e7bc1bb}, {0x7e1728aa, 0xb9a0d140, 0x58fd80aa, 0x11ada94a, 0x975d3b8d, 0x81389392, 0xc7de2599, 0x813b42fa}, {0xf77cd3bc, 0xaeccbb41, 0x707644fc, 0x29a1471, 0x5086451, 0x7b71e350, 0x969a9043, 0xf05933a8}, {0xb963dc9, 0x66502e72, 0x4956137c, 0xe51b73d0, 0x11c1ad49, 0x62e97a5d, 0x39de4b98, 0x5ac35f3d}, {0xc6b25b20, 0xb9b1e8f4, 0x65dc19ff, 0x15deaaa5, 0xc3eb12b9, 0x42747027, 0x2fab1c0, 0x76d0c05b}, {0xbd0ff7f0, 0xc33662d4, 0xc44d73e4, 0x4e6ed04b, 0x6e61b643, 0xe65eb9d3, 0x2fa6c087, 0x291daf74}, {0x4abef8ac, 0x417a11b0, 0xfb375732, 0xe7d1418e, 0x1dd9d2e4, 0x6bfe241, 0xc4e73ed5, 0xd76a48d7}, {0x4369ec9, 0xc1bb0729, 0x9523679a, 0x9a535840, 0xf07ede8d, 0x6f522371, 0x72f4041b, 0xe84aa4e0}, {0xcdea381e, 0xce294eef, 0x6b0771eb, 0x61004a0e, 0xf3bb96b6, 0x4253fad8, 0x534e2787, 0xd969f766}, {0x730738af, 0xd7d4fe2e, 0x4fff94ef, 0x75583924, 0xc4d302da, 0xe59ee0d8, 0x16c189b4, 0x6a75f25}, {0x64f2e6a6, 0x36052069, 0xae87bb2a, 0xf80c4b8e, 0x17dd55f8, 0xbe848919, 0x40a50559, 0x66810d7d}, {0xe18b438a, 0x41e416fa, 0xc346b5a8, 0xf1b1a968, 0xb8f6b93f, 0x38b80ca2, 0xc03a9dfe, 0x335fcbcc}, {0x30064077, 0x9250f111, 0xff5642b9, 0x4daf35c8, 0x8ae61e97, 0x820461f7, 0x488875c6, 0xaa820cdd}, {0xc59a930, 0xd63b0d65, 0xe628eb43, 0xacca9cd9, 0xe82b1060, 0x11b42bec, 0x7768405c, 0x2d06e38c}, {0x911b8ef0, 0x11fbc46e, 0x8ab6e498, 0x7127f604, 0x76a2eb20, 0x88adeed1, 0x98232679, 0xb34e21e5}, {0x9ddc8bd4, 0xdc3e1b17, 0x452a373d, 0xd631277c, 0xcd367a5e, 0x3ae087e2, 0x50360316, 0x56d5718}, {0xcd01eb14, 0x72971335, 0x19c308d8, 0x3c8ea3e9, 0xd3a9ced1, 0x62bfa022, 0x19f04fb, 0xd7a922e2}, {0xaccbfa92, 0x1e65453c, 0x6c1e9dac, 0x9f9f9188, 0x16a50916, 0xe079d159, 0xfb2722b9, 0x4d65683b}, {0x357d7f52, 0x7912d75e, 0x25097f58, 0xfb261a8b, 0x645491fd, 0x4956f075, 0xe6873cc, 0x5499b9c3}, {0x313aaa50, 0x92fc8d95, 0x64e087f3, 0x6d9f340f, 0xbff499ae, 0xa8f84fed, 0xbdd71b0f, 0x2ece63c9}, {0xc6649dc4, 0x483d0020, 0xd6ed878, 0xbce1a84d, 0xd9e62283, 0x90e1d072, 0xead37e1f, 0x51e5ebf4}, {0xdd5f4437, 0xe452efca, 0xc1f73a97, 0xa5b5e1eb, 0xe4b53e66, 0xfe900b32, 0x9541912f, 0x1da4c093}, {0x3b0b0c0b, 0xe8d1d86e, 0x5c3081a4, 0x75661ec9, 0xf67a8478, 0x581d9e8f, 0xdcb1e27e, 0xbf14d452}, {0x62365acc, 0x840fb23e, 0xdb1a5a01, 0x1a1f453a, 0x62267c09, 0x7a7fca63, 0x12bc07bd, 0x6477a491}, {0xa684f3a8, 0xc3fc3c5d, 0xb60e94d7, 0x806227bd, 0x6d523381, 0x49a68c9a, 0x74e3fa41, 0x599b038e}, {0x75aedb43, 0x6d8f50d5, 0xe08ce65d, 0x1be733c7, 0x84a16ae5, 0x428325c8, 0x1468ded1, 0x45169575}, {0x1422c9ae, 0x8623095a, 0xc3c46b80, 0x38044e26, 0x578c89f2, 0x1f5983a2, 0xe63477df, 0xb93d73fc}, {0xeb0de0e4, 0xe92c534c, 0x8f9ad8a5, 0xa37baaa6, 0xdf6e2392, 0x2d575f7f, 0x713bf48d, 0xa6da8ab2}, {0x5563f7fe, 0xf0bc1917, 0xa35b7caf, 0x25922179, 0xda15087e, 0xe19ae3ce, 0x9b90042e, 0x4664e386}, {0xafe618c0, 0x38085f04, 0xbefced54, 0x53cb7993, 0xa650dc35, 0x2fdc1199, 0x2291394e, 0xabdfa73f}, {0x7efdb994, 0xaec652a3, 0xcaecbc09, 0xf5cf6b5a, 0x9b357a83, 0xb51e44c2, 0x29b7ed93, 0x3683e3}, {0x1454e260, 0x164e07bb, 0xe48b6d80, 0xd0d94be2, 0xc2a69e84, 0x5d5c9b6c, 0xa12a87e5, 0xdc50bd0c}, {0xfdee890b, 0x1c9630e2, 0xe03d465f, 0x4bb64987, 0x214a1917, 0xe7ae165e, 0x490d8835, 0xe7ea238a}, {0xff50db96, 0x881413fe, 0x8d053a54, 0xd3de2fe1, 0x24c4ac25, 0xcc1ff4c8, 0xd745d3a6, 0xb260ee61}, {0xbee6e0f4, 0x1f321e7d, 0x57a1bd83, 0x1191ad10, 0xbbc61da5, 0xe5512c19, 0xf6a021c7, 0x2dd56341}, {0x38ee715b, 0x823fefd7, 0xf3b58c69, 0xb0306dce, 0x98e7347, 0xe247e836, 0x9b814abb, 0x55c67d0c}, {0x5578ea5e, 0x235c4802, 0xfd233b4d, 0x53a053bc, 0xdf99461a, 0x4ff1acb5, 0xb4741e9f, 0xc26197dd}, {0x668f6368, 0x27361931, 0x347cc1d0, 0xaa0e3902, 0xc7ffbb8, 0x489c1109, 0xfde74575, 0x414007f6}, {0x6daa93dd, 0x81b5491e, 0xe7a09a6f, 0x2e971a51, 0x98fcd70, 0x9a494c1f, 0xfc74541, 0x754c21df}, {0x16d9e0b2, 0x2d611327, 0xcf7331d8, 0x3e36f4d, 0x7fa3c11b, 0x44513d7a, 0x1c2ee1e5, 0xbb9fad71}}}; -uint32_t roundConstants256_10_38[38][8] = {{0xcda3f89c, 0xdc0559d8, 0xe56737e, 0x9744fe8c, 0x63754af9, 0x7b7f78dc, 0x9908a8e9, 0xea79a1d}, {0x16e97f02, 0x4ae7023d, 0x290bd60d, 0xee2e5094, 0xd2a70b64, 0xce6400df, 0xeefc1e67, 0x497be56}, {0x565d0009, 0x3f1ecbc9, 0x52c89d5, 0xbe41da29, 0x41b32906, 0x2630975d, 0x78b0d718, 0xb297e8e9}, {0x409872c1, 0x6f46d466, 0x974a58d5, 0xc240fb47, 0x7d808f26, 0x65b386d5, 0x885a234c, 0xf38c67a7}, {0x30470a32, 0x1765d105, 0x466071b, 0xddb51e19, 0x335a81f7, 0xf26ca4cb, 0xbd2f533e, 0x1d8ee4eb}, {0x70d8a84b, 0x623d4873, 0x8b27a725, 0x8e9c832f, 0x96a5d89b, 0xd59b3eb9, 0x9acbac40, 0x3998d77d}, {0xaee622cb, 0x2db756db, 0xc0918c9e, 0x81bc3d98, 0x416372d0, 0x6bdf84dd, 0x6aba86e8, 0x88bb1b1e}, {0x860877d3, 0x3a3e964e, 0x61a18d2, 0x924ebdfb, 0xb9fd8dc3, 0xfa8c2c3a, 0xc47f34b8, 0xd1218ae8}, {0x47211400, 0xd1a20f74, 0xf5e7a44a, 0xa702d40b, 0xa8d00fca, 0x82e497d, 0x8b33d158, 0xacc3de40}, {0xaa59d79, 0x9a941b2d, 0x2fed26e1, 0xd6930715, 0x1eab5f17, 0x5a65b906, 0xb5bfe3f7, 0x5d215b79}, {0x70f54f77, 0xb16403d8, 0x819f258f, 0x9cabb13, 0xd0c447f1, 0xedf94a01, 0x96801e85, 0x44079d5b}, {0x17c87612, 0x43af72f9, 0x9f0422b3, 0x7c65f53c, 0xd03debef, 0x69ecec9f, 0x11b0d28, 0x82f5547f}, {0x728f75fc, 0x303fa803, 0xf1bf33b4, 0xbccc8199, 0x42d20105, 0x26404a2b, 0x72757e51, 0x153a7997}, {0x13ee4041, 0x3a5b66ca, 0x199898d9, 0x63471431, 0xb9fdbffc, 0x12c42733, 0xe68735cd, 0x1930528}, {0x2b5ce860, 0x2390ea7f, 0x96ac69a8, 0xdb4cfbde, 0x80770f93, 0xe65d2a17, 0xc70cc0fe, 0x33d03ee1}, {0x95c934b0, 0x59520c50, 0x1e677ee2, 0x290a470c, 0x2ef7d8d4, 0x4416665f, 0xd2be20d3, 0xee27e921}, {0xb1e8b981, 0xd4072353, 0x64c12bd1, 0x7089162d, 0x32e13941, 0x6467d04b, 0xc63e508c, 0x3779ddbd}, {0xc29140a9, 0x7abb9247, 0xca3ca4b8, 0x5bef934, 0xb0aad79c, 0xf342889d, 0x8d4a9f7b, 0xf15dbccb}, {0x49d74a8d, 0x779f167, 0x5d6d7788, 0x522e83ee, 0x5274501e, 0xfb8caa00, 0xf6fb11c3, 0xb1fde127}, {0xc6eb29b6, 0x44ff72c6, 0xdf76279e, 0xc24b3ca7, 0x58b47b5e, 0x609ffb44, 0x68bbe3ba, 0x9cfd9e03}, {0x81c37628, 0x8df0557a, 0x3a996071, 0x3eb0d095, 0xc750c6cc, 0xd5eeff90, 0x821bb0c0, 0xaa7b3879}, {0xf3893f57, 0x1e5b6933, 0xb7c6c63f, 0x4e34813, 0x88047057, 0x9ef05d5a, 0xe24e26f, 0xb458bb14}, {0x2936787d, 0x95196542, 0x93e7db4f, 0x5edd7664, 0xe2e2f633, 0x26bc003f, 0x44ebacef, 0xf173b080}, {0xd7cbbcee, 0x8df110fd, 0xcefc6958, 0xbf788bbb, 0x3f276433, 0x977eb7c0, 0x2929cd54, 0x90df9f16}, {0x30ae955b, 0x34521b7a, 0x7bdb6e26, 0xf50dbe0b, 0x67be0ce9, 0x53087220, 0xfbe6c095, 0xe9075c58}, {0x7a8c4c46, 0xe00f0b48, 0xc4092b17, 0x1761a15d, 0x6456e879, 0xee6efb25, 0xd6a62d9f, 0x87d70788}, {0x7e763db, 0x73f29f0b, 0x985385b7, 0x8db2f750, 0xe1b36439, 0x2432fcef, 0x1645bdf7, 0xc4875d62}, {0x190a5de6, 0x19277c17, 0x8e282466, 0x805e5a8a, 0xd431af40, 0xd8b90f03, 0xdb83be5d, 0x35da1b9c}, {0x6570f2af, 0x530c28ec, 0x8c681588, 0x76d7916a, 0xf21a8539, 0x46ac17ba, 0x5314ffcd, 0xfd53aca0}, {0x74388cc1, 0x746f0f7, 0x687bdffc, 0x4b3830ae, 0xb2e9724, 0x13083d9d, 0xb1e40393, 0x5115d6f7}, {0xbc1d940a, 0x8d6c5d4c, 0x2a408186, 0x92366401, 0xaeaedecc, 0xceb7d86f, 0x288d0cf3, 0xc86177af}, {0xb073bf54, 0x38bf27e1, 0x621dd03b, 0x1b4c2a44, 0xe71d6ad8, 0x47e041a8, 0xff5dfbc2, 0x620060a3}, {0x82677924, 0xde2dab00, 0x4cb39104, 0xb669a739, 0xe09c8436, 0x275a26a7, 0x5d8fb96d, 0xe8a0dff8}, {0xaaa855e, 0x72f791c5, 0xc47857c5, 0x78586266, 0xb8cbfa0, 0x9f93e248, 0xa72e53ac, 0x6e9cce0e}, {0xe3b9b110, 0x8e75b375, 0xb0b594e9, 0xe2797047, 0xd263eb67, 0xfcaa0a95, 0xd87e7b09, 0xaa634090}, {0x42341aa4, 0xac86bf2, 0x25dc0963, 0xfdf76f02, 0xc711ecd9, 0x124257d2, 0xb07f9c8d, 0x4c427e0d}, {0x1a835e3, 0xa05c007b, 0x27478a62, 0xe71cc9a6, 0xa513c16c, 0xdb22b4b3, 0x8a4fff24, 0x5bf04758}, {0x749c7f47, 0xe53c8c12, 0xaf9a8013, 0x26821f14, 0x87e2b42f, 0x6c69f085, 0xe1b5842f, 0x6785b0e9}}; -uint32_t keyMatrices_256_10_38[39][256][8] = {{{0x8ce6cd44, 0x97672fce, 0x921be62, 0xeb54cead, 0x6ee4a191, 0x98fe4f4b, 0x809d488, 0x527704de}, {0xf174755e, 0x62bd4cc, 0x8c4798e9, 0x96dba039, 0x81bb2f9c, 0x3a5f62b6, 0x2c5df09b, 0xba237402}, {0xa3d61aa3, 0xd94e6d6c, 0x334f69d2, 0xc9720d69, 0x1850039d, 0x7c5fa975, 0x1335e06a, 0x89b0ec3d}, {0x48dfe19, 0x6b688dba, 0x98e96b3d, 0x9fc5a8cc, 0x7d7e31bd, 0xaeff7ed, 0x8f201952, 0xe4779a68}, {0xc92455b5, 0x7696f546, 0x8bd47277, 0x68c7cfea, 0xe2a4c74c, 0x218445cc, 0x535d1462, 0xabc420c7}, {0xf0b59702, 0xcc95130, 0x980c52f6, 0x50f67ce6, 0x856295aa, 0x8b326f1c, 0x52703963, 0x20f4839b}, {0xe007cc0f, 0x9dc8a739, 0x19b46ddc, 0x870ff47d, 0xa0205d2c, 0x13090d9a, 0xc766d723, 0x7c31d77d}, {0x3b47b946, 0x8cacbf45, 0x90b5b092, 0x11429822, 0x6eae11fa, 0x9907e2b9, 0xb34dc707, 0xe42b89cd}, {0x254302f5, 0x6c0897b6, 0x2063074, 0xb61698fa, 0xa7000c86, 0xfb786fc5, 0x6ef37f25, 0x28031b8a}, {0xed20bb6f, 0x7c36605b, 0xe414beae, 0xe52fc610, 0xb508444e, 0xefeef534, 0x409609d4, 0x6e386ba2}, {0x55d78081, 0x45a4af80, 0x94d6e91a, 0x60780389, 0xd7ae17, 0xdd12565c, 0xc7ec15aa, 0x7f297157}, {0xc81c1d4f, 0x2c376313, 0x1502fb12, 0xb8b8e380, 0xb400b11d, 0x4f2a36e8, 0xaeeaa948, 0x964d87cf}, {0x3d4ff749, 0x572d1494, 0x322b9eb5, 0xdb5e938e, 0x619099ca, 0xa39822b4, 0x689972b, 0x5e211600}, {0x6857c574, 0x3ed0f3a, 0xa7aafbd3, 0x5a1825ba, 0x7b2b970, 0xf36f64f2, 0xcd9134c8, 0x56d38484}, {0x7383fccf, 0xa87211b5, 0x1a4fa15c, 0xe58d7e7a, 0x815605fd, 0xef0eb2db, 0x1abb4741, 0xe810f183}, {0x9071965b, 0x48743aec, 0x45e44cd0, 0xc0f3ba07, 0xd9c2cf3b, 0xb09ae214, 0x9f6bf1e, 0x73820be3}, {0x9ca8e031, 0x4e000084, 0x2ca8c057, 0xeb585cf6, 0x5bc3daa5, 0x75270a4c, 0x68d5e90b, 0xef1300cf}, {0xfd4ec914, 0x377fe4d6, 0x30c5e0b3, 0x8a855fe5, 0xfd0df45c, 0x2a056bc4, 0xa32153a6, 0xbd977184}, {0x2fafaf2f, 0x57142917, 0x936cf3b8, 0x467543cf, 0xfe73f165, 0xb52cc35a, 0x48727bfc, 0xe951f243}, {0xb40d2592, 0xc176ecc1, 0xfed2296, 0xb7235e8b, 0x92892699, 0x5b543462, 0x6e8a67b0, 0x3a4e8ae}, {0xc098f11c, 0x7e1e05ae, 0xb7c2e5bb, 0x295cc6f8, 0x25779614, 0x5427da8e, 0xd96e93d8, 0x551c3386}, {0x59e3613c, 0x9c58548e, 0x458f70b6, 0xf409e520, 0xaee7612a, 0xc391b874, 0x36041c7b, 0x5cd00c3f}, {0x80346ea9, 0x953e7551, 0xcc1b0e1e, 0x1a08c918, 0xe1697bc1, 0x77e99698, 0x96dbfbd9, 0x778c3106}, {0x44adf808, 0x12d33e88, 0xff64b230, 0xd64697de, 0x40a25ab0, 0xc2d259d8, 0x78e063ed, 0x70acfe62}, {0xca6db4c7, 0x23ae4b85, 0x296b05ff, 0x221539ca, 0xd5d60a4, 0x34e88575, 0x52b0e662, 0x61f54362}, {0x15388dcc, 0x609cd35c, 0xac0c0101, 0x516d9, 0xf040ed6a, 0xb95416b6, 0x5436fa53, 0x8c65c65c}, {0x2c88643f, 0xf82647ca, 0x9684bb8, 0x238ba07b, 0xb4a02ef5, 0xe7e5d94b, 0x925e9c64, 0x67f1c4f9}, {0x80c7b0a6, 0x93e0c562, 0xaa200312, 0x271bd5df, 0xf5ebb34c, 0xb1ebd90f, 0x68da3b96, 0x15797417}, {0x525b7c69, 0x25f999a6, 0x507db4a2, 0xfb5e57af, 0xaed5b36f, 0x56d4a660, 0xd84cd72f, 0x57bfad14}, {0x8fc5d7e0, 0xd7efcab5, 0xa6501981, 0x6e467ecc, 0x388be323, 0x4848380, 0xa5f68534, 0x5494fb34}, {0x5ecaaa25, 0x8c754ef1, 0x10727249, 0xaee94773, 0x566bc6a0, 0x9f229767, 0xd7ac49da, 0xf7883edf}, {0x9dfe1fc0, 0x76267aa7, 0xcd476726, 0xb0cc0349, 0xad473fbf, 0x1a8a578c, 0x435e7ff1, 0x20514d8f}, {0x9d9dbe65, 0x2efdb20f, 0xbf954bb6, 0x4991fba9, 0x913de72, 0x55bb8ee7, 0x4688976d, 0xc8a8de10}, {0xecf6dc08, 0xab5ec15e, 0x98d2fe47, 0xe27e5ecf, 0xf816d87e, 0xd415e65f, 0x9fbb9887, 0xb43331c1}, {0xabfa6ee6, 0xccd0ca38, 0x767a7818, 0xd7fd213f, 0xd09f5245, 0xa4693c62, 0x52de0533, 0x24ecc79e}, {0xa1143dfa, 0x2d5723e4, 0xd9bc44f1, 0x1b879295, 0x546bff0b, 0x782a1a23, 0x5c7d58cd, 0x5c408171}, {0xeceddaa0, 0x835accd5, 0xd8635ed1, 0x9ec2b9b7, 0xd19fd49a, 0xf5426593, 0x21848b57, 0xa758f794}, {0xc6fe8217, 0x3d3de92e, 0x13a82955, 0xd2f45630, 0x866e576a, 0xd922ddc7, 0x657ea48d, 0x9d993405}, {0xc9abbb09, 0x34e9e0e9, 0x4a482871, 0x16ffce12, 0x6ca34a6, 0x77d1bd0, 0x50e0b517, 0x2351e93f}, {0xbf35152c, 0x54168844, 0xc59225cf, 0x59137cf2, 0x89cd7866, 0xe4836989, 0x309178bf, 0x2e261666}, {0xb1a7d912, 0x23d95dbd, 0x9073a131, 0x4d83097b, 0x467673e9, 0x56e43fb8, 0xfb61a8c3, 0x5034e9b7}, {0xe643013d, 0x2b56bb8c, 0xa6d4ba7e, 0x3dffc95c, 0xf1e596ae, 0x73c78961, 0x95c5df7a, 0x8f7ef906}, {0x2d9ceb52, 0x1e26aca, 0xc1fd6409, 0x98ec7fdf, 0x2ca386d7, 0x988e8a0b, 0x6f1cff2f, 0x6f27946e}, {0xa7d30e86, 0x8aefddd8, 0xcfec974c, 0x3d7c6a0b, 0x46c17653, 0xaaeb3aee, 0x71a29eb9, 0x7ff73ed3}, {0x7537dd7d, 0x1fb7bce8, 0xb4538e12, 0xb5016d1b, 0xeca9a07b, 0x33e5090c, 0x38e9a9a0, 0x2b107b53}, {0x307c6993, 0xacfac497, 0xd35f82e1, 0xad6c90b2, 0x6b3f92c8, 0x6fe2856, 0x98cf1c6a, 0x85d63dc6}, {0x33aa78ef, 0xf1820459, 0x82d0a66f, 0x2ace9323, 0x5d9eb924, 0x451fa07, 0x429a49c7, 0x2e9b98ae}, {0x20cb2db4, 0xa6f4703a, 0x587e65, 0x544f9615, 0x186c80c5, 0xe9ecbdc1, 0xff86bca0, 0xd8171b6a}, {0x7a68c802, 0xa2468de8, 0x5e5476e, 0xf12217f9, 0xf8b59f38, 0xf5e7bbbc, 0xcf1ab83d, 0xd10e6f21}, {0x49725f64, 0x635dcf87, 0x9dd47535, 0xaede4042, 0xf7c8642e, 0xf3a25627, 0xfbc5693f, 0x914355d4}, {0x9862b847, 0xe39e5830, 0x66b9a552, 0xb6818fa2, 0xdc28573e, 0x77c67d6, 0xd8ad7d7a, 0x5a5b8163}, {0x895663f7, 0x7781195b, 0x90f50d74, 0xea3d5d46, 0xec620077, 0x1686d546, 0xffbde30e, 0x28e0a3bf}, {0x112a1953, 0x2a98988d, 0x2148f4cf, 0xc7fb5de2, 0xa3d3ee0a, 0x968f909, 0x33f57682, 0x1670cedb}, {0x9e3140f7, 0xb80754e3, 0xe86df971, 0xf79f4495, 0xe1d79f5a, 0xcec50499, 0x7e4d6112, 0xc13132e7}, {0x6eb76602, 0xf924764, 0x6d96bbc6, 0xd0a1f905, 0xeb662873, 0x9436e081, 0xbe844c0f, 0xfc6dd440}, {0xda3f7c3e, 0xd9b7f66c, 0x9868c179, 0x6b34a7b3, 0x121c32a0, 0xde283368, 0x7a6c96e8, 0xd4d29785}, {0x83c8f2f, 0x473d9352, 0xba863f5c, 0xb5eb04a5, 0xf4002922, 0x76d4183d, 0x16078397, 0x49835168}, {0xf2035151, 0xc9b204ce, 0x713d4f7, 0x6adc1ce8, 0x424335da, 0xd22d94e2, 0xccbb0865, 0x26d2360d}, {0xe5e5e7c2, 0xd927d729, 0xbf1aa9af, 0xb7c70d39, 0x3ffb8646, 0x9f048b19, 0xbc99d37d, 0xe527048f}, {0xc0f1df1a, 0x5229641f, 0xf12380ea, 0x19342dc8, 0x6500a163, 0x7592b89b, 0xf778f4cd, 0x4f57f9cc}, {0xfb263e05, 0xaf777443, 0xffe54253, 0x1c070dd1, 0x4e7485e1, 0xd54fadf3, 0xb180ddcc, 0xfe89176f}, {0x42af8ac2, 0x26922bca, 0x3cb6abb3, 0x63e0974e, 0xd8e68378, 0x1d5a02f3, 0xf18957f4, 0x2a924e2b}, {0xe309364b, 0x99955426, 0xa785df71, 0x7483943a, 0xba973c0b, 0x4f8fa943, 0x36968092, 0xef857938}, {0x3c6ec5b2, 0x6713ad03, 0x5ca73306, 0x55a92e4c, 0xf203585a, 0x24b588f1, 0xc0b5d2bf, 0x24e01d8c}, {0x7d6cc93e, 0x2389a5bd, 0x98d564c6, 0xaba430fa, 0xc528643b, 0xdea5d77e, 0xa54e9d70, 0x3fbb80da}, {0x2c004db7, 0x61eff7d0, 0x9266f330, 0xc6e6d55a, 0x8743cc41, 0x1a89d5a2, 0x441f106, 0x543bc7b}, {0x357ad8e4, 0x860372a0, 0x6c3a8d27, 0xf919f6b9, 0x332bdf5e, 0x63aae5bb, 0x23483653, 0x18e99c11}, {0xc6ea5c49, 0x4b2e4663, 0xd78c2107, 0x3cc317ad, 0x65b29e31, 0xa9f65dc2, 0xeffba39c, 0x7fdebe61}, {0xcee12c26, 0xd2d35bdf, 0x817b9239, 0xb360e130, 0x7f494f0e, 0xaa0ee012, 0x8b1d68f1, 0x41e67b74}, {0x6c49da48, 0x6dad442d, 0xf0308790, 0xf99d7aff, 0x44a6c5df, 0x24f22bba, 0x7ed32e9e, 0x4648edf5}, {0x85cc858e, 0xda91077, 0xc13ce321, 0xc67516ec, 0x8150b345, 0x277bebaf, 0x3e8098dc, 0xfeae2163}, {0x33d8f350, 0x43d3b49b, 0x975b0422, 0xb8051416, 0xf11d81bd, 0xa13ae5ee, 0x15d552b7, 0x2f46670c}, {0x3e15242d, 0x7b5894a8, 0x6ca5e701, 0x6191f0f6, 0xf04341e1, 0x158c2614, 0x294e0cf0, 0x51c7c718}, {0xf32d48c8, 0x603a348, 0xf894133, 0xfc31074d, 0x23587428, 0x9e61dbf, 0x1bf47ccc, 0xcbf1866c}, {0x61691a0, 0x99030758, 0x8517c2f6, 0xcbe20743, 0xb94c2c58, 0x394bbe62, 0xeed546c7, 0xed123efc}, {0x32c526fb, 0x2c43d452, 0x92113b8b, 0x528bc6bf, 0x927f85a4, 0x25d21c58, 0xd3410cdc, 0x1e9185ec}, {0xbb076136, 0xb953f301, 0x5f08fe19, 0x70b5d34c, 0x798d9df2, 0xafb0febe, 0x933035e5, 0x3820b48c}, {0x75c19089, 0xab069514, 0x8611a9f, 0xdc541ded, 0xd4fe14fa, 0xe34ece74, 0x2fdaad6e, 0x40e176dd}, {0xcdbce393, 0x5633951a, 0x500c3e80, 0x9bbeb393, 0x9b23ac80, 0xe827ac96, 0x359e2785, 0xc3ff5d72}, {0x43bb55c6, 0xca7b2250, 0x771163ba, 0x191e7da9, 0x805b92bd, 0x2badbda8, 0x3ac13231, 0x4318502b}, {0x69efe9e3, 0x5be51b52, 0xb7a19610, 0x8c1592fa, 0xd5c1c7f5, 0x95c30cd7, 0x44fef343, 0x2b27ea56}, {0xc045f76e, 0x2293cac9, 0xeaa59d89, 0xcbe775e3, 0x762f9a25, 0x1e60a420, 0x89400e43, 0xf93ab1db}, {0x4efa095f, 0x15ba4757, 0x8c874588, 0x2b81c898, 0x8fd9107c, 0xa9998da5, 0x64aaa501, 0xa11cf08c}, {0xded2dab4, 0x72624c62, 0x7cb52ba2, 0x9b9e80b6, 0x1fa92dc7, 0x1aa43625, 0x2a5c9546, 0x34a67f52}, {0xe1431f9e, 0xe0c9f877, 0x9107b1f5, 0xa0e67763, 0x8eb8399c, 0xf38849ed, 0x86bb0fe6, 0x7e7dafd5}, {0xf715342f, 0x83eff554, 0xc3eebdb7, 0xbfbe3744, 0x97ee7d57, 0x23e4322, 0x8ec8f5fe, 0x2693683b}, {0xf5e5c713, 0x11cc5c58, 0x3111c3f6, 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0x8453d210, 0xe124f8a8, 0xdd4e9bc5, 0x72e90a44}, {0x995a1dcb, 0x6b76c4f3, 0x7ef8f95a, 0xf8cb9340, 0xf60ee3a1, 0xb18b1cdf, 0x2c5ec773, 0x383813ad}, {0xebbe5d53, 0x33f19b12, 0x4de31695, 0x9b7a130f, 0xd485266c, 0x3fa1cb1, 0xbf372665, 0xb442e038}, {0xee0e1b9, 0xa6cca11d, 0xed3ea99b, 0xeca5e480, 0xf7ef47d8, 0x761e4153, 0x60897055, 0x243293a5}, {0xcd21d09e, 0x7df8fd84, 0x8dd5776c, 0x3029a8e8, 0x25174048, 0xb03df9a2, 0x34fe93c0, 0xcce2c628}, {0x48299e74, 0xf890add4, 0x283f3917, 0xfad7310f, 0xd4006b04, 0x4c7e6d22, 0x458a3e82, 0xb00e1ae9}, {0x4b3e9329, 0xebbbe20c, 0x17f98ff7, 0x3d2d48ae, 0xc5844184, 0xc371d5b0, 0xefbb359e, 0xbc41b5d4}, {0x7085c0a6, 0x808087f0, 0x1c779661, 0x76fd2761, 0xd2a7b642, 0xa84b17ea, 0x84ce5556, 0xa33e6c75}, {0x72f3f25b, 0xcaebae58, 0x80072360, 0x88a16cb2, 0x8c3a81c5, 0xe545a69a, 0x5ace015a, 0x487ce72}, {0xf10be99d, 0x4e6901bb, 0x6d42ab9f, 0x37499703, 0x34620d0e, 0x3352a2da, 0x360d393c, 0xfd280dbe}, {0xd0d72f61, 0xc8096b37, 0x44b8f471, 0x19945338, 0x60c675df, 0x61e12b47, 0x55c272e5, 0xe6cf6105}, {0xa94c93e4, 0xbddcfca5, 0xea459716, 0x496acd5c, 0xa4bcb278, 0x404194f7, 0x8efff4ad, 0xb22c4cd6}, {0xeebec5f8, 0x6075668c, 0x96421e92, 0x52a1e448, 0xddcd520f, 0xe5b1c7d6, 0x2dc7ecc5, 0x8e052fac}, {0xa4f44852, 0xa0256b8b, 0xb73e4c08, 0xb14748cb, 0xc7593634, 0xc8cc727, 0x6e5a28a3, 0xd14ae413}, {0x12b8c608, 0x9b1a3521, 0x5342c56d, 0x5629c3e7, 0x3e29ce9d, 0x53fef785, 0x80102557, 0x3bb60417}, {0xbda67b60, 0x401bcf1, 0xab7351c4, 0x531ce2d9, 0x410e1c9b, 0x28fb42a6, 0xe3e3bd50, 0xee0aa451}, {0x702d6cb3, 0xea929e25, 0xe20f794, 0x5855aebd, 0x7c85c257, 0xb6537665, 0x98deb2c8, 0xcc270252}, {0x52db1323, 0x7007ae42, 0xeea6b479, 0x8946d87c, 0xdf88a68e, 0xd583273f, 0xce882818, 0x35bf2153}, {0x880df7fe, 0xc50635a0, 0x89e66048, 0x1d563ca4, 0x8ffed7f, 0x1eed3802, 0xe631a4e, 0xab99cf69}, {0x45c4bcf0, 0x7f14a24f, 0x4c04c434, 0x46cc941d, 0xd3619c6d, 0x769c77d1, 0x5c06d93d, 0x525a288a}, {0xab7dd15c, 0xa7b67ec1, 0x38640a39, 0xc92d34dd, 0xb15e7259, 0x7496c620, 0x93c0a4ea, 0xd76507de}}, - {{0xa70adf62, 0xb4c6e3e0, 0x2f2883dd, 0xbac04fe0, 0x72b9eadc, 0x824455d, 0x258a3d72, 0x4eacbfab}, {0x23a93ba, 0x3fec79f, 0x15dd8dc7, 0xfe33978c, 0x90b267ad, 0x84914c9d, 0xd331044e, 0xce53102f}, {0x246382dd, 0x5b99a028, 0xec995510, 0x97ba33d, 0x255d898b, 0x1e99de22, 0x54e1f154, 0xbf454f04}, {0x95c8cb7c, 0xef63eb82, 0x7c62a52c, 0xfe04b9ec, 0xab89e806, 0x3df07fe0, 0xffdbe907, 0x3c25bd55}, {0x98f4d42b, 0xa6a90eec, 0x1567c8fe, 0xa3dd9c21, 0xfb9ad2b5, 0xf9aebf91, 0xef1e56b0, 0xa8da8855}, {0x2f4cec01, 0x23b5ec6, 0x19a76d3e, 0xf0ef954b, 0x21299c69, 0xe744673c, 0x7cf63981, 0x42b34bbf}, {0x2a0ec93b, 0xf9c853d4, 0x6a8e8a1d, 0x55b22135, 0x8e8c6802, 0xe0acd720, 0x6ff951ab, 0x844c9539}, {0x6eebcda0, 0xd1c476ac, 0x70877f65, 0xcca30262, 0xee60ae58, 0xc24d92c0, 0x45396876, 0x40ec48e6}, {0x12d4cc97, 0xb4e7d042, 0xac1be49f, 0x376fa7a6, 0xe55463bd, 0xb9ff4cd0, 0x366f1759, 0xfe8b7f88}, {0x85c99139, 0xfc2c1cee, 0x94f51a99, 0x9ead00a4, 0xed41c92f, 0xd1b39c20, 0xbcfbb077, 0x5d7194ea}, {0xdf182393, 0x976b3d4, 0x757c74f2, 0x3e853365, 0x23eeb5d7, 0xe33c5f16, 0x1f82a911, 0xaa040507}, {0x423c4279, 0x274626e7, 0xae385788, 0x11946704, 0xd7c07eb3, 0x9836b866, 0x8f9bc8d9, 0xfbf2d53a}, {0xe005db26, 0x6ba51d81, 0x49ce87e, 0x7395c64e, 0x701aade5, 0x6f1f0ba7, 0xd24d9f3c, 0x8f28a55}, {0xf16b1c92, 0x485663a7, 0x81f1fc4e, 0x31d651b1, 0x8712d9a1, 0x98d351aa, 0xdbf60d8c, 0x905e3b3b}, {0x53de42ba, 0x6df0abdc, 0x47666742, 0xddc16310, 0xb2f1fdea, 0xa97c003, 0xf25fc110, 0x76f50e7b}, {0x6861b73b, 0xc1042a2d, 0xedad6bdf, 0x90b1af7c, 0x8308bcc, 0x10115977, 0xe7fc6b6d, 0x33ee61b4}, {0x237ff08c, 0x3ba873ac, 0xb24076fb, 0xd63d295d, 0xadb5e874, 0x8a624557, 0x3843e9f0, 0xfec455b4}, {0xd91dd47, 0x60677304, 0xbff9e465, 0xa87d6030, 0x9b652ff2, 0x856c271e, 0x6f65c688, 0x50582a29}, {0x54cf0858, 0xa3fbcf14, 0x2a7c789f, 0xe89d8390, 0x60982ca9, 0xe91175c, 0xf0aeb1f4, 0x5708064c}, {0xd31b7b4, 0x8979ba69, 0xd11f0852, 0x296f84aa, 0xcd2ae196, 0x57e6d84c, 0x680dabad, 0x3252413c}, {0x1e1b3e9d, 0x4f39a38d, 0x6799874d, 0xff71a903, 0xf36338a8, 0xbc4d8298, 0xcf462ef4, 0x34cd5c3c}, {0xbf33e354, 0x291775aa, 0x7558df77, 0x165370a2, 0xac03824a, 0x9e147f81, 0xaad6effe, 0xd2f08ebc}, {0xb6e38269, 0x8f652f0, 0xe747907c, 0x11557233, 0xf796af9e, 0xd7c78c72, 0xc51977f8, 0x1d8b9ef8}, {0x8a541916, 0x63744993, 0x79f55fdd, 0x3ceda9a0, 0x29575d87, 0xf60c1194, 0xf8976945, 0xe5696a7b}, {0x3bbe7aaf, 0xd3946384, 0xa6877bc4, 0x57db4270, 0xaf63e739, 0x861b2ac2, 0x30859a46, 0xe8fde20}, {0x792f1605, 0x3f575a02, 0xb4a64a71, 0x1989e64d, 0x509ba5b1, 0x186cee08, 0xdcb7a3d0, 0x2dde656}, {0x6cae3f36, 0x170b1192, 0x75daaccb, 0x4359227e, 0x4286d97e, 0xa8da9e76, 0x75677cc3, 0xd43676f9}, {0x2e791954, 0xbf24cfb3, 0x2f75cb5b, 0x4b45ca32, 0xe7907415, 0xdd795fef, 0xc6764687, 0x708a379b}, {0xddc883d9, 0x99147907, 0x919a20d, 0xc146fdf4, 0xfd85165, 0x8ada61b7, 0x52f83705, 0x7be38afd}, {0x8531e401, 0x4e69e20f, 0x8d070ca3, 0xca86046f, 0x558fab3, 0x812c0ef6, 0xf4854d1b, 0x378026d8}, {0xc021f9cf, 0x68601ece, 0x2caf779, 0x1c3fff62, 0xe4472363, 0xeb47d102, 0x4f971cc5, 0xe2861e2}, {0xb6c385f2, 0x4b78179c, 0xeb3a5c43, 0x17d40945, 0x4794b6d1, 0x5ebf8879, 0x70376537, 0x748ad16e}, {0xd919ebd1, 0x101a6b58, 0xf3d4962c, 0x8c6831a9, 0x4716a202, 0xf167e8e7, 0xdda3ecc3, 0x318586c7}, {0x92e90fa, 0xc13acd3f, 0xe4228be8, 0xaf0400b5, 0x71cfb7f5, 0x2ac222b7, 0xbaf601d7, 0x87e63521}, {0x538e3044, 0x6e3cbb02, 0xf15703ca, 0x26ee5c09, 0x76635968, 0xcd004b53, 0xca2c4e1e, 0xef872add}, {0xfbe2f442, 0xf6a175fc, 0x200dbd75, 0x7b45149b, 0x6b546943, 0xb84b555a, 0x51f46bbe, 0x8b4def5}, {0xbc2cf5e4, 0xec9e1a79, 0x252e8bd6, 0xe63aa5fb, 0x23648b30, 0xbf60fe24, 0xc25f6543, 0xe46051b0}, {0x16002f7c, 0x4744446f, 0x240d5e1e, 0xeae52d87, 0xf0beec5e, 0xfff05bb9, 0xecb27b7e, 0x44162421}, {0x5aba163d, 0x8a8315ee, 0xbc7b5535, 0x8dd4e960, 0xf66a18de, 0x2183452c, 0x29370ef6, 0x1dbc8e14}, {0xfa9f4e2c, 0xa4fde734, 0x9f76b637, 0xc507a474, 0x7c381b75, 0xfb1fcd81, 0x2bcf2953, 0x9be1fa05}, {0x7750ee30, 0x698d1d7c, 0x2dc15c82, 0xad62584, 0x7f3d9336, 0x6ab6bbf, 0xe0c81cfa, 0x41edfb78}, {0x87f7693, 0x559b1059, 0xc2ad4f2e, 0x167a496d, 0x94239b35, 0x4cd9d41e, 0x2ff531ea, 0x5085184e}, {0x6cfa1e2b, 0x87bd219b, 0x6ff38ab3, 0xd65ffcc3, 0x633f1ab, 0x1cf24d3a, 0xc0a6684f, 0xb204987f}, {0xd478d0c0, 0x92a7ecf9, 0xb75b09b8, 0x26fe338f, 0x7cf00586, 0x9dfb45e3, 0xde48663a, 0xa8cdbdb9}, {0xf45ef92c, 0x906be65, 0x4911ebcd, 0x4214dad3, 0xbe4f57a0, 0xa2f617a4, 0xc7648d5a, 0x9e675984}, {0xd89bb388, 0x681c8e5e, 0xe7827c53, 0xf889b63a, 0x91617d9f, 0xbb3fa102, 0xaa6987c7, 0x7eba3a3f}, {0x4a7f6a1c, 0x11450977, 0xce0671d4, 0x42079de6, 0x413ab41c, 0x24ffa3a7, 0xacb53c31, 0xb92ff97f}, {0xd0b91ded, 0xade68789, 0x2e803f9d, 0x399919be, 0xbd53438f, 0x14a2b25f, 0xaf7ae50b, 0x295a3747}, {0x818e32b5, 0xb4acdd15, 0x4bedc38c, 0x9a675b2, 0xa2b180c0, 0x70d41344, 0xef9a885e, 0x265ce14f}, {0xbf5587b5, 0x541200f2, 0xc669d888, 0x854e9d39, 0x797408e3, 0x591a1576, 0x54d450bf, 0x7db7755c}, {0xfe3d6e00, 0xbc01b632, 0x2fba6a18, 0x39c09950, 0x8841f7b2, 0xb122ccd2, 0xe769396, 0xfc30720e}, {0x33a3818a, 0x79611568, 0x6541b3dd, 0xda9ca7c2, 0x2d0be226, 0x13bc31f5, 0x3fdaeeba, 0x42b41822}, {0x641222a6, 0x27c74c92, 0x7ec37e5f, 0x7e8afc57, 0xbaf455d1, 0x1ee9e26, 0xeca0ebf, 0x26bbc915}, {0xc060c696, 0x8d9f9aef, 0x475cfdae, 0x1402f03f, 0x2698eef9, 0x27297977, 0x49588fcc, 0x39618a83}, {0x626430c4, 0xe4301be4, 0xaef97d70, 0x10781a65, 0xc77aed9f, 0x4e153c54, 0xf1c2b941, 0xade67a48}, {0xa1682d20, 0x8514d1a9, 0x475b08c7, 0xda3e6f94, 0x30f5cb2c, 0x940e5f74, 0xb062ab44, 0xefcce861}, {0xd7d09713, 0xb709a19b, 0x6b32e136, 0x46cd4344, 0x44a31178, 0x8f55aa10, 0x1b4c6845, 0x9203f9bd}, {0xa5aa5d9, 0xb2d21010, 0x8cd31b2a, 0xde65ddf, 0x633557ac, 0xe8d06ec0, 0xf76607c, 0x41c37cb3}, {0xc5d59d3b, 0xb8928c7, 0xb95f4dd6, 0xac148481, 0x63cb59ab, 0xf1355311, 0x2f8a353f, 0xf2f93fd5}, {0xb283b448, 0x1fd70650, 0x9ba11f27, 0x828967b4, 0x3a2fd10c, 0xe29d76c6, 0x96540e27, 0x3d8512d6}, {0xe2c6f102, 0x25e65b81, 0x1de59ed9, 0xe0fe8626, 0x16f57f5d, 0xdf20df0f, 0xf13231c, 0xef21faf7}, {0x6d19ac88, 0xdfe76283, 0x1c9563b2, 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0x3e31a8aa, 0x4a240e6e}, {0x6166c9f3, 0x3b483b82, 0xad15916b, 0x34430475, 0xa8f90575, 0x64160bff, 0xc46cca78, 0x451e2a0a}, {0x376f7061, 0xb8324902, 0xc28ca979, 0xefbc090f, 0xafe423d8, 0x57d88764, 0xdcf2abfa, 0x84cd62ff}, {0x7bdb047a, 0xac6c5f56, 0x7df9c6b5, 0xb4c41c22, 0x727bf583, 0x3e948bc8, 0x90603011, 0xb0e54b1}, {0xd7988eff, 0xde23d56d, 0xce15d5d2, 0xb07682fd, 0xa8940a81, 0x6091c6dd, 0x641913ac, 0x7c36aee7}, {0xbda58f00, 0x8e5df294, 0xcef6adb7, 0xe4415485, 0x55e81a7a, 0x2693cd0e, 0xf08ac1d2, 0x88bf82f2}, {0xae220da7, 0x61444729, 0x698120cf, 0x9073cd5a, 0xf71318a, 0x8f42d9f9, 0x7d28b77a, 0xb0b662a5}, {0x7b836dc4, 0x82d0ed1c, 0x7765ec81, 0x7206b584, 0x57ba9f71, 0x20690245, 0xca42c6a, 0x13feb8a2}, {0x57da043e, 0x289926b5, 0x6f2cf917, 0x7c5daae5, 0x3fdb717b, 0x80fc259, 0xcb2d0d24, 0xe73a62d8}, {0xd0c3ca57, 0x434d92a6, 0x7a3450f1, 0x6282639d, 0xf3228484, 0xc759ae8b, 0x630e4935, 0x4aff6a8e}, {0x25fe6871, 0x797d8caf, 0x1a5b865, 0xc7c92fd, 0xce711c42, 0x99cbc5d8, 0xc10f104b, 0x8d0b815b}, {0x81f3bd64, 0xdcb8932c, 0xdcc2186b, 0xf95c5733, 0x3b110e4f, 0x397940da, 0xb71b8ca6, 0xcc536c69}, {0xdc758f6d, 0x36c956a3, 0x5142b41e, 0x5c88e3aa, 0x873b71ad, 0x87680192, 0x587d32bb, 0xb0dd5181}, {0x953ef501, 0x8738a15, 0x92686ceb, 0x192008f6, 0xf67daf1, 0x2d01d9ae, 0xdcb9eb7, 0x76e9b2bb}, {0x380c8692, 0x4fc9bf8b, 0xa5c22ba4, 0x5807480, 0xb5309bc3, 0x57531709, 0xa9e306c1, 0x3c49e431}, {0x52d37299, 0x10a58359, 0x305d0b61, 0x6fca0979, 0xca9db821, 0xc72e9dbc, 0x9b172563, 0x721dadeb}, {0xc396cea4, 0xca522572, 0x7104343a, 0xebeba3bb, 0xd0b20522, 0xd0f6f35b, 0x671101de, 0x8875126c}, {0xa783268e, 0xbe8c682e, 0x6914222d, 0x83161ed4, 0xde9fceba, 0x58d2dd55, 0xcb3b0a51, 0xb225362f}, {0x40597d24, 0xa95f8105, 0xbaa85e0e, 0xf60bb74e, 0xa55f9087, 0xf607a191, 0xce618490, 0xccc73150}, {0xa6d8d66c, 0xb53e5ed2, 0x228e83e1, 0x59fe459, 0x326aba53, 0x8b56cb31, 0xe3dfcd70, 0xe7d844ce}, {0x859df89f, 0x52668876, 0x9b428a6a, 0x5552a696, 0xef7525cd, 0x8d68e7ac, 0x4ca6fc12, 0x9682f4ed}, {0xafe45868, 0x22670c36, 0x107becf6, 0x31840676, 0xf2053901, 0x76e4751, 0xd51bd6b1, 0xe36e8e0}, {0xcc14c563, 0x64cd761, 0x74d19504, 0xbc2725fb, 0xb2895f36, 0xec62dfdf, 0xae56678a, 0xeab5acc5}, {0xb698b32b, 0x3f437c6, 0x774074d1, 0x2d87b46c, 0xe2ad1e00, 0x64ea2118, 0x43be5394, 0xea56e229}, {0x7b3b701, 0x91306165, 0x4d19eba6, 0x33a6b6a3, 0xe63fa9e5, 0xc6383dff, 0x14c42d7f, 0x29b5afc2}, {0x190e9e8e, 0xf2b47f99, 0x8ebaacd, 0x49bbf85c, 0xfe8ae573, 0xb0deef48, 0xae9b602f, 0x70f9e0ce}, {0xb2b505c, 0x1795b018, 0x95264464, 0x15c55d5, 0x374ef2bc, 0x3752a434, 0x4188de11, 0xca1745e9}, {0x85a5352b, 0x372753f2, 0x4b9a97d4, 0x6c95a374, 0x3f62b661, 0x86a6600, 0xe1ccedf, 0xb5df995d}, {0x7ea54a85, 0x94521534, 0xe96075dd, 0xf0535a23, 0x2bc2eadd, 0xcfa1b490, 0x3c9caa0b, 0x54b4f27}, {0x3dc5984, 0xcf480343, 0x8320a80c, 0xe0dae782, 0x2129a403, 0x28d34822, 0x1221724c, 0x9c142cea}, {0x8fd61a2, 0x23dd542d, 0xead6d912, 0x13a4e64, 0xcff9ca3b, 0xc99be36b, 0xcc291fd5, 0x72e1eb21}, {0xb51bbd65, 0x8d3850bf, 0x39cc6875, 0xeaaa994e, 0xac23e0d4, 0x1a225e54, 0x4fa3d225, 0xbc1f548d}, {0x9f9c2268, 0x7df509d1, 0x5c5874cf, 0x90524c4c, 0x9e75cefd, 0x64125188, 0x9fe763c0, 0xf12766fe}, {0x4fbe2289, 0x18e6f709, 0x99a75ec6, 0x80e71a7, 0xd476dc7, 0xe5f0daad, 0xe955a456, 0x22b4e7f8}, {0xd6ba9d0f, 0xd622018a, 0x37500c07, 0xc4219ae3, 0x4d0cedbc, 0x1341bfdf, 0x38db4326, 0x93e71657}, {0x4539fc2e, 0xf20a09d1, 0x4820e0fd, 0xed09eda4, 0xfd34c98c, 0x22c6fe03, 0x2ff3e7b2, 0xe396abd3}, {0xeb005eed, 0xf519978c, 0xbaf03b80, 0x64717d35, 0x6795db69, 0xdf2553c8, 0x94247e30, 0x29caf0bd}, {0xdc2337cc, 0x1808cdb, 0x9d8d1654, 0x9f7dddbe, 0xdaca8114, 0xdcd49e42, 0xf55ebbc8, 0xbd90c8ab}, {0x1a53f12b, 0x2b814be2, 0x827dcf4d, 0x10809f37, 0x9d056d5e, 0x3bcd802c, 0x9577a4dd, 0x96137bc6}, {0x2e21bf05, 0x453dcb6b, 0xf0d46c59, 0x37f39b52, 0x154a4ab4, 0xe25980dd, 0xfc0d976b, 0x50f398a0}, {0xab8d2511, 0x631e723a, 0x7f06a196, 0x259130a3, 0x2d2d103c, 0x5dbafcb6, 0x4d0183a0, 0x3068b7a3}, {0x7cf4825f, 0xc76d53a3, 0x89933839, 0x1b22c246, 0x988c11a1, 0x20cb6e1d, 0x8787753c, 0xa2ae8d30}, {0xd2ca12f8, 0xee9f856e, 0x2f050b00, 0xde8c3374, 0x2d2464aa, 0x514c6072, 0x584385cb, 0x13a15964}, {0xdd6b6d9b, 0xef5f71a9, 0xdda3a9dc, 0x44379710, 0x61c7c521, 0x355a900, 0xd829b71, 0xcd2ce43}, {0x225db68e, 0xed7971d, 0x83a0e1f, 0xc491b4a8, 0x85e33ef0, 0xc25a90e3, 0xf5db009f, 0x6318d426}, {0x46eca241, 0x20dad7d, 0xe68dee9, 0x54ab216f, 0xe9dce7e2, 0xa89f8dfc, 0x2c2a481b, 0x8a38877c}, {0xb166dc21, 0x66f4e0c3, 0xa769511b, 0x9693f6e1, 0x7cf9b35c, 0x25bef567, 0x98de6c7d, 0x64e34aae}, {0x4c5f8d8d, 0xc0618b27, 0xf99321d4, 0x8d1de1ea, 0xa3596965, 0x621c595b, 0x48e23e0e, 0xe4e80fd1}, {0x21dbeb9c, 0x1de0838a, 0x52d10ebc, 0xa94e830f, 0xfca3b504, 0xd4b194b2, 0x14382138, 0x32ff751c}, {0x3c11e768, 0x175cee7b, 0x804f9c94, 0xc41b28a9, 0xc7d71a10, 0xc29ee2f9, 0x51efb1c2, 0x67136d6c}, {0xbc861528, 0xd7c4943a, 0xb824059d, 0xa6d37eee, 0xd6779d5d, 0xd721bd90, 0xfe71fd86, 0x65aff951}, {0xe6d0e57c, 0x2455bdc1, 0x20aafdaa, 0x9ed128b5, 0xef434970, 0x917439fb, 0x1f0012e1, 0xdfaabf17}, {0xa60273cc, 0xcca3cd3b, 0xd87b43da, 0x1fd8bfcc, 0x4cd14379, 0xd6b7447b, 0xd4d3ea65, 0x6dc47007}, {0x6244010f, 0x2eee48c1, 0xa8f8b899, 0x8fb99ee9, 0x7a44fe20, 0x10d470ac, 0x9864e4d9, 0x366e3556}, {0x1f601b2, 0x61a6960f, 0x1a183c3b, 0x6dd102dc, 0x2f8bfeb7, 0xbf632330, 0xc4971aa4, 0x3a45c815}, {0xcd10b284, 0x469718fc, 0x75656933, 0x4b67f6b9, 0xfb43908c, 0x5a09cba4, 0x32d71017, 0x13dbd506}, {0x4b4ebf42, 0x7f8b5d26, 0x93a1fa54, 0x78daaf15, 0x5620fc6b, 0x7d0cd76e, 0xf099e653, 0x596d6332}, {0xbd3fad2d, 0x6a15b6b6, 0x70bf1963, 0x169496d6, 0xe34f8873, 0x7e1ad333, 0xf2f383f, 0xe960badc}, {0x344470a5, 0xabb71bf3, 0xc681d96f, 0x8c132807, 0x78b48166, 0xa7e091f8, 0xeb4dd08a, 0x881bc6b}, {0xc796fcdb, 0x49d8e50c, 0x30156f6, 0xc3e782f2, 0x8fc04578, 0x37bb01e5, 0xfa1de1ae, 0x112c8188}, {0x14197985, 0xe68dbf1a, 0x945766c7, 0x2eb58ae2, 0xa23a44b3, 0x55a64e90, 0x2af76db0, 0x8171a86}, {0xcad998ba, 0xd4baec2b, 0x69cb41e1, 0x4e2b8c2, 0x86bc7ec2, 0x69e7f125, 0x7c3dd890, 0xe4aa00b1}, {0x906f8b73, 0x2eccc246, 0xab47c82, 0x52d33ce8, 0x6a296b78, 0x97b92604, 0xc09ac6db, 0x30760f0}, {0x5cb17584, 0xeec3ea7, 0x8aeaa94, 0xb71b8bfe, 0x939f5a82, 0x2fdc11b1, 0x103bd887, 0xe22d460c}, {0xda47234b, 0x1b2e633, 0x268ab6a4, 0xf73356ed, 0x18e82696, 0x1eba14f7, 0x153d2657, 0xb2ca8b92}, {0xa35d421e, 0xbb59f284, 0x2bf6214e, 0xf8152da4, 0xc2a0d193, 0x6b82f61a, 0x271063dc, 0xf71781fd}, {0x1e5bf841, 0x2efc2085, 0x5dc7ba43, 0x3937b69d, 0xfe1cc66a, 0x133d4a32, 0x28325dd5, 0xb54d5ac1}, {0x5be1aa60, 0x5ad232aa, 0xd30ba880, 0x81df7ae0, 0xae0ab1c3, 0xd98d8381, 0xfeac210c, 0x62fc6ee2}, {0x9bb70761, 0x2184a3cc, 0xb26135e4, 0x3ab7c0f7, 0x8841533d, 0x93e1c1da, 0xc17e48a3, 0x42c0bfcb}, {0x5b0fc08d, 0xcaea76aa, 0x6fb10a51, 0xde5e9f76, 0xf856b4e9, 0x58be55a6, 0x81b13d48, 0x1827f42c}, {0x41b61537, 0xcb9058fb, 0x7fb45240, 0x6b2a5559, 0x1b1d25e0, 0xb8118746, 0xdadfa523, 0x11bbf41a}, {0xb82df76, 0x64c9c83e, 0xec0727d4, 0xdb26be29, 0x90876e70, 0x86806f36, 0xef7e9c82, 0x508daf96}, {0x791d3df4, 0xd2f76595, 0xd2781477, 0x2f9ad6d4, 0xe75ddf55, 0x77a94c4b, 0xd7a22929, 0x95abf227}, {0x6bde72e2, 0xdc9d9140, 0x3ffb5402, 0x252027ab, 0xca946899, 0x87cb1d4b, 0xde2d6b94, 0xfa9995f2}, {0x7f7af133, 0xef5dcd49, 0xae7bf38f, 0x5a56e57, 0x1e91c8d8, 0xd228b525, 0xd7c70f1b, 0x45adf6c0}, {0xe5ab8f61, 0xf6b926c3, 0x4bd50a2, 0xba6d458b, 0xc13df9d7, 0x18308424, 0x4bcad866, 0x7d7381fc}, {0xab3d195d, 0x20532884, 0x4723fdea, 0x2385e250, 0x3c27a355, 0xf5d59462, 0xa53a312e, 0x8ccbf21a}, {0x95bcfb77, 0xbb8ec36e, 0x89d76e07, 0xd3889f10, 0xd0a2d9f4, 0x320a62, 0x74eae330, 0x46cddc36}, {0x5e863883, 0x267dbb4e, 0xf790bf7e, 0x5b590d4e, 0xb79520f4, 0x66667bed, 0x217a9ccd, 0x9204e2af}, {0x56f4cc29, 0x68bbeed5, 0x1244d24b, 0x1ce69ca5, 0x9dd20831, 0x37e93d7d, 0x267a2bec, 0x725c7531}, {0x5f8fd9a7, 0x59332b47, 0x71ec78a8, 0x33aec8a3, 0x8b095749, 0x86fbdf3a, 0xcdaaf5c7, 0x8d5c480a}, {0x6f824ae5, 0xa4227a30, 0x8fc5e58c, 0xc5ba1fa2, 0x124254f4, 0x7fae2462, 0x23e6d8a3, 0xd89dbed0}, {0xdaa778fc, 0x4eea819d, 0x8dcb7a29, 0x85cca39b, 0x66819511, 0xb2fc50c, 0xc50cb28c, 0x56e4f147}, {0xd151babd, 0x8dd68186, 0x44302c8e, 0xc1b1e2f1, 0xe382fbc3, 0xc70a9b55, 0xd23cafe8, 0xaf4b0ef2}, {0x9f040de2, 0xa9ad4a4d, 0x606e9ec3, 0x21809dac, 0x247ba00f, 0x88245d6a, 0x1f400f50, 0xccd8a38f}, {0x8baf5796, 0x5caef229, 0x5f10a572, 0x15fbf76e, 0xa092f298, 0x595a14d6, 0x9f106e4e, 0x27b7dffa}, {0x8646482a, 0xbdbc7e2a, 0xb7119282, 0x2c4ecdaf, 0xdc0020c1, 0x3d79e6f0, 0x4e5664e9, 0x4c30865a}, {0x816aeec, 0x5a0b1e0, 0x59942563, 0xb9ee6c31, 0xd230add8, 0x82e5a6cb, 0xf7ec36e3, 0x4eb02d44}, {0x50a5f597, 0x658ca8a5, 0xfb04eceb, 0xd9d43644, 0x954992c7, 0x53ccec5d, 0x7073dd6d, 0x32089a3e}, {0xc3dead33, 0x5bdc65cc, 0x4aec1d53, 0x63d7b88, 0x643bc234, 0xe544054c, 0x81a45bcb, 0x6ef4823c}, {0x5104a6b3, 0xefbbf199, 0x6f34a5c, 0x87fa79e8, 0xd0231ed4, 0x72854913, 0xa85fd8cb, 0x5d974e18}, {0x81b7aaee, 0xb631acc4, 0x5ea26aa, 0xea9df397, 0x3b55fc9, 0x6f2cdd85, 0xc26be199, 0xa1378498}, {0xe0e3ab3e, 0xb0e6d66f, 0x7b671bc8, 0x8bf4bd84, 0xf4729674, 0x802a89b7, 0xf6d47d4f, 0xfcf5f87d}, {0xb791197e, 0x198c482e, 0x85653984, 0x236d1107, 0xbafcf527, 0xfe98cdc3, 0x4f76444b, 0x7035fbec}, {0xe650cf89, 0xa4b8a652, 0xcdefba51, 0x8b7f6d4, 0xaa64c681, 0x4c1b6b02, 0x85850dfe, 0xb27a9829}, {0x42b4ccb5, 0xb5a3a356, 0x65830960, 0x6d107f6a, 0x9f69ccbb, 0xd7c32a35, 0xe3eed29d, 0xcf55d6a7}, {0x517234a5, 0xe045aa09, 0x10f33b21, 0xe9dc83b6, 0xdc24554d, 0x53e7674d, 0x640b8e91, 0x9106750d}, {0xe6a6c381, 0xc1e24eb, 0xdc86b995, 0x4468ea7e, 0xdd0c262a, 0xec10b5a8, 0xbcb81a3a, 0x43405317}}}; diff --git a/src/sig_picnic_msr/matrices_256_1_316.h b/src/sig_picnic_msr/matrices_256_1_316.h deleted file mode 100644 index 1160d9665..000000000 --- a/src/sig_picnic_msr/matrices_256_1_316.h +++ /dev/null @@ -1,634 +0,0 @@ -uint32_t linearMatrices_256_1_316[316][256][8] = {{{0xc529c37b, 0x220abcbf, 0xbc9b6a25, 0xc104a275, 0xb04ceb9, 0x406e480a, 0x735e0eb3, 0x196a0d2}, {0x616a0696, 0x5da8231c, 0xd82a2236, 0xd47e668e, 0x64f2b778, 0xf131310a, 0x28ffa12b, 0x604222b7}, {0xbaa57cac, 0xfdc4a823, 0xd1b2e527, 0x75dd13ce, 0xfba9b9ac, 0xba65497, 0xc701c2fc, 0x4c4a0796}, {0x27b7440d, 0x1a1b9eb5, 0xa5949af4, 0x67dfb9ef, 0x8121c0e1, 0xeea6caff, 0x26f88a85, 0x952cb089}, {0x8ee98aa, 0x6d1ed111, 0x27505b96, 0x7c39e34b, 0xc1c2171d, 0x9488fbc4, 0x504ec357, 0xc0e73083}, {0x2d2a23b6, 0xcd1cd4a9, 0x5529af37, 0xf4a47fe8, 0x1dd6694a, 0xca1766d9, 0xe5725864, 0xceaced2f}, {0x983650e0, 0xd16d81e4, 0x13590149, 0x759aff9d, 0x917bce55, 0x6cedd63d, 0x3395040e, 0x43796387}, {0xf9bea19d, 0x8f9aad4a, 0xd06ffba0, 0x2cc764d8, 0x6f440e63, 0x8016a43c, 0xbbc535ce, 0x7318680}, {0xebb7915c, 0x6451ef6f, 0x942897cd, 0x437a6f04, 0x4740ee9e, 0xc50a923a, 0xdb0e958b, 0x32bb2c76}, {0xa21a9846, 0xb8b49b38, 0xda9a3210, 0x80cc882f, 0x5925ea26, 0x3d9565b4, 0xdba28c96, 0xb949c380}, {0xc07169a8, 0xdc15cfe5, 0x17ef4266, 0xe4b6e9b3, 0xfe931880, 0x3b073649, 0x8ee6918f, 0x46e786f8}, {0x7beaf210, 0xcf2d6004, 0xa31fab40, 0xaf6120cb, 0xc705de0, 0x60cc0523, 0x4dd8958a, 0x3e1c7315}, {0xf0986394, 0x7ec5dc8c, 0x20748be1, 0x558b087e, 0xdee77aed, 0x5f0c6baa, 0x1c22d1f7, 0x61b4f0f4}, {0xc388dd8d, 0x73de4dba, 0x965e0238, 0xeee5dd64, 0x6e3b2cfc, 0xde317b60, 0xd092c81, 0x8a8d288e}, {0xd3712501, 0x1dab4231, 0xbbcf2d5a, 0xeac36fb, 0xc54acc92, 0xb70dc6fe, 0xf6a871a8, 0x43940d5c}, {0x140639c5, 0x26246fc7, 0xec35c57b, 0x6cf34301, 0xcd07db4e, 0xa7c0dfec, 0x41ec2d2a, 0x8728e36d}, {0x1211b641, 0x277ea875, 0x8c896d3e, 0x4bb71ecb, 0x365ce6c0, 0x8a7483ed, 0x95bf04ce, 0xd0ff44a8}, {0x3634328e, 0xec6af046, 0x46339e9e, 0x4167781a, 0xc656bb08, 0xf34c94eb, 0xedae3fcb, 0x15a5e568}, {0xcaf2b0a3, 0x5b809bae, 0xae4c3e3d, 0x71fbfa3a, 0x73cc212e, 0xb80856c2, 0x7d2b4f92, 0xda70fdd5}, {0x2ed94550, 0x86aec29b, 0x5451a682, 0x699879a9, 0x77b90f47, 0xbc8e4c6, 0xc3a2ca21, 0x6d48fea7}, {0x19402b78, 0xe623a404, 0x8558e04, 0x1edc7740, 0x14fb7f63, 0xbe19c1a8, 0x27682fdb, 0xb27ce136}, {0xa7dad5c9, 0x81dd0000, 0x5f2109c2, 0x1c40f6a1, 0xfbc76389, 0x688ef857, 0x2b4dd47b, 0x98a0508f}, {0x2e191cc3, 0x222b5d58, 0xbc30006c, 0xb00b1d33, 0x474b0afe, 0xab96ecdb, 0xc4125b71, 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0x1f4ee56c, 0xd96e4a48}, {0x5f19b3d0, 0xc17618c6, 0x299981b6, 0xecdec3ed, 0x4164872a, 0xe6ec1a7f, 0x1b073583, 0xff211dbf}, {0xf613752b, 0xf12fae8a, 0x604d9634, 0xc628ec52, 0xc906f3e3, 0x8b30220f, 0xb2c562ce, 0x57be2ed6}, {0x2f0bd231, 0x5804576c, 0x18e0ef37, 0x62a77428, 0x4fd66483, 0xa8775f62, 0x7ccbbff, 0xd01bb5e5}, {0x31a0e0ae, 0x2fa3075e, 0x20560173, 0x12f8c3cf, 0x91e84d81, 0x2b9cbae4, 0xe55a3b16, 0x3d6a1251}, {0x369e0a32, 0x41334ad5, 0x8f56c033, 0x9a670ff2, 0xdd56bc1b, 0x1f009eef, 0xd9e3ae70, 0xa4c76339}, {0x4ef59c8b, 0xf8253653, 0xf32edb4, 0x5d0a637, 0x3632188e, 0x5914add4, 0x8e9b3cbc, 0xc302677c}, {0x44ac38a, 0xe9f2d3ab, 0x12380dfa, 0x617f00ea, 0x8e41b3e, 0x42a6d813, 0x63596112, 0xfd6c1187}, {0x83e71e00, 0x1c811042, 0xa927f7e5, 0xfaf524cc, 0xa747c498, 0xb6e6dc2f, 0x1e26dabb, 0x25377526}, {0x841d36e3, 0x673b8490, 0x552a1edb, 0x19af9957, 0x9e47e537, 0xba866253, 0x98c2f847, 0x9a479bde}, {0x55d505eb, 0x465ad951, 0x92660b29, 0x712a6cab, 0x81fcbde1, 0xfb3cd60b, 0x1a6acabf, 0xf1183d5b}, {0xb851889d, 0x5c868bdf, 0xe376acd0, 0x95b65ede, 0xd15e0a33, 0xc4c00bdd, 0x4b5ccd72, 0xa25b713}, {0x71e426d2, 0x1b379e2a, 0x7e470707, 0x70034a8d, 0x1190f65a, 0xd0f27639, 0x9270a947, 0x58a1b69e}, {0x864902c5, 0x83380427, 0x1abc9560, 0x5d5ef809, 0x634a29d, 0xc9ef9411, 0x54a7934b, 0x8bcc4ece}, {0xeb5bcb8a, 0xc9f12d99, 0x4d52e8d0, 0x1a231cd9, 0xfd4c2119, 0x5207bf20, 0xc8df7a98, 0xc40b1f3a}, {0x721fc69a, 0x6eb13776, 0xfa2b8aca, 0x47a23ee3, 0x2ceb777f, 0x654ddd5b, 0x92cbf0e, 0x63b1602}, {0xa4cdfb7, 0x4fae2f8, 0xe486a9bd, 0x550e229e, 0x3873a727, 0x1cd1e119, 0x12da38bd, 0x35e6dfc3}, {0x5edca659, 0xa77c6ca9, 0x27cc4c3, 0xdc02b595, 0xd56efcbc, 0x5aa3184d, 0x12bef99d, 0xd202e3ec}, {0xb08b0265, 0xa57b5065, 0x542e9b8e, 0xc4e2fca2, 0x4d890fe3, 0xa44cf52, 0x52a433d1, 0x74b36266}, {0xb8f994eb, 0xd764a67e, 0xf51117b8, 0xb2cba97f, 0x4c4d377b, 0x14b284a3, 0xa1faf3db, 0xa57460e1}, {0xbe5c99d3, 0x3b355ec4, 0xff70fa26, 0xd5136255, 0x9540037e, 0xbbacc6bc, 0xafdaa7db, 0x6a49370a}, {0x9e9967a0, 0xa33a51bd, 0xc83a3619, 0x8a7d4b, 0x35ab218c, 0xaf192b39, 0xb6ed5f32, 0x2d585472}, {0x32b517b1, 0x2397b4f1, 0xcbab84be, 0x2db90d31, 0x3b243b66, 0xdbca4967, 0xef7cf0d9, 0x6fdf141b}, {0xc26610b9, 0x3ea388f9, 0xa4e73ad4, 0xbd5652cb, 0xdc73d619, 0x48bab4d8, 0xf02aa90b, 0x5c2fb82}, {0x4c716e63, 0xa0d4fce3, 0x21c53231, 0x604a1d0b, 0x34f84864, 0x8cfb894, 0x5ff6d794, 0xa92e88c0}, {0xfd5df079, 0xb11a715, 0xbff92049, 0x73e5f621, 0x8a15438d, 0x5cc64189, 0x8f6c9cc0, 0xe19a894d}, {0xc0b07c9f, 0x65d9209f, 0x3538ad97, 0x86254f7d, 0x7b5700df, 0xe37d4b2, 0x7a6df4ac, 0xd6324748}, {0x6afe8d04, 0xc9deb6b1, 0xbea5bc52, 0xb4a809c4, 0x3e97cb1d, 0xa6e3418a, 0x47c7934b, 0x9863dbf3}, {0x8e9cdac4, 0xd39950cd, 0x5d87f2f9, 0x2958c16b, 0x894dc7e1, 0x487c14cb, 0x1ad7b4d2, 0xfbed8a5a}, {0xb1658bab, 0x3842fad6, 0x7536471a, 0xb8412c95, 0x17e64166, 0x7d882da2, 0x715440a9, 0x7d69f405}, {0x55e54965, 0xf76a9100, 0xf0a24a96, 0x5f4817db, 0x8ba92a91, 0xb971c0b7, 0x3064c5b6, 0xb16ba416}, {0x6793ad60, 0xf8bd9347, 0xdabe1e8a, 0x51cb28ba, 0x73c31d0, 0x24c294cd, 0xed38f847, 0x6841c4e3}, {0x25c0806, 0x56c2b868, 0x8fc0ba4, 0x3b8c82f2, 0x73b00a9b, 0x6ac17fbd, 0x47f70b87, 0xf0cbf37d}, {0x2ed6f052, 0x6427ace7, 0x69836d81, 0xf24d0b51, 0xc0184134, 0xad43bfca, 0x1587fddf, 0x372e894b}, {0x354a7b55, 0xe09142f1, 0x9109672d, 0x398eb666, 0xc61a022d, 0x98a26ceb, 0x75731fd4, 0x77973561}, {0xa311eb34, 0xc8f1ddb5, 0xf9ab6b56, 0xc9806e49, 0xfc80cde0, 0x2cab44bb, 0xa79f403e, 0x59fae5da}, {0x28314c0f, 0x4af12929, 0x8d836463, 0x43eaa821, 0x550f5867, 0x54567cbf, 0x3f77ef6e, 0x8f81281a}, {0x3e69314c, 0x9934e2a7, 0x81f050b9, 0xe87f0d2e, 0xfa876e8c, 0xbb37edee, 0x6f29e403, 0x8b58654e}, {0x89edfe5e, 0x450021f8, 0x98d8f213, 0x5d5b9e08, 0x4f691c52, 0xa7660d06, 0xc789d11, 0xf415920a}, {0x5f7f301b, 0xe44928b7, 0x27541ebd, 0x4b1a7305, 0x99e4e0db, 0x18d41b1, 0x36d2ddaf, 0xa3e13c9b}, {0xca9270eb, 0xdfab458e, 0xaa14dc96, 0x53af59d1, 0xfbcf46d9, 0x406895e9, 0x999a6b06, 0xd97a87e0}, {0xe17ae693, 0x32931f2, 0xfd5e489e, 0x65689e49, 0x93070fda, 0xeab9ebb, 0x5a356959, 0x23d0fa03}, {0xfe5a7b2, 0xa36d77ae, 0x4cff8d81, 0xb9650987, 0x3fad0698, 0x2b9b7eef, 0x96184d07, 0x93ec1fda}, {0xf15b8e71, 0x21e6b17c, 0x51157469, 0xf7c45770, 0x440d586a, 0x86c899f6, 0xdedf7a9e, 0x5e9b10f7}, {0x6c929a9c, 0xf813e6e5, 0x4a3027be, 0x22d035b6, 0x120c4044, 0xc1940281, 0xd8511869, 0xe2009b32}, {0x27bb2770, 0xf93a1318, 0x612b1d37, 0x77cb66aa, 0xf897474f, 0xfb4a956a, 0x51a43be9, 0x88abbf08}, {0x5e022d39, 0x9e6329a3, 0xd8afe0f1, 0x4a0b2e6a, 0xbfa54637, 0xd9e44315, 0x3723406f, 0x5e7ac44c}, {0x770d98d8, 0xec1a35d8, 0xd21c15ea, 0x4bbc6608, 0x7fbeb95d, 0xdca0997d, 0x82adf06c, 0x1921714}, {0xecae85da, 0xae07a7af, 0x9ea7a61c, 0x8ace6acd, 0x47d17c7c, 0x44a591fb, 0x9f49e3e9, 0x5d0c4401}, {0xee339318, 0x4f8d207e, 0xc2a756b1, 0xc90d1bd5, 0xfa08da01, 0xa4d9cb, 0x27c06cf4, 0x413d551c}, {0xc71e695b, 0xb9dde8e5, 0xf28f4d12, 0x7d6e499e, 0x5e861273, 0x74994fa2, 0x7105af0b, 0xa04fc1a0}, {0x179987cd, 0x9a7b24d3, 0x5a60c8b0, 0xb65b2850, 0xfe006749, 0xeee2617a, 0x42257b7d, 0xf7606c4c}, {0xd1445514, 0x18bfe676, 0x41b183f7, 0x9c63a41e, 0xdd2d8398, 0x9844fcff, 0xfe8ac4b0, 0xc54b6c76}, {0xe044bcbd, 0x77d17d5c, 0x94c94d27, 0x71f7a3e0, 0x90d7e405, 0xa022290d, 0xb9871f8e, 0xb03c550e}, {0xfdd53cb5, 0x1da83bb5, 0x75b118da, 0xadad195f, 0xe2252b16, 0x48c46a72, 0x9bcf5b4c, 0xa9212805}, {0x20170a6, 0xe465b57c, 0x52bc96d3, 0x68017f58, 0x9486ada9, 0x2dc5c474, 0x86bae124, 0x83d5b4f0}, {0xed05471e, 0x62204c71, 0xec0c6230, 0x67f5fa0c, 0xcb345ed9, 0xe0ac8a53, 0x6ee21f51, 0xc16a44ae}, {0x4443a02a, 0x40e2fb5f, 0x245ebcf3, 0xb1d5d415, 0x280964cc, 0x424a6941, 0x5736642a, 0x15353f45}, {0xdebdaaad, 0x45429da, 0xd5d59ee0, 0x61087e0f, 0x69f220ad, 0x61c198ed, 0x1f63a421, 0x3434f563}, {0x2f48da97, 0x1f30a38, 0x6d4458e5, 0x8feff45a, 0x836d94b5, 0x8ca17c2, 0x1d2c006b, 0xe25dab0a}, {0xdab73fdf, 0x17191bb, 0x36266ff2, 0x6d332b, 0x5f57c258, 0x70d8b703, 0xc8c060ed, 0xcdd11d20}, {0xdfc4c3ba, 0x723a06dd, 0x97439384, 0xd1ab5af2, 0xe0840d82, 0x4c213574, 0xe94b2679, 0x2a088ea5}, {0xaaba9159, 0x59f7bb5a, 0x1a30cb87, 0xa51267e9, 0x83370558, 0x2ab87371, 0x6e6b7f84, 0xdaf2b545}, {0xe7f284ba, 0x19249674, 0x10fa49d, 0xe4104b0, 0x660f2729, 0x3688efa9, 0xdeccc502, 0xe08e6997}, {0x515224a, 0xc3d8ad71, 0x7f51622c, 0x6ff1c572, 0x95788cdc, 0xad0f89d3, 0x19fb67f9, 0xff03b5e1}, {0x195f793d, 0xb0f4b86f, 0xc57636db, 0xb5ad4bd4, 0x863a77f9, 0x67f97c16, 0x5d58c7ae, 0x38d717be}, {0xf9d169d5, 0xc0c943c8, 0xa5290143, 0xb2f6b5f6, 0xde76b84d, 0xa310633, 0x6976c7ce, 0xf18dd688}, {0x3fc1d6eb, 0xe83734f6, 0x701a0f1c, 0xd7d7a8da, 0x46787878, 0x3a62b9cb, 0x432e3976, 0x533b281b}, {0x87bee5a2, 0xa6838eab, 0x692f29d9, 0x28506a2a, 0xdcf44df3, 0x8223d9f3, 0x395e5c81, 0x78dfe222}, {0x608833f0, 0x85fcfeeb, 0x52316f71, 0x492e9236, 0x27801a1e, 0x510278f2, 0x8bbb677a, 0x24d84ac4}, {0x3cf8172b, 0x647467d9, 0x8e179c36, 0xf8a5848b, 0x1870663e, 0x7ddf9489, 0xdd8153ff, 0x1430ae23}, {0x41588311, 0xc590e489, 0xb1d7682c, 0x57094688, 0x8a66372f, 0x41ece33b, 0x338ab1e4, 0xe56bae38}, {0xbbab9e12, 0xbd3c0296, 0xf394bb5c, 0x307f1e05, 0x72a2822f, 0xf53a87d, 0x8077eb20, 0x6226643f}, {0x6bdf361, 0xd3d837db, 0xa22dbba1, 0x25f1a742, 0x5525cb8c, 0x7c8e33ee, 0xed7dfb2e, 0xcda20442}, {0x2dd1787f, 0x265c886e, 0x7abeedd2, 0x46ff9873, 0x17eb1827, 0x32397362, 0xd8cf2525, 0xa83173ae}, {0xcda89243, 0x32d78c43, 0xe60b6abf, 0x62b1c23e, 0xbbbc81bb, 0xe542b3f2, 0xe1ac4b35, 0x2632b681}, {0x46b9ebc2, 0xd9ac2ad7, 0xf95485d3, 0xdc2e87f6, 0x1f3a6680, 0x5c987c70, 0x7335e496, 0x506f897a}, {0x24fe7f7b, 0xd8d9fe8d, 0x2b55a970, 0xa7aca8e7, 0xa2f1c972, 0xec25efb6, 0x7368c851, 0x99685bb}, {0xdbaeb1a1, 0xf6fe20e5, 0x39e5b628, 0x9696a852, 0x2cc892a8, 0xd4605339, 0x3780a4b3, 0x1baa9ff1}, {0xda8dd3cb, 0xc10a5912, 0xb8968564, 0x76fed2bd, 0xcfcacce7, 0x9d48a8d8, 0xf750bed9, 0xdb622c06}, {0x41a0bc54, 0x12d04edb, 0xd1ba3aaf, 0x9300775d, 0x4ccbccc4, 0x6e15358d, 0x4e56e10e, 0x67472005}, {0x52c8fd9c, 0x4f129b8, 0xbef836df, 0xd4de8c66, 0x5129adde, 0x9372ba0f, 0xc99c2450, 0xaf0b1b68}, {0x103de770, 0x97905a73, 0xd0e3395b, 0xa0b5d257, 0x89e4a392, 0x3ec82d14, 0xc492dcdf, 0x7f189c35}, {0x941ce104, 0x41c84605, 0x9060f261, 0xf58ffceb, 0x5efd04f2, 0xa1ed0156, 0xedabb8a1, 0xdc17424f}, {0x1bd92c95, 0x5ade0445, 0x408cbd7a, 0x478d1bcf, 0x80f640f3, 0x9daabc94, 0xe9636561, 0xf4d206b2}, {0xb81a6b45, 0x535d8d92, 0x6c552f07, 0xaff46bf9, 0xbed8c5e4, 0xb92837fd, 0x2bf41008, 0x7229cac8}, {0x32c369bb, 0x34231a56, 0xa782fd0f, 0x2c07c54c, 0xf31aa5ac, 0x4c2a2f97, 0x1b370008, 0x105b75c7}, {0x4a8c8b65, 0xd545be5d, 0x14a38bca, 0xb5ce84bb, 0xa2ceebfb, 0x99bc87d9, 0xf29164c3, 0x51c844c5}, {0x83f5fdf0, 0x6ad71922, 0xaa7ed23f, 0xfc890c3e, 0xfeb59da5, 0x992c6585, 0xf37b9023, 0xbd976721}, {0x9272b162, 0x57906b5, 0x714dd1bf, 0x9fd36020, 0x9de4fc20, 0x369c1117, 0x5d23d171, 0x8e332f8e}, {0x303d4550, 0x761c5ab1, 0xe0bf003e, 0x8e1c375e, 0x431a86f8, 0x2951d463, 0x9448ecb0, 0xdde634aa}, {0x86b2d88a, 0x3a649bcf, 0xb4ea96bd, 0x59968a85, 0x21575843, 0xdcbefe4a, 0xcba9e8c5, 0xc679b687}, {0x57602d03, 0x2aff2c8f, 0x6ad6338a, 0x2d4b74a4, 0xcf76f64e, 0x4cc1f0da, 0x208bb0c4, 0xcc4a0ee5}, {0x554a5838, 0x9c7c8fb3, 0xd56ed0c1, 0x99709bed, 0x722edaf8, 0x890b9cb4, 0x2da862ce, 0xea03aebc}, {0xc6fb8b0d, 0xb909eb0, 0x7e1e5faa, 0x27d5335a, 0x8e6a8f66, 0xfc0f17b4, 0x621b5f94, 0xe09c63f0}, {0x26dcc56d, 0x76e7e288, 0x7ac4d00e, 0xbf30152, 0x94570a12, 0x99777ad5, 0x9431994, 0xb3bed942}, {0xf606196b, 0x3933f90c, 0xaeeb1066, 0xd88c1056, 0xacaa2193, 0x489a3059, 0xa2138cb0, 0xb0e8e1e0}, {0xcf14ceb3, 0x7556fc35, 0x98f75db5, 0x80ea28d6, 0x90f86ce2, 0x9cde7e39, 0xad3f8e8e, 0xcd8b01c3}, {0xa421499a, 0xc3a18837, 0x39a08745, 0x9f3813a6, 0x6b8f73b5, 0x9b1b7154, 0x24684894, 0xe8dfdc46}, {0x3227cb60, 0x8e95f13c, 0xab44ed6f, 0xad2dd16a, 0x326c7115, 0xc11d164e, 0x93e5cdc7, 0xea362457}, {0x8d523464, 0xbf210ed7, 0x633d8adc, 0x2bed6f05, 0x140f4716, 0x67da5445, 0xc5f94e16, 0xb26f2db9}}}; -uint32_t roundConstants256_1_316[316][8] = {{0x9225122f, 0xe843fb39, 0xcab53600, 0x374f66a5, 0x3f9ec470, 0x43204259, 0x1445192a, 0xba213e87}, {0xb1ae4adc, 0xda404bd4, 0xa5e3689b, 0x4f17766d, 0xc19d8f3a, 0xd55fecea, 0x3c7ef07e, 0xb10c2f33}, {0x164b14ac, 0x4d8e6f47, 0x5b4754f3, 0xc4ec5c81, 0xd598ab1b, 0x1a9a81f8, 0x338f9b2f, 0x39e0da53}, {0x3f416a2, 0x61f64129, 0xa675e079, 0x966edc21, 0x74fe5eb5, 0x9d775eb, 0x6c34f02e, 0x2e97523e}, {0x5fa13a37, 0xd61393ec, 0xd8670b10, 0xd958a918, 0xd23b1916, 0xed49ff3c, 0x79476e31, 0xe302e2e2}, {0xfe3c75a9, 0xf257e106, 0x199a8439, 0x825201ec, 0xc89499cc, 0xd3951032, 0xaa4fa978, 0x4d2c3576}, {0xf84cd9df, 0x7c10c995, 0xc0786e9b, 0xefc617a8, 0x38511c73, 0xf667b6ea, 0x58f44fe6, 0x58689497}, {0xd92789e6, 0x37b6ffed, 0x4d42233f, 0x747592fa, 0xc18f916c, 0xa930c20e, 0x3c59c152, 0x48dca6cd}, {0x9cf02af5, 0xf95e8bce, 0x54128dc5, 0x5b3454f4, 0x4e7e53ea, 0x4f6b69a6, 0x688eeadb, 0xc79fea57}, {0xdc8bf1a9, 0x8336c245, 0x391439da, 0xdb23d685, 0x75d73d1e, 0x40ced347, 0xd50abb25, 0x73524197}, {0x4363664a, 0xd5c35f20, 0x524b92ad, 0xdb927333, 0x9364b7b3, 0xe0761501, 0x6b2c7552, 0xc13d1883}, {0xc92ce555, 0x6b0d65e3, 0x554d853, 0xb220ec04, 0x14fb1b3c, 0xdbca5d94, 0x850c72fa, 0x90046b95}, {0x3e0e8b7c, 0x6d90d772, 0x1399e991, 0xa54d3137, 0x1c83f895, 0x72a91c99, 0x4d85d9ef, 0x6fddf31c}, {0x4cbc070d, 0xadc0ad1f, 0xb94ff55a, 0x4812f939, 0x1b926f10, 0x55d7f78, 0xaa5e31f0, 0x9f3da17}, {0x7de3038e, 0xa2644f82, 0xd429e04f, 0x326f023f, 0xced44ecc, 0xe323144d, 0x2533c77, 0x98c2e138}, {0x4409834e, 0x194921a3, 0x59b5b350, 0x82f618f1, 0x40ecab23, 0xd62f5b97, 0x477f5c5f, 0x3b2d700c}, {0x9e612909, 0x653730bb, 0x9aecad12, 0xc32e9b43, 0x6742cbd6, 0x928d3db6, 0xb5914567, 0x870123fc}, {0x89e8fdbf, 0xf6053c4a, 0xc39b59b8, 0x6f77e068, 0x2857e919, 0x50ca55af, 0x68e7755c, 0xc1182606}, {0x3bb9d13e, 0x8de26081, 0x360f1736, 0x7964f2dd, 0xa8c9e1a2, 0x2d724225, 0x1cc94105, 0xf74d2832}, {0x6fbff5e, 0x593b2cb3, 0x6c81ef5f, 0x37fe3cdc, 0x37519b10, 0x23c5e326, 0x74f82650, 0xc275c433}, {0x154483c9, 0x9f433021, 0x1ae78372, 0xe3c3a106, 0xa4d9577c, 0xe8d4359, 0xcfbb8080, 0x9026296c}, {0xfa16bdef, 0x2cc1d561, 0xdfc73f1f, 0xdda68355, 0x6763eea, 0xa5f3926f, 0x2b8c5ebe, 0xf134be15}, {0xbb83cf4f, 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{0xb0778806, 0x47fc132b, 0x78e4be0b, 0x620c709e, 0x8f510c50, 0xf51c5333, 0xe08e15f4, 0x4bfc0b}, {0x5713d636, 0x53f9ada3, 0x5952bd4, 0x17b089c9, 0xa3869cec, 0x24f8c2f, 0x95c5f52c, 0x83936cb4}, {0xeae47c7e, 0x795f6d32, 0xcc6acb91, 0xab949dfa, 0x18be5b01, 0xc8aaf313, 0x32424316, 0xecf03b2e}, {0xba5ca46, 0xf0aca83e, 0x7a36b0f0, 0xea300e0e, 0xe3ef6b7e, 0xd77a0f38, 0xaf042b04, 0xcd6b1b3f}, {0xe59614f6, 0x2a1faa34, 0xb6e096ba, 0xdf460a1a, 0xe653653e, 0xd5432275, 0x53835b89, 0x6e00bf59}, {0x5b4ff7da, 0x45a8b4e1, 0xa1e8f20d, 0x390f3a79, 0xa8fd32f3, 0x8b904b24, 0xd6ac9cc9, 0xc6937100}, {0xd8c00d16, 0x6209f0f3, 0x7bf8e9f5, 0x41e61a49, 0x22be3460, 0x6ddbbcd5, 0xc0cbdcc6, 0x3a7852a4}, {0xdd033501, 0xfd500b83, 0x84b11dde, 0xdbb2099, 0x8c8792d7, 0xb7d73cc, 0x4e196be, 0x5af29d33}, {0x9ec073b4, 0x7d36189b, 0xbc1e7a09, 0x422cd581, 0x6cafd270, 0x7de19e69, 0x2067cd64, 0x4c373467}, {0x2a26c8e, 0x4483ab57, 0xd1a310a8, 0x880209fd, 0xe4b50c05, 0xf15e9218, 0x8c924bb6, 0xead51e15}, {0xdf511552, 0xee2e9df, 0xa0020dc9, 0x59777c35, 0xedb780b3, 0x7eaea35, 0x257e011f, 0x817741a2}, {0x42fce43b, 0xd6e588, 0x5cc1d8c3, 0x7b8afa9a, 0x1fe97702, 0x184522a4, 0x2bf91bcf, 0x71c4c072}, {0xe59bde83, 0xc8e488f5, 0x58b12256, 0xb2359153, 0xdf8c43, 0xddb998b7, 0xbf82dad3, 0xd3fdbf0e}, {0x5956366c, 0x8b9fb04d, 0xe6f0edf9, 0xd78b95c0, 0x65bc4219, 0xf7f04a1f, 0x97aedbe0, 0xf0ee411c}, {0x3bf4b2de, 0x20c8ee0d, 0x9596001e, 0x478e6579, 0x50b3b0a8, 0x8457f0b8, 0xbd7958b7, 0x13d7023d}, {0xe301fc89, 0xb9d1dbd7, 0x67edcd78, 0xa67b883b, 0x2b10d1a9, 0xa6128aa9, 0x9c782aca, 0x9e86d92c}, {0x63207e8c, 0xeeb77b3a, 0x438a479c, 0x53b7721f, 0xe4f7c6e9, 0xcda9b128, 0x932121e, 0x2b6b585a}, {0x60cbd84d, 0xc072f399, 0xc2f03f7b, 0xb962b17d, 0x8526110a, 0x4ea0fe01, 0xdde6215e, 0x514046e2}, {0x3c63b252, 0x7ddbade9, 0xc427752c, 0x7fa881a8, 0x74d19be9, 0x19cd3e0f, 0x68cbc30e, 0x6d6eb357}, {0xc9a7d924, 0xa4accc61, 0x325effe6, 0x3f4cf398, 0x1e6b4d7, 0xa308c78, 0x22f39e4e, 0xa0a4491b}, {0x8662cc4a, 0xfb95ae20, 0x9de21adb, 0x7d75f12e, 0xccfbd920, 0x50fd8835, 0x1ead9e0d, 0xd6dfd583}, {0x8183a98c, 0xa0aac497, 0xf9880393, 0xb4a95446, 0x4cef3543, 0x7e8c2cbb, 0xfe7b0034, 0x30d6986a}, {0x2058aa8, 0x76b563ca, 0x2e8a3ac3, 0x6dd57c24, 0x44284b89, 0x3d822de9, 0xe22322fd, 0xe9b199ea}, {0x4bc113c3, 0x19aa0463, 0x2e18bcd3, 0xb4dd7905, 0x20d0862c, 0xdee552ed, 0x51c859f6, 0xbbf3a251}, {0x8a51d9c8, 0x286519f3, 0xb2dff27a, 0x22249f77, 0x41a5b434, 0x6aadd39b, 0x5136270, 0xbc3e105b}, {0xfc4d8ad2, 0xa3a0fa35, 0x5bf481f2, 0x5264e289, 0xf65831e4, 0x45810e5b, 0xe86cba4a, 0x28caf181}, {0xba01c3e, 0xd92b1a44, 0x8e25f0c9, 0xfc047bbd, 0xd7670cb, 0x1356f05d, 0x4a072fb8, 0x8faabd57}, {0xa9c8a4fa, 0x7f2ab5ac, 0x3d5eda76, 0xb31d178a, 0x91c415b, 0xd862d43, 0xec81b7d, 0x365f070e}, {0xf66402f5, 0x6798f952, 0xc8b4b49f, 0x8a7f488, 0xb8f2c476, 0xc1d266a2, 0x249a85c2, 0x96dd05ea}, {0xaba99c16, 0xe8f205a9, 0xf9818af3, 0x9b54084, 0xe966c4de, 0xecb72bac, 0xc7dae2d1, 0xfbecc734}, {0x32d74c94, 0xe6a1e503, 0x91b27741, 0x1156806f, 0xaddebe5d, 0x944703f8, 0x7811d31d, 0xfd914e8b}, {0x16a4315c, 0xb3ac44e9, 0x77edf545, 0x1891500a, 0x3015221c, 0xd35734a5, 0x325bf206, 0xe942970a}, {0x8a57c3ce, 0x559ad7e4, 0xdcf0e14c, 0x6becb4fa, 0x418b66fc, 0x45e1289c, 0xdf6b7950, 0x3ee222e1}, {0x7b64f55f, 0xbf09bebf, 0x2d0956c1, 0x9150485d, 0xa97ca72f, 0xe1aa85dc, 0xb2238825, 0x897b71bd}, {0x76b90f2b, 0xe2620f10, 0x70cc3e0, 0x719198c5, 0xe7ecb824, 0x9b980fae, 0xfb733043, 0xade468f2}, {0xe645b142, 0x3436e2f, 0x1d2f436, 0x89a7671, 0x41caef45, 0xeb21aed4, 0x62dea264, 0x4c7145e1}, {0xc5938797, 0xcf13b28a, 0x834bc49b, 0xcf1110e, 0x52ac03fc, 0x5d846826, 0xfe9cb673, 0xc97d1080}, {0xc819a535, 0xd98b17bf, 0xb1e5e618, 0x83d6476f, 0x68177f9b, 0x602e2c21, 0xf0976334, 0x1c9e8f43}, {0xb6ec1196, 0xadbe26b0, 0xbe30c33f, 0xf6202942, 0x6763b80f, 0xbfbca9c1, 0xcd7048ca, 0xf4365b60}, {0x18f6d59a, 0x8fde7c1, 0xdedabad0, 0x4973bd1c, 0xde28d40e, 0x8b2e52de, 0xe7393062, 0x8a55bc62}, {0x4b1177ec, 0x275a3922, 0x58a1436b, 0xf8f0ec9c, 0x201357c3, 0x479c9f88, 0x42a9dd69, 0x30315fdd}, {0xf9277068, 0x2da35823, 0x7b4dba53, 0xaa04dce0, 0x4feb7a39, 0x844a6569, 0x63235ba8, 0xac197f5c}, {0xa95861f0, 0x57068446, 0x10035f85, 0xf4b00357, 0x10ec8834, 0xb312b17c, 0xf095cbe9, 0x3ed80223}, {0x988738d3, 0x293aa7c2, 0x2a4b52d7, 0x7652df47, 0x8a3cbd63, 0x1abcfce7, 0x32135554, 0x5cf92fc8}, {0x5fc61c0e, 0xceb43633, 0x802c3ddd, 0x2882d877, 0x441a301a, 0x39839e13, 0x431d348d, 0xd558ac7b}, {0x220fc5b, 0x18303938, 0xc4a3896, 0x7e389b92, 0xfc3f254e, 0x2cd056be, 0x9e87ae51, 0x60c37e91}, {0x8d85416f, 0x138c9427, 0xd9c6e27f, 0x995e2c31, 0x3aac1687, 0xfd4726f4, 0x3d77b820, 0xe52020a1}, {0xc46e8f81, 0x6972f94c, 0x520bae1e, 0x57a5f274, 0xb5b0e325, 0x76783286, 0x9ff72c3a, 0x84abd84c}, {0x70355df9, 0x28960d8f, 0xce887c7b, 0x39e71422, 0xb3dfdacc, 0x7fe811e2, 0x1800871b, 0x29c49064}, {0x492544f3, 0x5ea53c24, 0xbb192261, 0xd83a77d9, 0x8c4a4b1b, 0x157ca72c, 0xb6738023, 0x4aa6db95}, {0xdd00684, 0x7be78b6e, 0xbaf0a1ff, 0x3f2bfd28, 0xe77f90bf, 0xa6298f67, 0x79412f90, 0x9a48d06f}, {0xe1a641c3, 0xd1995a36, 0xbf03ed44, 0xeea9d861, 0x8072b294, 0xf208ff7e, 0x1d53df9f, 0x3ce438bf}, {0xf3d264b9, 0x37e63d51, 0xda2b90fa, 0x64fa604a, 0x5a5307b4, 0xd215515e, 0x495c01da, 0x82dcf212}, {0xfd3a1a29, 0xf430e61e, 0x10f34c36, 0x471c1128, 0x54870370, 0xb4791b5a, 0xa75a1ee2, 0x1ab5fe9e}, {0xea9dec9, 0x5fc35e34, 0x32cbe087, 0x2ceaf778, 0x616451e3, 0xc426e250, 0xaabc9590, 0xf09da9d8}, {0x283c8f65, 0x7f30a3cd, 0x238115c0, 0xe58650b3, 0xd6250105, 0x1c6fcbc5, 0x5f611d5, 0x8c4a5ee}, {0x3c746c87, 0x6a0fa476, 0x9a31d237, 0x51bdbc5f, 0x2670e8cc, 0x9e26b1f3, 0xb6d4e86c, 0xf86e90d}, {0x48eee44, 0x259dc41, 0x8f16d278, 0x314a8471, 0x47dd1241, 0x2d5c7b3a, 0x69f7185c, 0x503ca15b}, {0x181012bb, 0xb253d362, 0x54883d9e, 0x5a659cbf, 0x7c2f1d3f, 0x97945ef6, 0x73ac6fa9, 0xd74a6a72}, {0xf1a0791a, 0x9069b017, 0xd856ed0a, 0x76fd8356, 0x71771982, 0x4f75000c, 0xf8d52adc, 0x5bf274}, {0xe487090c, 0x9a46812f, 0x98064f96, 0x25f40919, 0x2de309b3, 0xd31fb210, 0x8c2dc39f, 0xc12f3523}, {0x95626077, 0xb7ffd9cc, 0xdac97d45, 0x501d4068, 0x91e2c69c, 0x6dc5c4b6, 0x55e69ac6, 0xd04b6e82}, {0x37d4514e, 0xbd195229, 0x49abbf4b, 0xecd12a07, 0x37772153, 0x64ac34e1, 0xb1affa85, 0x90aa61c4}, {0x2bec74cb, 0xdb158948, 0x48fc920c, 0xf49c5d7c, 0xf93af01e, 0xb6493d28, 0x6aedc202, 0x1587384a}, {0x25157356, 0x747957d5, 0xfa4e5551, 0xd010612d, 0x7c89406a, 0x944c7abc, 0x3e17525f, 0x3a8bbed2}, {0xe86f3e16, 0x97b7678b, 0xbea85551, 0x60baaa9e, 0x849e858a, 0x727c9869, 0x9c2af1d6, 0xa1295412}, {0x9f9a9284, 0x5b94b84f, 0x3d377c13, 0x48cd1392, 0xb383c60c, 0xfb33738f, 0xb49eed9f, 0xd79977df}, {0x23a6cb84, 0xc5cafc24, 0xed8ff4c8, 0x711df7d5, 0xe0306817, 0x18c0f0a, 0xfcd33ba7, 0x370237e6}, {0x8076c49d, 0x96d00950, 0x4f56d0cf, 0x62e23bac, 0x63f7da, 0x314d7891, 0x8279db56, 0x6edc878}, {0xa401431, 0xf48156f8, 0x1372e96b, 0xd902f130, 0x2a237110, 0x62f11a40, 0x354dc9e0, 0xfe62c595}, {0x73590f3f, 0x6d21a562, 0x67755d10, 0x53f3d985, 0xeddf0389, 0x564557b0, 0xc756f59b, 0xe3ea9312}, {0xc5dd6af, 0x45e1b08c, 0xf8bada7a, 0x122f3cd, 0x93510400, 0xfb27e2ed, 0xc6d4aa9e, 0xea110025}, {0xb3b36313, 0xb4b196ce, 0xb7d73e70, 0xe855e0e, 0xc5d1d012, 0xae513dd8, 0x9d67563e, 0xd6e9699c}, {0xcf9023af, 0x74ee9a43, 0x597eb1cf, 0xf65bb0b0, 0x4e4a3c75, 0x8e8de080, 0x177f4112, 0x8c2acff7}, {0x260b453d, 0x32d429c1, 0x5d49d209, 0x87d46760, 0xd970cf61, 0x322835e3, 0x41ff4236, 0xa196469a}, {0x5cebb59c, 0xfa72ff63, 0xb30d9f3e, 0x4837f0e3, 0xf0f4f40c, 0xede65ab5, 0xe16a6347, 0x5841830f}, {0xea04824, 0xbdcc3eee, 0xe6f3b96, 0x1226acbe, 0x42ce1b65, 0xd74d74d2, 0xa9912952, 0xaf31c3da}, {0xf1b62f7e, 0xb7aea6fe, 0x60e5ff49, 0x496fff81, 0x1c0860c0, 0xc37c404, 0x4fde773f, 0x35e51ba9}, {0x66fd5f9a, 0x16b4ff2c, 0x7a6c0564, 0x4c672744, 0xf1b64430, 0xc70aa691, 0x87eeb2dd, 0x9aa4797f}, {0xe17f86f8, 0x358ea2da, 0xf4d93e2b, 0xde951534, 0x475832a8, 0x4c553509, 0x346c93fd, 0x7bb9869f}, {0x4ae9fc17, 0xa803e5fe, 0x402309de, 0x92929742, 0xa6c58642, 0x52293a44, 0xecf4a5c9, 0xfb5683e}, {0x3a9ad3ab, 0xe8e92d80, 0xd4863539, 0x101f3065, 0xeb5663e0, 0x81b6b0fa, 0xee85bf3c, 0x60926571}, {0x6f4280e8, 0x733f622c, 0xed31240f, 0x8e1204f, 0x1d3d68c1, 0x4863a3a9, 0x9187a1b5, 0xe05a4afe}, {0xb089b4e, 0x7b16a3a6, 0x10431e5a, 0xe4e7d072, 0x32d8d0d4, 0x7bd22d91, 0x311d0e03, 0x66da4705}, {0x7b2d392, 0xd16a7b43, 0x1f933fd5, 0xc65a417, 0x31a5bfab, 0x59b5b64, 0x6990a4e4, 0xb9b664eb}, {0x9e03d13b, 0x66d20dec, 0xc5187349, 0x9478dd31, 0xaa50e419, 0x30354484, 0x4347da05, 0xdd3d1d42}, {0x81ee87ce, 0x74fdbef2, 0x9b6570b4, 0xa98e7bb6, 0xb706d2c5, 0xf8dec45d, 0x6bf4a95e, 0x5568016b}, {0x98022eda, 0x87f515ca, 0x2657decd, 0x3abb840f, 0x5790905e, 0xb64211ed, 0xa421bdce, 0xb244d5b3}, {0x6114717, 0x6d72ac59, 0xa8126607, 0x99052ba7, 0xc2c6f78, 0x3e644b03, 0xd6ab2957, 0x724891f9}, {0x7ce07b0e, 0xe0947149, 0x5ec5f4e1, 0x9dd399a6, 0x694bcc44, 0xb8cc6b3a, 0x9b6a7004, 0x54cb60ad}, {0x3de9114d, 0xa5d2989, 0xd8ce8d4d, 0x6fd86abb, 0xe99d9eb0, 0x30b5aa27, 0x84fec2a9, 0x9c0f2020}, {0x2fd2c159, 0x5bb90074, 0xf284a21, 0xaa04f303, 0x116df8c7, 0x6342012a, 0x3e62830b, 0xf512366f}, {0xf9d29c4b, 0x46e941a5, 0xe2ce7bcd, 0x65abbd01, 0x98083532, 0xf5937a84, 0xc0b819f7, 0xeffbd131}, {0x63c524f4, 0xb4018a19, 0x7fe535a5, 0x800b033d, 0x5cf71fb0, 0xda25798, 0x43b8b93f, 0xa64e61c1}, {0x985dd1c3, 0x47b2b36d, 0xa096ead3, 0x32681722, 0xd9698ad2, 0x37952cba, 0x482a79e7, 0x1ae65efd}, {0x7bdcaf0, 0x82339fdb, 0x1064d855, 0xaa80be3d, 0x93c6b2be, 0xda2bf80d, 0x1b43bb6c, 0x1d3cbd2c}, {0x842c493e, 0x6c8e1817, 0xda4f9fba, 0x42549c9d, 0x70ad705b, 0xc49c0910, 0xd4ddb9e2, 0x5d01955c}, {0xa3694aef, 0x596fd315, 0x4ef2336d, 0x5b910cb7, 0xde23c4b7, 0x1c56fec0, 0x9338d08, 0x9ae3a216}, {0xfad2f88, 0xa17a29a6, 0x751d9298, 0x8f19a9db, 0xe211604c, 0xd54df05d, 0xa0a4a2d4, 0x40b69bed}, {0x29ec0498, 0xd17626d5, 0x624e0, 0xac0ec345, 0x68067795, 0xf6c0fee5, 0xc8f746c8, 0xa251dfcc}, {0x29984d7b, 0x110358be, 0x1412f157, 0x9aece57e, 0xb5c06923, 0x2bd53966, 0x201ef608, 0x2d7ce3af}, {0x18d9b07, 0xb45ac6ca, 0xe5c43aee, 0x77f39ada, 0xaf3f606c, 0xb01a706c, 0xbc9542fa, 0x635790b3}, {0x5f5f57be, 0xa0426cbe, 0x86d7d96d, 0x43e32ab, 0xb0b4c11a, 0xaafc78d0, 0x410b00e9, 0xeedb18dd}, {0x6f95b486, 0x3012e89d, 0x8b2ee2d5, 0x339d6cf5, 0x7c73370f, 0x98063ae5, 0xda0243dd, 0x2dd584c0}, {0x10c84bb2, 0xd9b3a330, 0x22c4fe57, 0xfe25f91, 0xe34ec837, 0xd3dbc6cf, 0xd32b3157, 0xdf8d7e23}, {0xa44f9b4e, 0xf0390602, 0x614bf427, 0x42b58461, 0xd5303ede, 0x2ad7283b, 0xe67dd05c, 0xc31839d6}, {0x18f26210, 0x12983c60, 0x77a3a91d, 0xa930916, 0x344a6aa8, 0xd4855d01, 0xe12d13bd, 0x389e0880}, {0x22328362, 0x2ee498b8, 0x71aa6834, 0x710ed83f, 0xfe9db44a, 0xd71591b0, 0xe90eaaba, 0x13614a77}, {0x932166ff, 0x1e6d7d0d, 0xdbc44a1d, 0x70358422, 0xf4462891, 0xe99620ca, 0x363a48dc, 0xc69943d3}, {0x2885ce51, 0x5e0eabea, 0x5dd16e39, 0xa54c69f4, 0xe99b5f27, 0x1339531b, 0xbf333b6d, 0xde9a9bf7}}; -uint32_t keyMatrices_256_1_316[317][256][8] = {{{0xbe3a3198, 0x64907d5b, 0x9e58411b, 0xcbb33d, 0x5cb77593, 0x2dd7ef44, 0x99756b84, 0x288ea250}, {0x7b9d8511, 0xe78bdb95, 0x1591cd57, 0x4d846372, 0xcbdf8a63, 0xf7447e9b, 0x64cbc68, 0xebe5d04a}, {0x70e1d528, 0xd847cec0, 0xa571401e, 0xd2fec227, 0x763b8fd, 0x928d7751, 0x8a16d769, 0xbfbd0f38}, {0xa2b391e2, 0x82dc9ef0, 0x6a097ea1, 0xe62f20b, 0xe3013a, 0xf1816ded, 0x1b8c3253, 0xe6cf1427}, {0x282cb3c7, 0xfe8afbcc, 0x60225fbb, 0xaa491d6e, 0x6b848ce0, 0x9999bc73, 0x9cb17e32, 0x6a051291}, {0xc7bfbab3, 0xc9161d12, 0x1234506d, 0x59d80b16, 0x4e52b6d6, 0x5d30479e, 0x9dc639f0, 0xc96ac4f7}, {0x302f3e0d, 0xf3c3521d, 0xa142d551, 0x94e0039e, 0xf69e5f9e, 0x8962f4b7, 0x5479f970, 0x6a3043b}, {0x95a6c785, 0xe66919ce, 0x8d157802, 0x911f1147, 0x6acc23de, 0xa95b0734, 0x7fc0d4ab, 0xf3fa0b05}, {0x2c315055, 0xcb4dbbc2, 0x3f0b0842, 0xb04dd81b, 0x15cd0301, 0x814de46, 0x3e1b4f40, 0xa775743f}, {0x42e62e5a, 0xd8f15704, 0x13342563, 0x20d4f6d8, 0x26845e20, 0x43569bd6, 0xaf17d1bd, 0x8c256429}, {0x845d8700, 0xb6367f7b, 0xa14eca49, 0xd53ef9f5, 0x42a0492c, 0x32926669, 0x86767391, 0x2086406b}, {0x800606dd, 0x18727cab, 0x23b61c2a, 0x562d5933, 0xb75563f8, 0xb2c9dc0b, 0x6902ee2e, 0x1dae0e69}, {0xfdf27559, 0x280b843b, 0x2a12d55a, 0xd6a7fe78, 0x146af759, 0xa9df6a83, 0x37249c95, 0x7449b693}, {0x3e36be94, 0x8b2a0ca8, 0xd54ecd9b, 0x51b7be37, 0xd53a2ab1, 0xb669899a, 0x691ea4c1, 0x652dd9f5}, {0x67960f73, 0x78f402b5, 0x966ac7d5, 0x996dc9df, 0x90901215, 0xea911639, 0x7acd121c, 0x34fcb624}, {0x7667e29a, 0x74258c99, 0x4a83f714, 0x9a800d31, 0x2ad69a0d, 0x60385339, 0x2edc944b, 0xf8e31ff2}, {0xa42a4353, 0x9ce9a107, 0xcd279012, 0x8070f476, 0x8c114a36, 0x6def0cc6, 0xe8e9581c, 0x7cb5bc39}, {0x674bfedc, 0x4500382b, 0x8a44d599, 0x79b452b2, 0x92c29906, 0x70a332c5, 0x447fef9e, 0x2fff274f}, {0xfd4d978a, 0xebd99399, 0x7bde14e, 0x96359bfb, 0x26dcd559, 0x334f3296, 0x2039f7a8, 0xb384159b}, {0xfb3c1e37, 0xad534aaf, 0xfc118eaa, 0xcde0d4a6, 0xe3ed83e, 0x900ef2f1, 0xc47b0ae0, 0x4f67de38}, {0x33563d72, 0xf514459, 0x3b94e03a, 0xd0937ef2, 0xe2ee6984, 0xf5ff07f6, 0xc81a9f1b, 0x61f44ad8}, {0xd6427c7, 0x7f475729, 0x6aab36a7, 0x684ca98b, 0x84dd2113, 0x84102fe9, 0x21718b93, 0xb8446ebc}, {0xdf9e3ecc, 0x49a9329b, 0xcde9286d, 0x8342259, 0x7c4b45e7, 0x40238547, 0x9c347963, 0x8ede7173}, {0x81d6e790, 0x74cb5aff, 0xaec188a, 0x9109b204, 0xfdc87943, 0x7d0567c6, 0x9fe19a84, 0x3ca148c9}, {0x6264b33d, 0xd944edd1, 0x7a0388be, 0x6b84e129, 0xfe78f8c9, 0xfa6c536e, 0x1931378c, 0xff6cab35}, {0x5a460aef, 0x6c690a5c, 0xa3d7647, 0x6e96b3e5, 0xe2bc3348, 0xbce6521b, 0xd55be3da, 0xeaceed3f}, {0x82c3bc8a, 0x4f857313, 0x7275aad6, 0x15040e8e, 0xcb35070d, 0x164095a5, 0x64b2d556, 0xd56611bd}, {0xf2bb0eae, 0x3bab04e7, 0xf7a888d9, 0x4f449544, 0xaf37f2f5, 0xef658bb, 0xb3ddfd50, 0x56eda77d}, {0x8ab555e8, 0x5d35f97d, 0x42a4acb1, 0x7c89360e, 0x57486887, 0x3338ec3e, 0xfa4dd2c6, 0xbb66258f}, {0xbee702b6, 0xc36f63c6, 0x38ea596c, 0x7c516f1a, 0x55f7a894, 0x26b441cd, 0x26b28cc1, 0x7862280f}, {0x2a09fcc, 0xab14f5ea, 0x7dbc94b6, 0x72eed319, 0xa2609978, 0xad617976, 0xda43e8ac, 0x141c80f}, {0x41b512c1, 0x8a54ca6, 0xf043d378, 0xa3fca3b2, 0xd7c4c726, 0x3b7947de, 0x32bf22d7, 0x604cab45}, {0x3796fc5b, 0x87000990, 0x8d98f7bd, 0x6344443f, 0x2d60c7b, 0xc3142379, 0x89871107, 0x852e49c4}, {0x111cbcde, 0x5d325122, 0x1543dddb, 0x43b6e999, 0x20c8a372, 0x416b3715, 0x48805da1, 0xfe06e850}, {0xf93bb026, 0xce74e8f6, 0x5b499ffc, 0x8254d22e, 0xf891827f, 0x9b51748f, 0x14f7b602, 0x32c62fcb}, {0x28abbfa3, 0x6dce6a1a, 0xce04477a, 0xc0fb69b, 0xb420d2e7, 0x1ec7f158, 0x424c29c, 0xb29c59e3}, {0xbc2f4e93, 0x2cf4cfa2, 0xced00d6e, 0xf3737c9d, 0x9f5b2336, 0x365455a3, 0xcee6c7d0, 0xa8a24693}, {0x100461db, 0x16b732e2, 0x685b047f, 0x5d8daf18, 0xded96a15, 0x8606b8df, 0x5b92b884, 0xfc662675}, {0xdab5c04a, 0xc07003cb, 0xd18fb98, 0x234e97fc, 0xf4af611a, 0x53ffd91c, 0x9433cb78, 0x6fba51ea}, {0xa3bcd7d0, 0x4f178627, 0xd1fa4c77, 0xb2bd6a30, 0xa86b8a41, 0xad48d190, 0x3fe24613, 0x8ad056c}, {0x5108dfab, 0x3fe07fef, 0x6102e8fe, 0xdf6c70fb, 0x3f12632f, 0x57bc203f, 0x61a5c193, 0x9bce1ac5}, {0x988231d8, 0xc3199b8a, 0xbefdfd8f, 0x96d52dbc, 0x98a2e1ea, 0xb6955105, 0x88d7a190, 0x5f1dc41}, {0xab8da206, 0xe185c8f0, 0x10ba62e6, 0x694a53fa, 0xab51788, 0xab9a856f, 0xdc9d2769, 0xa5fa23aa}, {0xec311e91, 0x5ab57b83, 0x36ddb534, 0xa957e069, 0x2031fa61, 0xecea20dd, 0x3775cda3, 0x2c32b14c}, {0x29dda545, 0x4b0acbc4, 0x6a26e823, 0x48dac8a1, 0xeb5e1f11, 0x30dd0ac7, 0x66fc1e30, 0x20cf2340}, {0x27111a2, 0x3aaae5bc, 0x6ae174ee, 0x69799698, 0x62a2ae6c, 0x6bd6ffa7, 0xa160f0cc, 0x4257c4c5}, {0x603174fd, 0x6dd00ff0, 0x7aeb1ef6, 0xd8ad2640, 0xdfe22fa7, 0xf1559618, 0xf1c71ead, 0x21c78cf}, {0xa89782e9, 0xc406470c, 0x479731bd, 0x2da39ba0, 0xeca2411c, 0xd1dd474d, 0x8cdaf09d, 0x6d084e6}, {0x3dd6a5eb, 0x52aba853, 0x2e238d1a, 0x172a7954, 0x1462bafa, 0xb5073fc6, 0xb49b000a, 0x84f953ab}, {0x75f1efa1, 0x3fca290, 0x324111b3, 0x6590f715, 0x500fa139, 0x505c6e8d, 0xc972c8f7, 0x26084263}, {0x784ce43a, 0x7848ebfd, 0xf77d095c, 0x8282341f, 0xb0d46e46, 0x4198adfd, 0xd4a0a68b, 0xc9f09ec3}, {0x60efb963, 0xa46d3d86, 0x72e57063, 0xbec36ea7, 0xae10a837, 0x255679d, 0xe9a81c36, 0xb13dbe36}, {0x62dcb887, 0x6e5adf3c, 0x59507728, 0x85bcca45, 0x300d9fb2, 0xe3283e6d, 0xa92839d9, 0x853da182}, {0xd5edf71e, 0xfa688031, 0x4cbe5ce6, 0x208072d7, 0xaeb9227e, 0x5b9d84bf, 0x8caa47ce, 0x2acc86f8}, {0xee9204f0, 0xd31023c6, 0x27706b6d, 0x3628f939, 0x85ce5723, 0xb8498ee4, 0xa81de2e6, 0x5e0a8cf8}, {0xa5ed303a, 0x3a62d5d0, 0x30c9f3a, 0xcdb07f6e, 0xd9808e3b, 0x4ba6428a, 0xbd1c7e86, 0xb2cadf3c}, {0x5ca47923, 0xac1a079f, 0x73593043, 0x56749b74, 0x28c8284f, 0xca4f3f4, 0xafbf3bae, 0x1ab0f050}, {0x5fc370b2, 0x90ce9901, 0x84399a6c, 0x4ab8ee26, 0x8f6897cc, 0xe7d81755, 0x1e5fe23, 0xca09e8d4}, {0x6fff7f8, 0x85e6b72e, 0x59bb8963, 0x5329ae78, 0xef72e783, 0x317803a0, 0x191a1ff0, 0x7b3bb0a0}, {0x72ea76b7, 0x79fbce92, 0x51950c8a, 0xa52c3908, 0x39a91d9c, 0xccd71e37, 0xf5cb815f, 0xb28d6f8f}, {0x91ca8481, 0x63fcc519, 0xbb188b2b, 0xcd3b9aec, 0xc241a603, 0xcf3536c7, 0x2a403453, 0x369f56d1}, {0x81658750, 0x1294f4c9, 0xc482a691, 0xd3385a4c, 0x79393afb, 0x975cc4b1, 0x5525d8d4, 0x6ff67e81}, {0xd87cbd0, 0xa8920c0d, 0x851a31b4, 0x1136acc3, 0x726475c4, 0x4c11acb5, 0xa122a76f, 0x3cc2384c}, {0xce0ede5, 0x665a2567, 0xb83a3bfb, 0x6a80d02, 0x6a7d64ab, 0xd0013892, 0xa47347d5, 0xeb25f1d3}, {0x65ab08fc, 0x9714f625, 0xdf6258bf, 0xa6aeed4b, 0xea745a76, 0x65473eca, 0xed04f51f, 0xdc562c74}, {0xd387cdf1, 0x7b2da561, 0xb289abb4, 0x64cdf525, 0xdde0b17f, 0x6ff5bc38, 0x60963536, 0x4af445f}, {0xa8d8d068, 0x6057d12, 0xc1b71bd5, 0x275f8e0b, 0x78bdcb08, 0x7883faf3, 0xc05e7707, 0x807315b7}, {0xeab3198, 0x96a420c7, 0x47530ad0, 0x36a080c2, 0x3e70afb8, 0x8eaf7934, 0xfabf6455, 0xe456f394}, {0xc0d5074e, 0xc84462ae, 0x55080fe7, 0x90d4fb01, 0x7d627da4, 0x6eee2dd8, 0xa4c5ad5e, 0xebf0a77d}, {0x1a5e5ec0, 0xfb66ea47, 0xff367f92, 0x31da4876, 0xa9dbbb, 0xc4fd5c23, 0x4e43e0ab, 0x3dce3f0d}, {0xc5897fbe, 0xd3f88bf2, 0x943a88b, 0x405e4593, 0xac5aa64f, 0x3f22d3d1, 0x87b53152, 0xd4d89e62}, {0xdb927a9d, 0x7c59b1a5, 0xbb8c9236, 0x6fd126da, 0x2a6eca43, 0x9a9b1a1f, 0x8edd4f6d, 0x437f3dda}, {0x51d0905, 0x309a01be, 0x35b44d6c, 0xb390aae3, 0x3727d612, 0xb72b5234, 0x6ab5b0fa, 0x310b2125}, {0x70ed1ab0, 0xa13b7030, 0x7decccac, 0xa0ddaddb, 0xb2969288, 0x1b4ac267, 0xca4c0c64, 0xb296190b}, {0x7faaa835, 0x3b14a750, 0x133f8dfa, 0xdaf2aae2, 0x52db69c6, 0xcd8a276, 0x9a7599c0, 0xdee3bb1e}, {0xcaedc584, 0x1034fb05, 0x6fd96433, 0xd8a736ba, 0xc75449bb, 0x552a5a71, 0x3e1c4022, 0xd5494e4d}, {0xf3f9655, 0x38471836, 0x600ac060, 0x74384357, 0x5961aa55, 0x3ac176fd, 0x35b103d9, 0xf0e7cf44}, {0xff5b5685, 0x249cc975, 0xfa250e7f, 0x99ade7fe, 0x807a6f89, 0x36e5e3b, 0xe0f217ca, 0xba2fe148}, {0x21ad530e, 0x8bd65fdf, 0x652b1df4, 0x6840e582, 0xe143040b, 0x20c4e3c0, 0x49190930, 0xace18881}, {0x207f17d8, 0x7d636c50, 0xc76170f, 0x2a3a2119, 0x6d0ef166, 0x475e7014, 0x1774e938, 0x596d08e3}, {0x87de9743, 0x23d2af17, 0x450eeef1, 0x86683c2f, 0x26c887f, 0xb18148e8, 0x1a53a999, 0xdf0a4292}, {0x583495fa, 0x50a02818, 0x6ff30195, 0x1d714ac5, 0xa6112887, 0x3210809, 0x7cfd8e27, 0x8ec57e1b}, {0x8f7b404a, 0x99ea087c, 0x8518b13c, 0x77457596, 0xa42d0e73, 0x6a3381e1, 0x68b56e55, 0xc93cba84}, {0xc614e64b, 0x84241054, 0x3d6c177c, 0xb333f103, 0x99593562, 0xc95f085, 0x201482f3, 0xd31cc5c4}, {0x4adc3a40, 0x10a8bbd8, 0xb44bfa2f, 0x2068b241, 0xc9f711b7, 0x9575f3b0, 0x50ca4278, 0x96eda1f1}, {0x6dd28222, 0xac6c2da2, 0xdb90268, 0xe86b0b6c, 0xb8c15db4, 0x439f0237, 0x2ce1a7e9, 0xaaa338f4}, {0x624dc205, 0xa1947c77, 0xa15ef701, 0x68983ba4, 0x6de49daf, 0x37a5e4d5, 0xcaee9aaf, 0xe621b7ce}, {0xf4ce6dd4, 0xe7eaf9fb, 0x51f00973, 0xbe7c1b5, 0xcbf67ea5, 0xfe30f1ef, 0x59f1c739, 0x7e3ed6f3}, {0x28143200, 0x1f92b9c1, 0x2d139ba6, 0x6ace4624, 0x586f3d, 0x60f0fa49, 0x4d17b01d, 0x444bd1e7}, {0x54afb793, 0xa1744836, 0x1378f385, 0xa34d9454, 0x9c637694, 0xa350bc5e, 0xd1a2ebf2, 0x741c06cc}, {0xc5bef650, 0xe422d5fd, 0x60a89b7b, 0xaefd2ae1, 0xd0a3d529, 0x9e0a367b, 0x7b6908c2, 0x7233fe8e}, {0x4dfc329a, 0xcb9a2510, 0x2f48205b, 0xdf3d782, 0x2fe3555f, 0x832cbd93, 0xfed908e2, 0xbf4a3e24}, {0x8e9b67c, 0xe792dabf, 0x9a518b04, 0x15f71d72, 0xab3a6757, 0xdc4ee682, 0x95ab2b6e, 0x3bc38f54}, {0x4541990a, 0x87c2e475, 0x7830224a, 0x1cf9b97, 0xdd53208b, 0x79884b06, 0x9c04a411, 0x3a1f233}, {0xc2ce1795, 0x6c3f18b8, 0xab9a6b3c, 0x435a586e, 0x43dada1b, 0x225ccccd, 0x6be8367b, 0x92ce8d0b}, {0xb19c4904, 0x38a870a8, 0xb1e8425f, 0x3b25e0e5, 0x3d135d5f, 0xcc8abe2, 0x4401b1fc, 0x61297750}, {0xf3d41ddc, 0x509cd872, 0x75dc1115, 0x60c55dc0, 0x1aa9a084, 0x57b0f84, 0xb8fc5121, 0xc73068f0}, {0x28506209, 0xf62b78f5, 0xa187abb2, 0x70612de9, 0x1c6c1bfe, 0x796c585b, 0x4cc4fd53, 0xf5505fb6}, {0x21c2d869, 0x50aa340e, 0xfe70c19e, 0xc5158efd, 0x552d439e, 0xdda5e596, 0x6b0215f7, 0x1d548b77}, {0x28a8f494, 0x598e7a14, 0x3f1bb58c, 0x5af783d6, 0x5850f92, 0x56c1839e, 0x8e9d2b22, 0xc15490ee}, {0x2d770f16, 0x3fa7cf04, 0x29241849, 0x29361d54, 0x43ba651, 0x24e5c4b7, 0x22c52c11, 0x839a8d8c}, {0xb5071118, 0x1b9c9e19, 0xe5bb7331, 0x19640b16, 0xa5014269, 0xd2713216, 0x270c036a, 0xd434a131}, {0x69395c1f, 0x2118974, 0x32e7dd73, 0x67dfa4a0, 0x34ef7196, 0xcc5ff7d4, 0x6bc57857, 0x321c6c34}, {0x1efb712, 0x2597a79, 0x24355804, 0x142578d5, 0x96b4c22e, 0xb87c01f7, 0x851a439c, 0x7e8317e6}, {0xda4a8330, 0xbd1d93b4, 0xfcdd1a4, 0x4e8a5dff, 0x472ecd67, 0xf18bebe7, 0x74bf5443, 0x13e85b45}, {0x2ad231fc, 0x23041814, 0xfca703e8, 0x6c42b3f, 0xf9ca3a0a, 0xc2da3f4b, 0xc3cc85dd, 0xebf4859e}, {0xe5f7b1ea, 0xc469beda, 0xd26c30c3, 0xcdb27000, 0xeab8493d, 0xd558958a, 0x980be175, 0x59500dc5}, {0x1d71080b, 0xa355bb7, 0xb1fc0c6a, 0x474eaa43, 0xded06904, 0x3b01de38, 0x79323448, 0x69bcc85b}, {0xe98b2954, 0xdf99f588, 0x37f8a7c0, 0xe110a51e, 0x5946776b, 0x4dc40c51, 0x980f82f2, 0x775d36fa}, {0xc56200f4, 0xf8f5bbe2, 0xe1217e78, 0xac94060f, 0x8152f1bf, 0x618e5742, 0xcf430353, 0xb507e7e8}, {0x1ff3b2d0, 0x3eb0cda0, 0x9f8fa58d, 0xb71f4c0b, 0x6f61fecd, 0x9df2a573, 0xeb0e08fc, 0xeda7eb05}, {0x73bf2ef, 0x7734fcb, 0xa92eeb29, 0x918e6186, 0x52f1bd69, 0xd717f7a8, 0x5678c22f, 0x7bb7166e}, {0x5b5b886e, 0x1c009e9, 0x33930af, 0xa7999046, 0x836add94, 0x62db0d06, 0x183bf65, 0x1432540d}, {0x2964fe47, 0x5a83a1a5, 0xf0cc9d2f, 0x27fa6d6f, 0xcaf9e6d1, 0xaf3f3c3e, 0x2cafb992, 0x75abe320}, {0x23162cdf, 0xc04175d8, 0xb58cd352, 0xd68c64ab, 0xd34ff339, 0xd4c5ac0d, 0x80fb9d49, 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0xc19c3df9}, {0x4b659a10, 0xd4ec4ecb, 0x2fcd4e1d, 0xd953ec02, 0x721d8bfc, 0x1a27e1f5, 0xe488f870, 0x7e120217}, {0x2afee59f, 0x28ca906c, 0x34997287, 0x116e3b96, 0x773f28f2, 0x168a9b9e, 0xb5edb1bc, 0xe37e4ac6}, {0x7b38f3cf, 0x171f0e38, 0xe7c1c6f6, 0xf0e3fefe, 0x5588b7ff, 0xef7b9657, 0x9a6d1206, 0xc2f63711}, {0x2b24fe0c, 0xabf9d358, 0xfed408a9, 0xbd6d5f16, 0xff3ba6de, 0x535b5241, 0x53cccdbf, 0xabd92463}, {0xe7a14e80, 0x49a7cf4b, 0xc1b02ce9, 0x6380e1c5, 0x8557a5af, 0x544a7df1, 0x41538fe9, 0x384573c3}, {0xb2f10e03, 0xc095bf0f, 0x8294d386, 0xa2441db3, 0x2ed9cf61, 0x322cd405, 0x7b2b550b, 0xf192402d}, {0xfe439cd8, 0x7b0b4d99, 0xb110f0d9, 0x2231f3b3, 0x9eaa0c4b, 0x4d0749b4, 0xac5ef524, 0x3a80d733}, {0x4643f5b4, 0x5da35d2, 0xdc3279ab, 0x5a3b74e1, 0xd72b2ac7, 0x28e22e17, 0x73ca6f5d, 0x2440b104}, {0x9da813ae, 0xcd62ece6, 0x17b5c85b, 0x23bf18a6, 0x568f44, 0x14e5eb21, 0xb2dcc604, 0x5f84fbba}, {0x4695762, 0x5d23b964, 0x11b90a77, 0x20fa7829, 0xbb1fd79c, 0x68068257, 0x703922e1, 0xfe880143}, {0x46b9cd3d, 0x77f68525, 0xf4d09bf3, 0x15fa6647, 0xcc2675, 0xfa390674, 0x7197a97a, 0xd807ea4a}, {0x85bbb2ab, 0x6751a9b4, 0xfd40d2ed, 0x8ff6697d, 0xf8292540, 0x2dc5e109, 0xb35757c6, 0xa79cded4}, {0x263f2c3, 0xeb69d1d1, 0xd262dad1, 0xa85b8bab, 0x1c3588eb, 0xdc869f5, 0x4ee28f0a, 0x93fe851d}, {0x6eb701c1, 0x49f24851, 0xd06dbc84, 0x7cdee0aa, 0xc3abeb4b, 0xf80c1871, 0x1753d722, 0x69449485}, {0x3f4a14a2, 0x3028c25d, 0x9a143ced, 0x3408a897, 0x6998d2df, 0x285df0c7, 0xd25d3d60, 0x3344ca27}, {0x36b1cc03, 0xa80c9ffa, 0x4a82f48, 0x35e5388f, 0x11a8a98b, 0xd77c6e7a, 0x4ee7cd2e, 0x2bd2529f}, {0xc50075df, 0x48e8968b, 0x641885f6, 0x82f50fcd, 0x4972c269, 0x641a7f12, 0x536abcc0, 0xba992d60}, {0xb335d458, 0x5dcff9a4, 0x1e5362cd, 0xf5753daf, 0xab269da3, 0x8855c03e, 0xba524fb, 0xcf04f23a}, {0x107d58fb, 0x36a4e895, 0x4ced39e2, 0x7a8c95d0, 0x6ddf537e, 0xf9bf3449, 0x628b9364, 0xe79510da}, {0xbdf375c, 0x7c440b2f, 0xdcb70daf, 0xe4398be2, 0x74ff9244, 0x861ae8f0, 0x9b7904fd, 0x8a80037a}, {0xf050aab1, 0xbe84964c, 0x6cf53fa1, 0x582e909a, 0x1bf2ff4e, 0x3f913a29, 0x55cdff03, 0xaaf82e1}, {0x2da493dd, 0xbe2b1efc, 0x643fb8f0, 0xaf7763ae, 0x47cd44ed, 0x994bec00, 0x9c9d615a, 0x8e666ffb}, {0xfd842c2b, 0x6e8ae018, 0x61201ae6, 0x60a7f51b, 0x5201dbbc, 0x347690d5, 0x4aa3ca3b, 0xd1c62c10}, {0xb24f4ce7, 0xc70661f3, 0x358d8e1e, 0x4e9ed22b, 0xf76094d0, 0xd1f17083, 0x23a670f9, 0xfcd2563f}, {0xf3a14055, 0x509d934d, 0x405521fc, 0x238a0a65, 0x8567742e, 0x5ebe6104, 0xbb44c6c4, 0x60ed9d9d}, {0x27c531f0, 0xe053e1b6, 0xc077e332, 0xfecf0430, 0x2e1c514a, 0xcd070226, 0xfcf0bac3, 0xc6d5613f}, {0xc17d90c0, 0xde83ebd9, 0x2e05c86c, 0xaeed0f7e, 0xb2273ff3, 0x43cf7615, 0x7d4ff5b7, 0xc9448358}, {0x3871f129, 0x19b6d071, 0xb004785f, 0x5bf1382c, 0x7151dd65, 0x5847c269, 0x26766ebe, 0x472d989}, {0xfcd44155, 0x4ddddfba, 0x1581a39b, 0xfa7dd2be, 0xd1b65778, 0x5fae58b4, 0xd92f87e2, 0x1dab5fa1}, {0xf5b67ff7, 0x7f4119a3, 0xcc3c77d5, 0x679ecfb0, 0xc72ce61, 0x8da979cb, 0x59b44d3f, 0x658ab800}, {0x78904275, 0x55f0203c, 0x74465714, 0x9c9b6f86, 0xe88955cd, 0x93b53c10, 0x2663eeae, 0x79573a08}, {0xc6b6867d, 0x24a14c27, 0x93881d7a, 0xe238ea41, 0x4947f7ff, 0xd8ae4478, 0x6ac9b4b, 0xf8c830b}, {0xe5844bd6, 0xbc1c83c, 0x353ae199, 0x9277d16a, 0x6bfffa57, 0xa6fbf32e, 0x25125cf1, 0xd4870a00}, {0x68e4c4bd, 0x59756936, 0x3bf665fc, 0x811854b7, 0xe56cc91d, 0x8ceab67b, 0x3b7e2741, 0xdbb685a5}, {0x53feca4c, 0x7ad3ac7a, 0xe6e3d61, 0xb3f04519, 0x6266f994, 0x6f28d14f, 0x5b52e244, 0xa3404095}, {0x3aa63bdd, 0x4837f0b5, 0xe378c3d1, 0x821818d1, 0x17d619a, 0x3593c8fb, 0xec8257f4, 0xd2fe9818}, {0xf045de1d, 0xa3d2e2a5, 0x1c106c5d, 0x232f7b85, 0x73a3d80b, 0x6f356dc, 0x1656421d, 0x2add9a1f}, {0xfda5833f, 0xee220fce, 0x251d8bc6, 0x91292d43, 0x2739a96f, 0x3b76fb2, 0x5cd6fb0a, 0xd1c66180}, {0xedc44e67, 0x6c1976d6, 0xea8774f6, 0xf65a85a3, 0xc849325f, 0x53ce512c, 0x9302d65e, 0x2ccb994b}, {0x75bb5c22, 0x10f25690, 0x2f9f57ec, 0x7fed27f2, 0xcf2824f7, 0x932c445b, 0x6f67d461, 0x32797ef7}, {0x31e74ea3, 0x6f9e9ab6, 0x3df5d6ae, 0xe75486e7, 0xaf139507, 0xb4fff77f, 0x87cfba63, 0x26a18391}, {0xd37bdeb3, 0xa214a6bf, 0x742acb11, 0xa250e713, 0xf0e3a974, 0xfec80f5c, 0xb5b1335b, 0xc7b2de8b}, {0xff953f4e, 0x76d60551, 0xe14bb6aa, 0x3c1afec6, 0x1544b7b3, 0xe88bb236, 0x2f3f6fa9, 0xbacd5a5f}, {0x340197fc, 0x99eedcc6, 0xf62f80b7, 0xe8ff40c1, 0x91f7a55f, 0x67272362, 0x86b806e6, 0xb4a497d3}, {0x6df3eea, 0x936a3c58, 0xa0e97ffe, 0xb56dcb45, 0x2eb7ebd6, 0x6e39215b, 0xb1a41586, 0x4eca35a0}, {0xc7748b70, 0x1dd08751, 0x75f9091d, 0xefdbb6f9, 0xddcdba69, 0xf45c9726, 0x37e4ba30, 0xa05c06c7}, {0xd4d07622, 0x1f65929, 0xef3f5f4, 0xbdd8d222, 0x94247e35, 0x941625b5, 0x15df33af, 0x976f716c}, {0x1153dad5, 0x34d14e90, 0x51138d81, 0x874a42ff, 0x6062765f, 0x6e7cc9f0, 0x2ad484f0, 0xe7ab8bad}, {0xf403f413, 0xe449bc67, 0xb3c92606, 0x52b05345, 0x14b5d07f, 0xa4ca185b, 0xd0682451, 0x4bc43186}, {0x68215045, 0x259e32aa, 0x8e00d633, 0xd18aaae0, 0x63af7e44, 0xada30834, 0x4915acc5, 0x18f50c5e}, {0x7da7d952, 0x1182a18a, 0xdc276571, 0x486d7ebf, 0xcb9da07f, 0xfb5e5739, 0x809dfa50, 0xe8938fbe}, {0x5cdd11c8, 0xaed73010, 0x84094dcd, 0xaa664306, 0x6d173751, 0x5d8e1e8c, 0xbbd0c7e7, 0xe885b5f2}, {0xb349bbcb, 0x8ad03364, 0x91a67a1, 0x5fe23ac, 0xecc42106, 0x65d327c9, 0xe60e74c9, 0x37fdb038}, {0x882dac7b, 0x499e4250, 0xd0c0599b, 0x551fbdec, 0x2a1b4f1, 0x5607692d, 0xe579059a, 0x90bd8c33}, {0x1743ff50, 0x722dd0b6, 0x8c189ae1, 0x43e9d537, 0xec242e6f, 0xb639867a, 0xf1da079a, 0xf335be57}, {0xe706e082, 0xf4a35cf5, 0x8a59dc0b, 0xedabd250, 0xeb7d181a, 0x56a4cb70, 0x388405d, 0xaa3a5737}, {0x6b717b67, 0xf0810484, 0x2d19c70a, 0x779c4a3e, 0xeb9eaaad, 0x24bb1300, 0xb5a67ad, 0x8b1a17c7}, {0xc57946, 0xdf42befb, 0x44f2754b, 0xfac5d71, 0x9a31148c, 0x8f848374, 0xb5eb621d, 0xdf9b695c}, {0xb3a88e10, 0x2f9f797a, 0x4a9b638e, 0xd1ac647b, 0x72e6b12a, 0xe29f0a88, 0xd97fd3f4, 0xe328c670}, {0xa55e7c74, 0xc06b6b8d, 0x1b7b1d64, 0xbd60b3d4, 0x99d2cd0f, 0x4c243121, 0x731f432f, 0x3fcac9a2}, {0x53aa3c56, 0x8459f74e, 0x445a9e8f, 0x1d31e7d0, 0x65ef8a26, 0xd03caf36, 0x10ed3e79, 0x7502cc48}, {0x9178fa49, 0x96ef0f66, 0x55ab5241, 0x291cda4e, 0x105c9a33, 0x59723f10, 0x84102c78, 0xb46a3345}, {0xb906f932, 0xdbda5b3b, 0xe5c53955, 0xb43afcae, 0x2723c62, 0xceacc4fc, 0x24b5f78c, 0xa434a9f6}, {0xe913a6d, 0xf3ed9a31, 0xc664c443, 0x83aaae3c, 0x78d2d3a0, 0x30f3c16d, 0xc69a7d57, 0xfa2dbcf7}, {0x4feb8c9f, 0x2ab2bd22, 0x8f24ecaa, 0x67aa166d, 0x326b5598, 0x21e3c1f4, 0xa418c1fd, 0x636dff8b}, {0xdab37c13, 0x99e160b9, 0xf6bb25cd, 0x8591b218, 0xe96c7578, 0xd1dd2fc7, 0x96c91185, 0xcbf6411c}, {0xdba848a5, 0x6c5dd30d, 0x7665877b, 0x7f248a44, 0x6359f50e, 0xfd25bc3b, 0xe01bfc49, 0xb61e4a67}, {0x59b25e6f, 0xe8160eb6, 0x1e8a2b1e, 0x1fce52c5, 0x3f6e05a1, 0x5fe4d34c, 0x31b1c1b0, 0xa78de803}, {0x9c451bd, 0x56ecb3be, 0xcf29f934, 0x6f0d79e7, 0x3fe1b996, 0x9538e5e9, 0x8faa319b, 0x9068f34f}, {0xfe5c6b78, 0x9f8128a4, 0xf34732f5, 0x7c2413d3, 0xcd6d08ca, 0xd41c44d5, 0x919fbe27, 0x6d2c4449}, {0xc6ea6213, 0xe03d9bd6, 0x7d8f5a84, 0xe2eadd45, 0xc43ca6da, 0xc15aec96, 0x79cc1016, 0x6b7ddf6a}}}; diff --git a/src/sig_picnic_msr/matrices_256_42_14.h b/src/sig_picnic_msr/matrices_256_42_14.h deleted file mode 100644 index d3a00e06d..000000000 --- a/src/sig_picnic_msr/matrices_256_42_14.h +++ /dev/null @@ -1,30 +0,0 @@ -uint32_t linearMatrices_256_42_14[14][256][8] = {{{0xc529c37b, 0x220abcbf, 0xbc9b6a25, 0xc104a275, 0xb04ceb9, 0x406e480a, 0x735e0eb3, 0x196a0d2}, {0x616a0696, 0x5da8231c, 0xd82a2236, 0xd47e668e, 0x64f2b778, 0xf131310a, 0x28ffa12b, 0x604222b7}, {0xbaa57cac, 0xfdc4a823, 0xd1b2e527, 0x75dd13ce, 0xfba9b9ac, 0xba65497, 0xc701c2fc, 0x4c4a0796}, {0x27b7440d, 0x1a1b9eb5, 0xa5949af4, 0x67dfb9ef, 0x8121c0e1, 0xeea6caff, 0x26f88a85, 0x952cb089}, {0x8ee98aa, 0x6d1ed111, 0x27505b96, 0x7c39e34b, 0xc1c2171d, 0x9488fbc4, 0x504ec357, 0xc0e73083}, {0x2d2a23b6, 0xcd1cd4a9, 0x5529af37, 0xf4a47fe8, 0x1dd6694a, 0xca1766d9, 0xe5725864, 0xceaced2f}, {0x983650e0, 0xd16d81e4, 0x13590149, 0x759aff9d, 0x917bce55, 0x6cedd63d, 0x3395040e, 0x43796387}, {0xf9bea19d, 0x8f9aad4a, 0xd06ffba0, 0x2cc764d8, 0x6f440e63, 0x8016a43c, 0xbbc535ce, 0x7318680}, {0xebb7915c, 0x6451ef6f, 0x942897cd, 0x437a6f04, 0x4740ee9e, 0xc50a923a, 0xdb0e958b, 0x32bb2c76}, {0xa21a9846, 0xb8b49b38, 0xda9a3210, 0x80cc882f, 0x5925ea26, 0x3d9565b4, 0xdba28c96, 0xb949c380}, {0xc07169a8, 0xdc15cfe5, 0x17ef4266, 0xe4b6e9b3, 0xfe931880, 0x3b073649, 0x8ee6918f, 0x46e786f8}, {0x7beaf210, 0xcf2d6004, 0xa31fab40, 0xaf6120cb, 0xc705de0, 0x60cc0523, 0x4dd8958a, 0x3e1c7315}, {0xf0986394, 0x7ec5dc8c, 0x20748be1, 0x558b087e, 0xdee77aed, 0x5f0c6baa, 0x1c22d1f7, 0x61b4f0f4}, {0xc388dd8d, 0x73de4dba, 0x965e0238, 0xeee5dd64, 0x6e3b2cfc, 0xde317b60, 0xd092c81, 0x8a8d288e}, {0xd3712501, 0x1dab4231, 0xbbcf2d5a, 0xeac36fb, 0xc54acc92, 0xb70dc6fe, 0xf6a871a8, 0x43940d5c}, {0x140639c5, 0x26246fc7, 0xec35c57b, 0x6cf34301, 0xcd07db4e, 0xa7c0dfec, 0x41ec2d2a, 0x8728e36d}, {0x1211b641, 0x277ea875, 0x8c896d3e, 0x4bb71ecb, 0x365ce6c0, 0x8a7483ed, 0x95bf04ce, 0xd0ff44a8}, {0x3634328e, 0xec6af046, 0x46339e9e, 0x4167781a, 0xc656bb08, 0xf34c94eb, 0xedae3fcb, 0x15a5e568}, {0xcaf2b0a3, 0x5b809bae, 0xae4c3e3d, 0x71fbfa3a, 0x73cc212e, 0xb80856c2, 0x7d2b4f92, 0xda70fdd5}, {0x2ed94550, 0x86aec29b, 0x5451a682, 0x699879a9, 0x77b90f47, 0xbc8e4c6, 0xc3a2ca21, 0x6d48fea7}, {0x19402b78, 0xe623a404, 0x8558e04, 0x1edc7740, 0x14fb7f63, 0xbe19c1a8, 0x27682fdb, 0xb27ce136}, {0xa7dad5c9, 0x81dd0000, 0x5f2109c2, 0x1c40f6a1, 0xfbc76389, 0x688ef857, 0x2b4dd47b, 0x98a0508f}, {0x2e191cc3, 0x222b5d58, 0xbc30006c, 0xb00b1d33, 0x474b0afe, 0xab96ecdb, 0xc4125b71, 0x71f81a76}, {0x353964e5, 0xab880afe, 0x1f0d4cff, 0xb14215fa, 0x79ebfe66, 0x8ac4bc2b, 0x8d42884f, 0xc8856f1e}, {0x5216981, 0x4073a043, 0xef872531, 0xb9e72e4, 0x5fcda6d5, 0xcf2576e9, 0x73157aed, 0xfcae8b14}, {0x412ee137, 0xed9dc012, 0xae32e11c, 0x82d903cf, 0xd30f3651, 0x7a13811, 0xaf3ac6ac, 0x9cb09b24}, {0x46924862, 0x78e0a24b, 0xbed8c116, 0xa78cbaea, 0x85eb2e70, 0x508cbd39, 0xa7142efc, 0x19499155}, {0x25c79189, 0xdc2f77b1, 0xd25c9ef8, 0x74c5a3b6, 0x106034e0, 0xc18c7a2a, 0xe6117ebd, 0x95139928}, {0x7b2865ca, 0xe6c02168, 0x46a8bb71, 0x41ec1fc9, 0x4624f598, 0xfa51e8b7, 0xa2a57246, 0xf42a4651}, {0x304b3478, 0x21b84fde, 0xb95e249, 0x539a9831, 0x24c018df, 0x74ace721, 0xa02f88c2, 0xe72fd3f1}, {0xf4d18b67, 0x68e569b2, 0x99636016, 0xda273889, 0x64c1c8a2, 0x6f027eea, 0xc7e5f706, 0x61ae079c}, {0x5948e75d, 0x38ec951b, 0x257ec47e, 0x69f43962, 0xdd7432d5, 0x782c0410, 0x8202d494, 0x509224f9}, {0xab518f38, 0x1c517764, 0x14311c4d, 0x2e24457d, 0x11b9dbd8, 0x260cdd3e, 0x2f071f9d, 0xe0a58495}, {0x9573605, 0xacafcf0, 0xec68f6f0, 0xf0aa3ece, 0x9d2ead3e, 0x1e7cbc22, 0x8b204ab6, 0x2aacbb00}, {0xb0df1c09, 0x1ef2e39d, 0x3bb65edd, 0x6676f72, 0x7844a7c6, 0x8b273eb6, 0x85f53312, 0x7db2bc14}, {0x6692191a, 0x17da253b, 0x43f1790a, 0xf42a891f, 0xf052ca00, 0x45192357, 0x4fbd1b1c, 0x4f72d5c7}, {0xf22ce189, 0x4781e8bc, 0x9a01438e, 0x617ac140, 0x2186e4ab, 0x7775b584, 0x3a6f3abe, 0x73bdbcb8}, {0xf2d265b6, 0xc1a922f0, 0xf2ad8129, 0x18ab34f2, 0x5316828f, 0x1a2c15eb, 0xa4fd1af3, 0x64349554}, {0x6fd5a559, 0x39a141e, 0x2d5d04c3, 0x7bd31ee2, 0x3d88964c, 0x3394e85f, 0xfc2d39f8, 0x5fd2b1f7}, {0x3e215520, 0xa6487c44, 0x83773fc7, 0x9e1dc89a, 0x208f8fac, 0x5de2b3cf, 0xd5a130cc, 0x9cab6a5e}, {0xed4b43e7, 0xd4136c89, 0x6dc0d43b, 0x178ca94e, 0x285559b8, 0x67fbe1a4, 0x3d85aef8, 0xb810165c}, {0x61def68, 0x36e2d33, 0x826c13a1, 0x6b1c3d7b, 0xaa60e556, 0x2b6e58, 0x8ab7a52f, 0x708bd271}, {0xbc6a0270, 0x538604af, 0x63d1ed8a, 0xdb306134, 0x896a3b8d, 0x7f6791a8, 0x6f923473, 0xe4054477}, {0x532cc415, 0xffd64790, 0xbf7a9b9c, 0x5ec0b6e7, 0xd48e943a, 0x57efb95e, 0xe1d4fdd3, 0x2a622dc6}, {0xcf0eb4a4, 0x1e94285b, 0x79fe3ff4, 0x4e836527, 0xe3969550, 0x3eec8db5, 0xda3c6ed1, 0x9f86770a}, {0x48f7bf32, 0x9f81d803, 0x6c215116, 0xe2ba7a20, 0xd13c0b81, 0xa668164b, 0xec4998d1, 0x682434b1}, {0x278f9c5a, 0x4bb10c0, 0x1f88dc4b, 0x5fcfc40c, 0xa0f8b678, 0x474b3d1, 0x1393c277, 0x762f1f47}, {0xabc2182f, 0xbd634b6a, 0xa7961d3d, 0xe74147fa, 0x6a8b40d2, 0x818f5555, 0xe5e672fb, 0x27c102b5}, {0x9278c02f, 0xabe7c82, 0xddb8f06e, 0xe705187e, 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0xb0250198, 0x6f083a0a, 0x413c38c8, 0x7a120183, 0xf202eff4, 0x8dfccc2a, 0xf5646030}, {0x1aa10ffd, 0x130edb8f, 0x8954091b, 0x4690fbef, 0x7b9fbab7, 0xa140ef4f, 0x632bc336, 0xc5bbc1ff}, {0xbaf3279d, 0x7d14ac9d, 0x38691d71, 0x16940ebd, 0x4b2ac9da, 0xe311c407, 0x5852cb83, 0xb7bc26d3}, {0x5be9d1d2, 0xe74d5113, 0xabed1683, 0xd5450d3c, 0x674df5c3, 0xdd9cf189, 0x7d7006ac, 0xc83c06bc}, {0xd2a7a610, 0xa1a3f4a1, 0xbaaf17b3, 0xd0be6e4, 0xe7458531, 0xcc28e053, 0xf0b4fe55, 0x8beecb13}, {0xab4ea26c, 0x2a50888, 0xe726c85f, 0x666514c0, 0x199f495a, 0x7a36b76a, 0x94653527, 0x54f6ae12}, {0xda70d3e3, 0x6c44d44a, 0x8c536187, 0x51a0f093, 0x967d5b13, 0xf79b0bb5, 0xe290edf4, 0xd8ec1528}, {0x2629623b, 0x3e7e5a36, 0xdb28f693, 0x242db2da, 0x52e109ae, 0x458e2007, 0xb57e4f54, 0xe8b7f71d}, {0x4caccd27, 0x433e31bd, 0xd35b45d2, 0x3f47e177, 0x8c1f89f0, 0x710e1c72, 0xf00ce764, 0xb9553a75}, {0xe6470404, 0x97075e17, 0x87192f40, 0xe721d8f3, 0x6b0ab7d3, 0x7f88983d, 0xe3942884, 0x6890b9e9}, {0xa038c0d6, 0x34b3aac0, 0xc09f2935, 0x3340afd0, 0x28ec895f, 0x874408c, 0x47248bf1, 0x870fff2a}, {0x60b8631a, 0x28a23de7, 0x3937f1da, 0x79aae710, 0x168d855f, 0x10b072db, 0x50ab222f, 0x9c742e18}, {0x8c66d0dc, 0x4edd15d9, 0x331d3eae, 0xf720e430, 0x6532764a, 0x6f353bee, 0x23ee61cd, 0x96b3f673}, {0xdab5b6a1, 0xcff86d8d, 0x763d9a97, 0x9aa49cc9, 0xef287511, 0x8efd0059, 0x622f57c0, 0x37b9524e}, {0x21110553, 0x78ba036b, 0x96f7f764, 0xe2c2f559, 0xe02128a4, 0x5325aeff, 0xb46e7736, 0x36c13457}, {0x5fb5e15a, 0x7c581b27, 0x28552cd1, 0xa78c619b, 0x82c1b650, 0xfdc5380c, 0xce1ed8f5, 0x74ac026}, {0xdc007d9c, 0x50d8c2af, 0x58c7aa53, 0xb9b4db29, 0x2bfbbf27, 0xe93bbfcf, 0xf724cb2e, 0x18b6ff84}, {0x2f375a4e, 0xe9f3e3ca, 0xc78970eb, 0xc7d8cd7e, 0xb6457a0c, 0xaca365e7, 0xa335e738, 0xd5065d10}, {0xd8ed3f66, 0xbe4c8d52, 0xd3ae7e69, 0x23ebfc60, 0xbb440e52, 0xb08992bc, 0xe55ebf1b, 0xb680ddca}, {0x8f0c2928, 0x205ae52a, 0x6aec0fe1, 0xd78027fd, 0x39657653, 0x9f3c4302, 0x714e9cb2, 0xbb80a806}, {0xc5099680, 0xb706595b, 0x90e2eac2, 0xbe29a6f1, 0x9e5e5b2a, 0x76e6bdc2, 0xe1ea5d44, 0x9c6de783}, {0x637920b2, 0x4022a824, 0xc7369121, 0x7831896d, 0xc08d32ce, 0xe5f7f687, 0xbb2d53bc, 0xd993700d}, {0x8f724ad8, 0xe16b727b, 0xe92d9f53, 0xcab7eb1f, 0xa82219af, 0xe696f22d, 0x1b702553, 0xdf5bbca8}, {0xf344fd93, 0x1c31de09, 0x65274932, 0xf52a61d9, 0xbd7fad5, 0xcbc95dff, 0x343f1ddb, 0x900d56e2}, {0x8a744dec, 0x789437ed, 0x14195697, 0xfd178c69, 0x3bf287d5, 0xa134b668, 0x6ea48e82, 0x1c2772f5}, {0xe35d9f98, 0x1a3b3a14, 0x667e9789, 0xe1afd599, 0xb4f85000, 0x98bcff1f, 0x9b1ab8, 0x77c87c9c}, {0x992ae733, 0x1f45c394, 0x3e9b0740, 0x9feb959e, 0xf9ed9da2, 0x2b7077f3, 0x6768b426, 0xf50570db}, {0xf26493c2, 0xbf810011, 0xe2e9377, 0x19540829, 0xb87c68df, 0x8e37e67e, 0x9010c334, 0xb9f0364b}, {0x2c09d1ca, 0x4de5b9a3, 0x90653469, 0x56e7c65, 0x857c99bb, 0x82445c9, 0xa9614f6a, 0x719b8eec}, {0x9cfdefdc, 0x2019dbcf, 0x3f2fc480, 0xe0dbed75, 0xf449bcb4, 0xe3909cae, 0xf9e487dc, 0xde27a5de}, {0x9e06e826, 0x12ac45a, 0x857c337e, 0xe5f5ddf4, 0x2749ba3a, 0x293aec7f, 0x93b625d6, 0xc5ad7b73}, {0xc595c95d, 0xac994887, 0x6a98e499, 0x98d7663a, 0xbe9bcb07, 0x751dff3, 0x5e584e52, 0xcf80609f}, {0x6a88ee25, 0x7e883a68, 0x15fe0094, 0x8d9f0b46, 0x3148eba9, 0x820f247a, 0x81f8d933, 0x47a47ca3}, {0xbfa376b3, 0xbedf44a6, 0x8c9930ae, 0x2ed830b2, 0xaa715b0a, 0x3b03ec6e, 0x8b932535, 0x1ccb972d}, {0x9faa9021, 0x129cbedb, 0xa618e985, 0xb6c9f441, 0xd477f76b, 0x6b1db3f, 0x85815819, 0x5d657973}, {0x7c61a2cf, 0x610f17e2, 0xf47ec165, 0x9a0a272b, 0x99e52d16, 0x4224ed15, 0xd6a22900, 0x53d5e53b}, {0x3a6959fd, 0xf4db91c6, 0x871f3717, 0x7aba5ff7, 0x68577717, 0xe60160fd, 0x4e2ff485, 0x8744851}, {0x3e0705a8, 0x566a05c9, 0x7f83672a, 0x2fe771f3, 0x4d53fafa, 0xc5299212, 0x109258a9, 0x6a827df5}, {0xcd884034, 0x618b7e43, 0x4b3ac3a5, 0x7a42128a, 0xc1775c81, 0x4e34d49a, 0xa01c9f34, 0x4bba209d}, {0xa33d0f48, 0x76cb3081, 0xee37b66a, 0xbd6e97d0, 0x1ad71924, 0x6a26b2bc, 0xc0be99f1, 0x11cb2bd5}, {0x44731172, 0x2ffe9ea3, 0x41afb2d, 0xfd73d817, 0x782d700, 0x32126b8b, 0x90102e39, 0x40d92f09}, {0x1b9d70c6, 0x676666c4, 0x36dfd466, 0x4014f000, 0xe72f12ab, 0x736aeeb8, 0x73b977a4, 0xf956c284}, {0xe99263b8, 0x11330289, 0x5e8e1949, 0x752753d3, 0x5fed794d, 0x919848d6, 0xca118a95, 0xdf5eb6be}, {0x25b65c5a, 0x472c4680, 0xa4fc3412, 0xeb58745e, 0x6b39d25d, 0x6888bfe6, 0xade95a75, 0xb88d62b7}, {0x125b3088, 0xabc46df8, 0xaf21aa8f, 0x8d4a6c6a, 0xb0e4f33a, 0xb754c9aa, 0xa947e8d4, 0xadd5430f}, {0x99116beb, 0x4ca7260e, 0x697d8b19, 0xebd1ee30, 0x2f796ca4, 0xa049bc5d, 0x45c9a15a, 0xf41c573a}, {0x8e319fa0, 0x5dbe59ae, 0x17011ddc, 0x97ca40bc, 0x472e67b4, 0xdb6f69d3, 0x6e1f719c, 0x33b3a301}, {0xabfea7d6, 0xa13ed64f, 0x33e20868, 0x7007f549, 0x6f6dd66c, 0x4ea2f1bf, 0x1768593b, 0x83fc1905}, {0xf2153f43, 0xdbe36f93, 0x4441603c, 0x502bb763, 0x29d1acd0, 0xa4ae1d0d, 0xb78dd383, 0x7446f5ef}, {0x55c423a4, 0x3fde938a, 0x83e40d99, 0x5a10725d, 0x35503a77, 0xb6e11d81, 0xbae1c63a, 0xc1150883}, {0xb873587, 0xacf63383, 0x7709b018, 0x8253a68, 0x24866580, 0x89b539a0, 0xfa0e3062, 0xd5268a9a}, {0xc4f5cdc2, 0xdd04d77, 0xc0e4bcdf, 0x5eb4ebf4, 0xb7acf3c4, 0x12bd2b4f, 0x157d6c27, 0x9088cd75}, {0x2a813c71, 0x230845fe, 0x65060315, 0x890f802d, 0x51526473, 0x66f0e27a, 0xf44712c0, 0xe03f9e9e}, {0x430c949f, 0x74193275, 0xeeee4428, 0xa814e717, 0xc9146687, 0x11a98412, 0x1c42f2af, 0xace623bf}, {0x6ee6d6e4, 0xb6ae2a73, 0x7dfde060, 0x158e35a, 0xc922be6b, 0x4e19b1ab, 0x936567ac, 0x47f136d7}, {0x93353cac, 0x76599166, 0xc6602aa7, 0x4d0821f, 0xce9ca7d5, 0x3b7d0d21, 0xad393960, 0xcefe06ce}, {0xa255ae1c, 0x483b3351, 0x5ff45d48, 0xc452d4a9, 0x4ed849bb, 0xeb546829, 0xb9cf69c6, 0x2db0187e}, {0x502df3c1, 0xd4d095a5, 0x74cbd3f2, 0xa3725607, 0xe84bc582, 0xbe4b9f6c, 0x7631f95d, 0xd3531f6d}, {0x320f66a2, 0xe4d1ff4c, 0xe849b8fb, 0x929450cd, 0xa36527b6, 0x4e525efc, 0x9fa91a8d, 0x44168aec}, {0x1d2771f9, 0xba5b2abe, 0xa0a45dd2, 0x4eedc2bb, 0xf155bfac, 0x3306d2e6, 0xc07d56bc, 0x52bcd845}, {0xf0872c79, 0xf100e8f3, 0x9881228f, 0xeb47963e, 0xda937f1b, 0xd8b65c9f, 0x649cd742, 0x33fe3f33}, {0x52ed9405, 0x7bb13182, 0xf43c6460, 0x3f77f65d, 0xb2d0b323, 0xcca2aecb, 0x8fb92e50, 0xd5b73bdc}, {0x4d2098ce, 0x37543cbb, 0x65867343, 0xfc579058, 0xb52517b0, 0x3acdf3d2, 0xbf5a9f5d, 0x3960e5cd}, {0x21fe3558, 0x5816e349, 0xad7aefa, 0x473c12d1, 0xa308ab35, 0x698fc66a, 0x1bdfed5d, 0x6a7ac18a}, {0x9097912e, 0xa24f88e1, 0x9ccb1d88, 0x14867b, 0x9d13e683, 0xc628a5a8, 0xf28c27ee, 0xc2f2a0f0}, {0xd72fd5e2, 0xae78be32, 0xe80b3fda, 0xcc1060bd, 0x41b6e8d3, 0x91c67d6c, 0xff2d0b3d, 0xaf574e73}, {0x8e9c141c, 0xd4af77ab, 0xff2f88fd, 0xf3931be7, 0xab276f29, 0x83d38b31, 0xc3c9f3a5, 0xcb541790}, {0xccea9f5b, 0x945e7e5f, 0xd32c53ec, 0x3dad41b6, 0x40b8fa1, 0x4af8601, 0x9efbfb5c, 0x88b29163}, {0x142c68d2, 0x8aedb249, 0xa8acfcf8, 0xe0bf8d6c, 0x5cb0b1d5, 0x6091212d, 0x23cfce41, 0x64b77d47}, {0x981dae47, 0xccfa65f, 0xe770f884, 0x575b8fde, 0xd0d19ad3, 0x4c3c4b0d, 0xd5a21346, 0x84db8e23}, {0x73a83531, 0xd1f6b3ac, 0x9b0a8abb, 0x4f86c5c4, 0x8f11a0cc, 0xa91eea56, 0xfe4498cd, 0x84dbe935}, {0x6e8718bc, 0x9bf20209, 0xd81b641c, 0x396a8952, 0xf514fba5, 0x533c7f1a, 0x31a5179f, 0xddfed8b1}, {0x68192e99, 0xa89aacd9, 0xa9a7752, 0xc8b30fd, 0x521bf393, 0x23fd1747, 0xdbad4569, 0xffbaa7c5}, {0x7ba86659, 0x25cb4e0c, 0xce485e54, 0x4ee8a160, 0xe838754a, 0xb6f27a64, 0xba6c7a7a, 0x2c02d05c}, {0xfcd29d3e, 0xd18bc34e, 0xa383b9fb, 0x4ed84f5e, 0x3e4b588e, 0x9f345b37, 0x3d4b2a4d, 0x63077740}, {0xfc5f1fa4, 0xe6b2ded6, 0xe85f7164, 0x8f73dfdf, 0x46febac4, 0x2a7d0463, 0x9d8fdd44, 0xbd5d2147}, {0x894b0dbc, 0x47d03894, 0x131985aa, 0x3764ed7d, 0xee55af89, 0x7524ca8b, 0x39cdbde0, 0x4ad4343e}, {0x5ecf0f39, 0xc5f4afde, 0xc4e5e2d, 0x45df644b, 0xd034dc1a, 0xde188b98, 0x2862bf0d, 0x48cf58ff}, {0x2c4979dd, 0x6c1323f, 0xe6129163, 0xdc5a7c96, 0x40cb84eb, 0xcc0349c5, 0x799fba03, 0x44223450}, {0xce8da891, 0xbe2d0cec, 0x6dbaceef, 0x3c717cb5, 0x9b5f332a, 0x54cc1fa3, 0x7711103f, 0x123d9d2b}}}; -uint32_t roundConstants256_42_14[14][8] = {{0xc6ffc97, 0x7f7ccd20, 0x54bfb160, 0x80420cd9, 0x62e53b6a, 0xf80f6873, 0x4de4073b, 0x60e54e62}, {0xc2c379bb, 0xe09d22a5, 0xb27c2137, 0x5e041bfa, 0x7fd46fc6, 0xdc124074, 0xd3a048f8, 0x6be0848f}, {0xd4777533, 0xabba94dd, 0x52a3565d, 0x9768835a, 0x59bfde00, 0xafd46ebb, 0x6ad2cc7c, 0x3c571fc0}, {0x76b314bf, 0x5683c383, 0xad956ca7, 0x60c0f1db, 0xcaeaeabc, 0x7cfbe973, 0x9bcc734b, 0xd1303a84}, {0xa089a881, 0xf03c4df8, 0x8656a639, 0x62bb08b9, 0x8f02e920, 0x6e02736c, 0xfb066f82, 0x218821fc}, {0xc9016242, 0xfa68a4b4, 0xdd128f12, 0xab5acda, 0x5d4082b2, 0x15dc0b58, 0x3b5d187, 0xb20770dc}, {0x1b0c3ea5, 0x39d82b6e, 0x579b7c99, 0xaaf586cb, 0x52d3942f, 0x9e52c890, 0xe389d25c, 0xbbfded72}, {0x22a0dedc, 0x4ab03149, 0xa28ef87e, 0xfacc0219, 0x7918879c, 0x7d3b688e, 0xc0cd2cfd, 0x75e777ce}, {0xbf45e4f4, 0xdb055fb1, 0x199ba04d, 0xe0d41635, 0xab9f52b5, 0x686d389e, 0xaa3381af, 0x7bc95d50}, {0x835d26a5, 0xe18a06b4, 0xb4d221ad, 0x54205dff, 0x9d00f602, 0xad5281a3, 0x5854e09, 0x768676d0}, {0x52726fe7, 0xbb9c89c0, 0x6cbcb22e, 0x2ce2eda6, 0x961aef7a, 0x73647c21, 0xa950565, 0xf224db4e}, {0xca835a14, 0xaf2b8a7f, 0x41d527f1, 0x6c70a855, 0xf5273563, 0xf35fbf56, 0x9f70ee74, 0xb21d02c2}, {0x13f278f0, 0xbc8f2dec, 0x9ec33633, 0x60984a31, 0xad9ff8b6, 0xcd453532, 0x8879e538, 0x60ee66cf}, {0x7744748f, 0x28597d3e, 0xc0f27b33, 0x3b93581, 0x52fcc89a, 0x495075d7, 0x2f3a068, 0x808d3b4e}}; -uint32_t keyMatrices_256_42_14[15][256][8] = {{{0x9aac4a15, 0xc9f8234d, 0xcb7332dc, 0x3098fea2, 0x1d661e49, 0x859fb66, 0xb1b115a1, 0x54d92bd4}, {0x8ee0a7b6, 0x869bfc20, 0x4f6c22ec, 0xdb8c212a, 0x95dfd25a, 0xf449466a, 0x9869a29, 0xae1ed24b}, {0x179e860a, 0xf51befe7, 0x246becf3, 0xa6c6e569, 0xf4ff8e85, 0xd484135, 0x1b1c0019, 0xab73d9ec}, {0x1e27acaa, 0xaeca049b, 0x2c8a4d60, 0xb0d3922f, 0x9783aa53, 0x7ff732f7, 0xa3548124, 0xfe2f729}, {0xb96f421, 0x7e038027, 0x8e388ce6, 0x914ef4b8, 0x82139b4e, 0xe53a5498, 0xd7eeb91d, 0x1b2b1739}, {0x122dcb9, 0x2cc36741, 0x780c7dde, 0xcc1a6b55, 0x2f5010c6, 0xf286dde7, 0xf2fd0bc, 0xcc901f06}, {0xd7e58487, 0x7384edce, 0x816b5dd3, 0xd12224b8, 0x96fe1e0d, 0xc6199377, 0xcf06d2c1, 0x730040ff}, {0xa2b35076, 0xc84ec116, 0xc7971660, 0xf3d81810, 0x531a0416, 0x85397944, 0xf6fa85dd, 0x3af53e2c}, {0xcbc04711, 0xf87b3e9c, 0x9251c5dd, 0x82446d49, 0x20a5fe8b, 0x1ba2d199, 0x772edd7e, 0x9209a9e2}, {0x879f8a88, 0x9fdd288c, 0xa16807c7, 0x1b58f2b6, 0x26e1e6a0, 0xfc118e9c, 0xd2e46b4b, 0x41f2a98e}, {0x3c2dabea, 0x811142b9, 0xccfee715, 0xe2863fb, 0xe198739b, 0xb3f6b4d8, 0x29bb8f0b, 0x50e8d191}, {0x4e0a517a, 0x96431ca0, 0x359d9421, 0xe7f80889, 0xae4890eb, 0xc242b862, 0x4c510919, 0x74124734}, {0xbaec3b09, 0xbe5d6f3c, 0x50057804, 0x954b9b96, 0x61738dec, 0x8dbb0082, 0x1deb836d, 0xf64aea48}, {0x72eb583b, 0xabbef830, 0xde522d24, 0xc63eecf8, 0xc1e03a51, 0x8ef89f9f, 0x672a18af, 0x582c9a38}, {0x5ba6774e, 0xf8269ab2, 0x4d30423d, 0xbf067094, 0xc6dcd066, 0x6c4c71b9, 0x23bc34c, 0xbb39077d}, {0xc0cc395e, 0x3bff8e86, 0x11e063e6, 0xd732ece9, 0x2e0d4d53, 0x8d221307, 0xe35fd58d, 0x582c83a5}, {0xb58b1d3a, 0x1e5261a2, 0x9bac3189, 0x9c853370, 0x4f4cdc6e, 0x84475a21, 0x1d61251f, 0x3410bf7d}, {0xacf6af0d, 0x70e963b3, 0x21b3a9dc, 0x7a11e2f0, 0xeb75b891, 0x3b7d5715, 0x6b34a0c, 0x63305e03}, {0xb9819ca4, 0x3aa6cd7c, 0x5434e061, 0xf18f5ec0, 0x383f7100, 0x51a8aac8, 0x6fb5596f, 0x1be61934}, {0xe71cb0ec, 0xf5c60f70, 0x72b1e024, 0xb03fd147, 0x4d9644c, 0x34a71be, 0x6fbd7b76, 0x5502b7d3}, {0xbb12d75a, 0x38959c6c, 0x52fd38f4, 0x9bf78e1, 0x39e63f5b, 0x1345efff, 0xa30b0052, 0x423b8bbf}, {0xf70329b5, 0x94e2c07b, 0xe0488b98, 0x812a6623, 0xfd1b94bc, 0x2afe04e, 0x9a4d9960, 0xefbf865f}, {0xbd9e0ca, 0xbb18e4a1, 0xe49b48b4, 0x87f777fc, 0x5db87400, 0x3b6b46eb, 0x25a891e1, 0xbc9821df}, {0xf81f87fe, 0x476fa351, 0xc930be19, 0x70f326d6, 0x8f6dbc8b, 0xee353ca0, 0xfa80f61d, 0x9b38492}, {0x203f012c, 0x6361433b, 0x5f7c76f2, 0xa4c7e99f, 0xca049893, 0xfe77b1b9, 0xc14443c1, 0x5466d9c6}, {0xe6dca387, 0xf56757c0, 0x1eb6dd4d, 0x8854b4b3, 0xf77a4591, 0xe6c97781, 0x87cdae0a, 0xf0181cf}, {0xc9e20890, 0x21f0e9f5, 0xeb3f390a, 0x47816475, 0x2efc0b14, 0x387ec601, 0x69d9a6aa, 0x5046687}, {0x6b2a6de3, 0xffd2fc5d, 0xd3fa9249, 0x842e5674, 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{0x4d9c5832, 0xff58923f, 0xdef5f66e, 0x88cf2161, 0xb66f20c1, 0xb4e5158c, 0xeaf7117b, 0x6aad83fb}, {0x6f8518d5, 0x4bf823de, 0x2548229b, 0x1d4dd7f1, 0xd225367a, 0xa965541b, 0x2aa3c51e, 0x7fd8e439}, {0xf4f5b205, 0x8da0a893, 0xf777dd15, 0x3c2dc0, 0xd7b21146, 0xaf4a1912, 0xdeee3f3e, 0x85ce7147}, {0x36e084e8, 0x2980d3e8, 0xf25c7e8d, 0x91a71709, 0xe3af5019, 0xf10ca13, 0x28d37b2, 0xcbf778ab}, {0xfe9235ba, 0xf6e88c59, 0x107ffb37, 0xf8e0b28a, 0x5683f548, 0xece2832b, 0x393406fb, 0xe263435f}, {0x2096c631, 0x1a0f63a0, 0xdc051ca0, 0x6f2766fa, 0xdc94219a, 0x825e41f0, 0x69cfea21, 0xae42d890}, {0xc01a7ce0, 0xc4d2bb82, 0xd265672f, 0x494f4fb7, 0x28bf7c63, 0x84193c4, 0xda9b85ac, 0x1ebab54}, {0x6611274c, 0x91771c7, 0x20ed127d, 0xc8d646f, 0x55608cef, 0x3495234f, 0xa71a0fc, 0x962dccea}, {0x9df35656, 0x3076ccd8, 0x6a12e0d1, 0x2e1c3b4b, 0x31ef4e47, 0x789a7dfb, 0xaa395ca0, 0x4b1a0e0c}, {0xba801024, 0x8e07c4ef, 0xcfc8e314, 0x46e3ead7, 0x79fc8f3f, 0x6f1f1397, 0x333c2c2f, 0x7591f064}, {0xba42afbd, 0x8bc14ef5, 0xb9c0bb12, 0xbfee3000, 0x89c012d8, 0xd3a51700, 0xde228243, 0xfa5cb9e5}, {0x511f23df, 0x931434ee, 0xbcc9cf4f, 0x1953f2de, 0xa08de484, 0x7f22029e, 0xba2acced, 0x9b71b54f}, {0xc625cb28, 0xc71cd590, 0xf54bf5, 0xa0da63c7, 0x2d058b6a, 0x270b2db8, 0x410229df, 0xc99eae21}, {0xf4076ec3, 0x2489c148, 0x661626d0, 0xad85f8db, 0xed7f338e, 0xad7a4222, 0xaf0e8156, 0x187edc4e}, {0x8b50ad70, 0x1a7b160b, 0x92b1a7c7, 0x8891a5bd, 0x6653f8df, 0x25fb2a99, 0x9066e445, 0x241c51c8}, {0x181d199c, 0xcc7eed4e, 0xe5e186d4, 0x7880687b, 0x4a804bbc, 0x89c6be1e, 0x788c707, 0x3b02b13b}, {0xb349d16b, 0x6e881ba0, 0x652b565a, 0x92095a14, 0x94b23525, 0xc6bcb457, 0xf47315b7, 0x21cc19fb}, {0x6e9bb4d4, 0xb8e48413, 0x6d1f780e, 0x6707130a, 0x6ea11d90, 0xbb52a83f, 0xe3b14b4d, 0x7392f2d2}, {0xb96aa5f5, 0x53340ab, 0x8b9cbbd8, 0xf9dc4394, 0x3cdf58a2, 0x80353c78, 0x1ac6e333, 0x50e4d32b}, {0x29b09de, 0x1e2207d2, 0xdab83afa, 0x3d9106dc, 0x5ab5dc82, 0xeb1a7ca3, 0x7cf3c3f2, 0xee2fc2d}, {0xfb9cee5a, 0x5b74223f, 0x9361005, 0xd61724c4, 0x958ff318, 0x6e82d7d0, 0x21321083, 0x3e2bbd38}, {0x54a0cdc1, 0x9b3d8e5b, 0xac9dcb3a, 0xcc218c5f, 0x788aa7b5, 0xc43841cc, 0x564cd224, 0xc60ca8fb}, {0xad61db4f, 0xe96f4c3, 0x6ac98224, 0x9336d1e3, 0x2ac5ec5b, 0x5749dee8, 0x48332974, 0xba1633a7}, {0xba3e83ae, 0x9d559121, 0xd6905228, 0xdd9f4fa5, 0x913eb193, 0x10292f5d, 0xa68bc44, 0x613fd192}, {0xc89ab5b0, 0x2c1fbf86, 0x911ff093, 0x68595b11, 0xfc856460, 0xdc525031, 0x5ffe8b5, 0xd1c35233}, {0xf5c03b0, 0x74ba3865, 0xbe4ee0ad, 0x89ec2b7b, 0xd2a769b8, 0x10ddec5a, 0x37c54391, 0xd5659b55}, {0x2a59c170, 0x20ffcfa1, 0x94ec20f, 0x7ca2da4e, 0x5ac8824d, 0x57f09611, 0x13043557, 0x69af88aa}, {0x94b64b00, 0x284017a6, 0x1de212d1, 0x3091c89a, 0x3b9ce780, 0xc8b4b151, 0x2d8a45b3, 0xc03fe72a}, {0x52d462e0, 0x7c4a18b4, 0xde0d702f, 0xfa6843bd, 0x4270dcba, 0x698c59cc, 0x8afdf5ec, 0x29c91c17}}}; diff --git a/src/sig_picnic_msr/picnic.c b/src/sig_picnic_msr/picnic.c deleted file mode 100644 index 150e5558c..000000000 --- a/src/sig_picnic_msr/picnic.c +++ /dev/null @@ -1,467 +0,0 @@ -/*! @file picnic.c - * @brief Implementation of the Picnic signature API - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ - -#include -#include -#include -#include "LowMCEnc.h" -#include "LowMC.h" -#include "picnic.h" -#include "platform.h" - -static int g_initialized = 0; - -#define ENSURE_LIBRARY_INITIALIZED() \ - if (!g_initialized) { \ - printf("Library not initialized\n"); \ - return -1; \ - } - -static int is_valid_params(picnic_params_t params) { - if (params > 0 && params < PARAMETER_SET_MAX_INDEX) { - return 1; - } - - return 0; -} - -transform_t get_transform(picnic_params_t parameters) { - switch (parameters) { - case LowMC_256_256_42_14_FS: - case LowMC_256_256_1_316_FS: - case LowMC_256_256_10_38_FS: - return TRANSFORM_FS; - case LowMC_256_256_42_14_UR: - case LowMC_256_256_1_316_UR: - case LowMC_256_256_10_38_UR: - return TRANSFORM_UR; - - default: - return TRANSFORM_INVALID; - } -} - -const char *picnic_get_param_name(picnic_params_t parameters) { - switch (parameters) { - case LowMC_256_256_42_14_FS: - return "LowMC_256_256_42_14_FS"; - case LowMC_256_256_1_316_FS: - return "LowMC_256_256_1_316_FS"; - case LowMC_256_256_10_38_FS: - return "LowMC_256_256_10_38_FS"; - case LowMC_256_256_42_14_UR: - return "LowMC_256_256_42_14_UR"; - case LowMC_256_256_1_316_UR: - return "LowMC_256_256_1_316_UR"; - case LowMC_256_256_10_38_UR: - return "LowMC_256_256_10_38_UR"; - - default: - return "Unknown parameter set"; - } -} - -int picnicParamsToLowMCParams(picnic_params_t picnicParams, lowmcparams_t *lowmcParams) { - memset(lowmcParams, 0, sizeof(lowmcparams_t)); - - switch (picnicParams) { - case LowMC_256_256_42_14_FS: - lowmcParams->stateSizeBytes = 32; - lowmcParams->numSboxes = 42; - lowmcParams->numRounds = 14; - lowmcParams->numAndBytes = numBytes(lowmcParams->numSboxes * 3 * lowmcParams->numRounds); - break; - case LowMC_256_256_42_14_UR: - lowmcParams->stateSizeBytes = 32; - lowmcParams->numSboxes = 42; - lowmcParams->numRounds = 14; - lowmcParams->numAndBytes = numBytes(lowmcParams->numSboxes * 3 * lowmcParams->numRounds); - lowmcParams->UnruhGWithoutInputBytes = PRG_SEED_LENGTH + lowmcParams->numAndBytes; - lowmcParams->UnruhGWithInputBytes = lowmcParams->UnruhGWithoutInputBytes + lowmcParams->stateSizeBytes; - break; - case LowMC_256_256_1_316_FS: - lowmcParams->stateSizeBytes = 32; - lowmcParams->numSboxes = 1; - lowmcParams->numRounds = 316; - lowmcParams->numAndBytes = numBytes(lowmcParams->numSboxes * 3 * lowmcParams->numRounds); - break; - case LowMC_256_256_1_316_UR: - lowmcParams->stateSizeBytes = 32; - lowmcParams->numSboxes = 1; - lowmcParams->numRounds = 316; - lowmcParams->numAndBytes = numBytes(lowmcParams->numSboxes * 3 * lowmcParams->numRounds); - lowmcParams->UnruhGWithoutInputBytes = PRG_SEED_LENGTH + lowmcParams->numAndBytes; - lowmcParams->UnruhGWithInputBytes = lowmcParams->UnruhGWithoutInputBytes + lowmcParams->stateSizeBytes; - break; - case LowMC_256_256_10_38_FS: - lowmcParams->stateSizeBytes = 32; - lowmcParams->numSboxes = 10; - lowmcParams->numRounds = 38; - lowmcParams->numAndBytes = numBytes(lowmcParams->numSboxes * 3 * lowmcParams->numRounds); - break; - case LowMC_256_256_10_38_UR: - lowmcParams->stateSizeBytes = 32; - lowmcParams->numSboxes = 10; - lowmcParams->numRounds = 38; - lowmcParams->numAndBytes = numBytes(lowmcParams->numSboxes * 3 * lowmcParams->numRounds); - lowmcParams->UnruhGWithoutInputBytes = PRG_SEED_LENGTH + lowmcParams->numAndBytes; - lowmcParams->UnruhGWithInputBytes = lowmcParams->UnruhGWithoutInputBytes + lowmcParams->stateSizeBytes; - break; - default: - fprintf(stderr, "%s: Unsupported LowMC parameter set (%d). \n", __func__, picnicParams); - return -1; - } - - lowmcParams->stateSizeBits = lowmcParams->stateSizeBytes * 8; - lowmcParams->stateSizeWords = lowmcParams->stateSizeBits / WORD_SIZE_BITS; - return EXIT_SUCCESS; -} - -int picnic_init(picnic_params_t params, const char *path, unsigned int flags) { - /* NOTE: Not threadsafe, init_EVP may end up being called multiple times. - * and readLookupTables will leak if called multiple times. */ - if (!g_initialized) { - - /* Do not initialize OpenSSL when flags == 1 */ - if (flags == 0) { - init_EVP(); - } - - lowmcparams_t lowmcparams; - - int ret = picnicParamsToLowMCParams(params, &lowmcparams); - if (ret != EXIT_SUCCESS) { - return ret; - } - - ret = readLookupTables(&lowmcparams, path); - if (ret != 0) { - return ret; - } - - g_initialized = 1; - } - - return 0; -} - -void picnic_shutdown(unsigned int flags) { - if (g_initialized) { - - /* Do not shutdown OpenSSL when flags == 1 */ - if (flags == 0) { - cleanup_EVP(); - } - freeLookupTables(); - g_initialized = 0; - } -} - -int picnic_keygen(picnic_params_t parameters, picnic_publickey_t *pk, - picnic_privatekey_t *sk) { - ENSURE_LIBRARY_INITIALIZED(); - - if (!is_valid_params(parameters)) { - printf("Invalid parameter set\n"); - return -1; - } - - if (pk == NULL) { - printf("public key is NULL\n"); - return -1; - } - - if (sk == NULL) { - printf("private key is NULL\n"); - return -1; - } - - memset(pk, 0x00, sizeof(picnic_publickey_t)); - memset(sk, 0x00, sizeof(picnic_privatekey_t)); - - lowmcparams_t lowmcparams; - int ret = picnicParamsToLowMCParams(parameters, &lowmcparams); - if (ret != EXIT_SUCCESS) { - fprintf(stderr, "Failed to initialize LowMC parameters\n"); - fflush(stderr); - return ret; - } - - /* Generate a private key */ - sk->params = parameters; - if (!picnic_random_bytes(sk->data, lowmcparams.stateSizeBytes)) { - printf("Failed to generate private key\n"); - return -1; - } - - /* Generate a random plaintext block */ - pk->params = parameters; - if (!picnic_random_bytes(pk->pubInput, lowmcparams.stateSizeBytes)) { - printf("Failed to generate private key\n"); - return -1; - } - sk->pk = pk; - - /* Compute the ciphertext */ - LowMCEnc((uint32_t *) pk->pubInput, (uint32_t *) pk->ciphertext, - (uint32_t *) sk->data, &lowmcparams); - - return 0; -} - -int picnic_sign(picnic_privatekey_t *sk, const uint8_t *message, size_t message_len, - uint8_t *signature, size_t *signature_len) { - ENSURE_LIBRARY_INITIALIZED(); - - int ret; - transform_t transform = get_transform(sk->params); - signature_t *sig = (signature_t *) malloc(sizeof(signature_t)); - lowmcparams_t lowmcparams; - - ret = picnicParamsToLowMCParams(sk->params, &lowmcparams); - if (ret != EXIT_SUCCESS) { - fprintf(stderr, "Failed to initialize LowMC parameters\n"); - fflush(stderr); - freeSignature(sig); - free(sig); - return ret; - } - - allocateSignature(sig, &lowmcparams); - if (sig == NULL) { - return -1; - } - - ret = sign((uint32_t *) sk->data, (uint32_t *) sk->pk->ciphertext, (uint32_t *) sk->pk->pubInput, message, - message_len, sig, transform, &lowmcparams); - if (ret != EXIT_SUCCESS) { - fprintf(stderr, "Failed to create signature\n"); - fflush(stderr); - freeSignature(sig); - free(sig); - return -1; - } - -#if 0 - // self-check for debugging, try to verify the sig we just created - ret = verify(sig, (uint32_t*)sk->pk->ciphertext, (uint32_t*)sk->pk->pubInput, message, message_len, transform, lowmcparams); - if (ret != EXIT_SUCCESS) { - fprintf(stderr, "Failed self-test, signature didn't verify.\n"); - fflush(stderr); - } -#endif - - ret = serializeSignature(sig, signature, *signature_len, transform, &lowmcparams); - if (ret == -1) { - fprintf(stderr, "Failed to serialize signature\n"); - fflush(stderr); - freeSignature(sig); - free(sig); - return -1; - } - *signature_len = ret; - freeSignature(sig); - free(sig); - return 0; -} - -size_t picnic_signature_size(picnic_params_t parameters) { - - lowmcparams_t lowmcparams; - transform_t transform = get_transform(parameters); - - int ret = picnicParamsToLowMCParams(parameters, &lowmcparams); - - if (ret != EXIT_SUCCESS) { - return PICNIC_MAX_SIGNATURE_SIZE; - } - - switch (transform) { - case TRANSFORM_FS: - // This is the largest possible FS signature size and would result when no challenges are 0 -- which would require us to include stateSizeBytes for every ZKB round. - return NUM_ZKB_ROUNDS * (SHA256_DIGEST_LENGTH + lowmcparams.stateSizeBytes + numBytes(3 * lowmcparams.numSboxes * lowmcparams.numRounds) + 2 * PRG_SEED_LENGTH) + numBytes(2 * NUM_ZKB_ROUNDS); - case TRANSFORM_UR: - return NUM_ZKB_ROUNDS * (SHA256_DIGEST_LENGTH + lowmcparams.stateSizeBytes + 2 * numBytes(3 * lowmcparams.numSboxes * lowmcparams.numRounds) + 3 * PRG_SEED_LENGTH) + numBytes(2 * NUM_ZKB_ROUNDS); - default: - return PICNIC_MAX_SIGNATURE_SIZE; - } -} - -int picnic_verify(picnic_publickey_t *pk, const uint8_t *message, size_t message_len, - const uint8_t *signature, size_t signature_len) { - ENSURE_LIBRARY_INITIALIZED(); - int ret; - - lowmcparams_t lowmcparams; - ret = picnicParamsToLowMCParams(pk->params, &lowmcparams); - if (ret != EXIT_SUCCESS) { - fprintf(stderr, "Failed to initialize LowMC parameters\n"); - fflush(stderr); - return -1; - } - - transform_t transform = get_transform(pk->params); - signature_t *sig = (signature_t *) malloc(sizeof(signature_t)); - allocateSignature(sig, &lowmcparams); - if (sig == NULL) { - return -1; - } - - ret = deserializeSignature(sig, signature, signature_len, transform, &lowmcparams); - if (ret != EXIT_SUCCESS) { - fprintf(stderr, "Failed to deserialize signature\n"); - fflush(stderr); - freeSignature(sig); - free(sig); - return -1; - } - - ret = verify(sig, (uint32_t *) pk->ciphertext, - (uint32_t *) pk->pubInput, message, message_len, transform, &lowmcparams); - if (ret != EXIT_SUCCESS) { - /* Signature is invalid, or verify function failed */ - freeSignature(sig); - free(sig); - return -1; - } - - freeSignature(sig); - free(sig); - return 0; -} - -/* Serialize public key */ -int picnic_write_public_key(const picnic_publickey_t *key, uint8_t *buf, size_t buflen) { - if (key == NULL || buf == NULL) { - return -1; - } - - size_t bytesRequired = 1 + sizeof(key->pubInput) + sizeof(key->ciphertext); - if (buflen < bytesRequired || bytesRequired > INT_MAX) { - return -1; - } - - buf[0] = (uint8_t) key->params; - - memcpy(buf + 1, key->pubInput, sizeof(key->pubInput)); - memcpy(buf + 1 + sizeof(key->pubInput), key->ciphertext, sizeof(key->ciphertext)); - - return (int) bytesRequired; -} - -int picnic_read_public_key(picnic_publickey_t *key, const uint8_t *buf, size_t buflen) { - if (key == NULL || buf == NULL) { - return -1; - } - - size_t bytesExpected = 1 + sizeof(key->pubInput) + sizeof(key->ciphertext); - if (buflen < bytesExpected) { - return -1; - } - - if (is_valid_params(buf[0])) { - key->params = buf[0]; - } else { - return -1; - } - - memcpy(key->pubInput, buf + 1, sizeof(key->pubInput)); - memcpy(key->ciphertext, buf + 1 + sizeof(key->pubInput), sizeof(key->ciphertext)); - - return 0; -} - -/* Serialize a private key. */ -int picnic_write_private_key(const picnic_privatekey_t *key, uint8_t *buf, size_t buflen) { - if (key == NULL || buf == NULL) { - return -1; - } - - size_t bytesRequired = 1 + sizeof(key->data); - if (buflen < bytesRequired || bytesRequired > INT_MAX) { - return -1; - } - - buf[0] = (uint8_t) key->params; - - memcpy(buf + 1, key->data, sizeof(key->data)); - - return (int) bytesRequired; -} - -/* De-serialize a private key. */ -int picnic_read_private_key(picnic_privatekey_t *key, const uint8_t *buf, size_t buflen, picnic_publickey_t *publickey) { - if (key == NULL || buf == NULL || publickey == NULL) { - return -1; - } - - size_t bytesExpected = 1 + sizeof(key->data); - if (buflen < bytesExpected) { - return -1; - } - - if (is_valid_params(buf[0])) { - key->params = buf[0]; - } else { - /* Unsupported parameter set */ - return -1; - } - - if (key->params != publickey->params) { - return -1; - } - - memcpy(key->data, buf + 1, sizeof(key->data)); - key->pk = publickey; - - return 0; -} - -/* Check that a key pair is valid. */ -int picnic_validate_keypair(const picnic_privatekey_t *privatekey, const picnic_publickey_t *publickey) { - ENSURE_LIBRARY_INITIALIZED(); - - lowmcparams_t lowmcparams; - int ret; - ret = picnicParamsToLowMCParams(publickey->params, &lowmcparams); - if (ret != EXIT_SUCCESS) { - return ret; - } - - if (privatekey == NULL || publickey == NULL) { - return -1; - } - - if (privatekey->params != publickey->params) { - return -1; - } - - if (!is_valid_params(privatekey->params)) { - fprintf(stderr, "Unsupported parameter set\n"); - return -1; - } - - /* Re-compute the ciphertext and compare to the value in the public key. */ - uint8_t ciphertext[sizeof(publickey->ciphertext)]; - LowMCEnc((uint32_t *) publickey->pubInput, (uint32_t *) ciphertext, (uint32_t *) privatekey->data, &lowmcparams); - if (memcmp(ciphertext, publickey->ciphertext, sizeof(ciphertext)) != 0) { - return -1; - } - - return 0; -} diff --git a/src/sig_picnic_msr/picnic.h b/src/sig_picnic_msr/picnic.h deleted file mode 100644 index e95f90321..000000000 --- a/src/sig_picnic_msr/picnic.h +++ /dev/null @@ -1,294 +0,0 @@ -/*! @file picnic.h - * @brief Public API for the Picnic signature scheme. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives
- * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha
- * Cryptology ePrint Archive: Report 2017/279
- * http://eprint.iacr.org/2017/279
- * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ - -// Doxygen mainpage: -/** @mainpage - * - * This is a reference implementation of the Picnic and Fish signature - * schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives
- * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha
- * Cryptology ePrint Archive: Report 2017/279
- * http://eprint.iacr.org/2017/279
- * - * The library API is documented in \ref picnic.h. - * - * Authors: Steven Goldfeder and Greg Zaverucha
- * May 2017 - */ - -#ifndef PICNIC_H -#define PICNIC_H - -#ifdef __cplusplus -extern "C" { -#endif - -#include -#include - -/* Maximum lengths in bytes */ -#define PICNIC_MAX_PUBLICKEY_SIZE 64 /**< Largest public key size, in bytes */ -#define PICNIC_MAX_PRIVATEKEY_SIZE 64 /**< Largest private key size, in bytes */ -#define PICNIC_MAX_SIGNATURE_SIZE 263786 /**< Largest signature size, in bytes */ - -/** Parameter sets */ -typedef enum picnic_params_t { - PARAMETER_SET_INVALID = 0, - LowMC_256_256_42_14_FS = 1, /**< LowMC with Fiat-Shamir balanced number of s-boxes (42) and rounds (14). */ - LowMC_256_256_42_14_UR = 2, /**< LowMC with Unruh balanced number of s-boxes (42) and rounds (14). */ - LowMC_256_256_1_316_FS = 3, /**< LowMC with Fiat-Shamir and a small number of s-boxes (1) with a large number of rounds (316). */ - LowMC_256_256_1_316_UR = 4, /**< LowMC with Unruh and a small number of s-boxes (1) with a large number of rounds (316). */ - LowMC_256_256_10_38_FS = 5, /**< LowMC with Fiat-Shamir balanced number of s-boxes (10) and rounds (38). */ - LowMC_256_256_10_38_UR = 6, /**< LowMC with Unruh balanced number of s-boxes (10) and rounds (38). */ - PARAMETER_SET_MAX_INDEX = 7 -} picnic_params_t; - -/** Public key */ -typedef struct { - picnic_params_t params; /**< The parameter set used with this public key. */ - uint8_t pubInput[PICNIC_MAX_PUBLICKEY_SIZE / 2]; /**< The input plaintext block to LowMC. */ - uint8_t ciphertext[PICNIC_MAX_PUBLICKEY_SIZE / 2]; /**< The encryption of pubInput under the private key. */ -} picnic_publickey_t; - -/** Private key */ -typedef struct { - picnic_params_t params; /**< The parameter set used with this private key. */ - uint8_t data[PICNIC_MAX_PRIVATEKEY_SIZE]; /**< The private key data. */ - picnic_publickey_t *pk; /**< The corresponding public key. */ -} picnic_privatekey_t; - -/** - * Library initialization. - * Must be called before calling any of the other functions. - * - * Used to initialize OpenSSL and load LowMC constants and precomputed tables. - * Initialization is specific to a parameter set. - * - * @param[in] params The parameter set that will be used. - * @param[in] path (optional) a path where pre-computed data is stored. If - * provided, must contain the trailing slash character(s) ('/' or '\\'). - * @param[in] flags (optional) If flags is 1, OpenSSL is not initialized. This - * is useful if the application using picnic.h also uses OpenSSL, and does not - * want the picnic_init to perform OpenSSL initialization. If flags is 1, - * fucntions in picnic.h assume that OpenSSL has been initialized, and that the - * SHA-256, and AES algorithms are available. - * - * @return 0 on success, nonzero for error - * - * @see picnic_shutdown() - */ -int picnic_init(picnic_params_t params, const char *path, unsigned int flags); - -/** - * Free resources allocated by picnic_init(). - * - * @param[in] flags If flags is 1, the OpenSSL shutdown steps are not - * performed. This is useful if the application using picnic.h also uses - * OpenSSL, and does not want picnic_shutdown to shutdown OpenSSL. - * - * @see picnic_init() - */ -void picnic_shutdown(unsigned int flags); - -/** - * Get a string representation of the parameter set. - * - * @param parameters A parameter set - * - * @return A null-terminated string describing the parameter set. - */ -const char *picnic_get_param_name(picnic_params_t parameters); - -/* Signature API */ - -/** - * Key generation function. - * Generates a public and private key pair, for the specified parameter set. - * - * @param[in] parameters The parameter set to use when generating a key. - * @param[out] pk The new public key. - * @param[out] sk The new private key. - * - * @return Returns 0 for success, or a nonzero value indicating an error. - * - * @see picnic_verify(), picnic_sign() - */ -int picnic_keygen(picnic_params_t parameters, picnic_publickey_t *pk, - picnic_privatekey_t *sk); - -/** - * Signature function. - * Signs a message with the given keypair. - * - * @param[in] sk The signer's private key. - * @param[in] message The message to be signed. - * @param[in] message_len The length of the message, in bytes. - * @param[out] signature A buffer to hold the signature. The required size does - * not exceed PICNIC_MAX_SIGNATURE_SIZE bytes. The specific max number of - * bytes required for a parameter set is given by picnic_signature_size(). Note - * that the length of each signature varies slightly, for the parameter sets - * using the FS transform. The parameter sets using the Unruh transform have a - * fixed length. - * @param[in,out] signature_len The length of the provided signature buffer. - * On success, this is set to the number of bytes written to the signature buffer. - * - * @return Returns 0 for success, or a nonzero value indicating an error. - * - * @see picnic_verify(), picnic_keygen(), picnic_signature_size() - */ -int picnic_sign(picnic_privatekey_t *sk, const uint8_t *message, size_t message_len, - uint8_t *signature, size_t *signature_len); - -/** - * Get the number of bytes required to hold a signature. - * - * @param[in] parameters The parameter set of the signature. - * - * @return The number of bytes required to hold the signature created by - * picnic_sign - * - * @note The size of signatures with parameter sets using the FS transform vary - * slightly based on the random choices made during signing. This function - * will return a suffcient number of bytes to hold a signature, and the - * picnic_sign() function returns the exact number used for a given signature. - * - * @see picnic_sign() - */ -size_t picnic_signature_size(picnic_params_t parameters); - -/** - * Verification function. - * Verifies a signature is valid with respect to a public key and message. - * - * @param[in] pk The signer's public key. - * @param[in] message The message the signature purpotedly signs. - * @param[in] message_len The length of the message, in bytes. - * @param[in] signature The signature to verify. - * @param[in] signature_len The length of the signature. - * - * @return Returns 0 for success, indicating a valid signature, or a nonzero - * value indicating an error or an invalid signature. - * - * @see picnic_sign(), picnic_keygen() - */ -int picnic_verify(picnic_publickey_t *pk, const uint8_t *message, size_t message_len, - const uint8_t *signature, size_t signature_len); - -/** - * Serialize a public key. - * - * @param[in] key The public key to serialize - * @param[out] buf The buffer to write the key to. - * Must have size at least PICNIC_MAX_PUBLICKEY_SIZE + 1 bytes. - * @param[in] buflen The length of buf, in bytes - * - * @return Returns the number of bytes written. - */ -int picnic_write_public_key(const picnic_publickey_t *key, uint8_t *buf, size_t buflen); - -/** - * De-serialize a public key. - * - * @param[out] key The public key object to be populated. - * @param[in] buf The buffer to read the public key from. - * Must be at least PICNIC_MAX_PUBLICKEY_SIZE + 1 bytes. - * @param[in] buflen The length of buf, in bytes - * - * @return Returns the number of bytes written. - */ -int picnic_read_public_key(picnic_publickey_t *key, const uint8_t *buf, size_t buflen); - -/** - * Serialize a private key. - * - * @param[in] key The private key to serialize - * @param[out] buf The buffer to write the key to. - * Must have size at least PICNIC_MAX_PRIVATEKEY_SIZE + 1 bytes. - * @param[in] buflen The length of buf, in bytes - * - * @return Returns the number of bytes written. - */ -int picnic_write_private_key(const picnic_privatekey_t *key, uint8_t *buf, size_t buflen); - -/** - * De-serialize a private key. - * - * @param[out] key The private key object to be populated - * @param[in] buf The buffer to read the key from. - * Must have size at least PICNIC_MAX_PRIVATEKEY_SIZE + 1 bytes. - * @param[in] buflen The length of buf, in bytes - * @param[in] publickey The corresponding public key - * - * @return Returns 0 on success, or a nonzero value indicating an error. - */ -int picnic_read_private_key(picnic_privatekey_t *key, const uint8_t *buf, size_t buflen, picnic_publickey_t *publickey); - -/** - * Check that a key pair is valid. - * - * @param[in] privatekey The private key to check - * @param[in] publickey The public key to check - * - * @return Returns 0 if the key pair is valid, or a nonzero value indicating an error - */ -int picnic_validate_keypair(const picnic_privatekey_t *privatekey, const picnic_publickey_t *publickey); - -/** - * picnic_random_bytes is used to generate random bytes in key generation and - * signing. See the provided implementation "random_bytes_default_openssl" - * based on OpenSSL's RAND_bytes. - * - * To use another RNG, make sure it has the same behavior as - * random_bytes_default_openssl, and change the definition of - * picnic_random_bytes. - */ -#define picnic_random_bytes random_bytes_default_openssl - -/* - * Note signing digests and streaming APIs - * - * Sometimes signaure APIs include "sign_digest" and "verify_digest" functions, - * that allow the caller to hash the message themselves and provide the digest - * to the sign/verify functions. Example use cases for these APIs are - * applications that must sign very large messages, which don't fit in memory, - * or that must signa long stream data. Applications that really need this - * behavior could provide a digest to the sign/verify APIs provided here. - * This is discouraged however, because the message will then be hashed twice, - * the challenge used in the proof will be: - * c = H(random, per-signature values || H(M)) - * instead of - * c = H(random, per-signature values || M). - * In the former case, a collision for H immediately gives a forgery (in the - * GMR security game, but not necessarily in all applications). For this reason - * the latter case arguably provides better security. - * - * A better way to implement a streaming API (not provided by this library) - * would be to hash the first part of the challenge, then continue hashing the - * message as a stream, then finish computing the signature. - * - */ - -#ifdef __cplusplus -} -#endif - -#endif /*PICNIC_H*/ diff --git a/src/sig_picnic_msr/platform.h b/src/sig_picnic_msr/platform.h deleted file mode 100644 index 8c79f6ecb..000000000 --- a/src/sig_picnic_msr/platform.h +++ /dev/null @@ -1,25 +0,0 @@ -/*! @file platform.h - * @brief Platform-specific defines. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ - -/* __FUNCTION__ generates a warning on Linux with -Wpedantic and newer versions - * of GCC (tested with 5.4). So we use __func__ in all source and define it on - * Windows. - */ -#if defined(__WINDOWS__) -#define __func__ __FUNCTION__ -#endif diff --git a/src/sig_picnic_msr/preprocessMatrices.c b/src/sig_picnic_msr/preprocessMatrices.c deleted file mode 100644 index b89474427..000000000 --- a/src/sig_picnic_msr/preprocessMatrices.c +++ /dev/null @@ -1,212 +0,0 @@ -/*! @file preprocessMatrices.c - * @brief Utility program to generate lookup tables used for fast - * matrix multiplication. It outputs precomputed data to the data - * directory. - * - * This file is part of the reference implementation of the Picnic and Fish - * signature schemes, described in the paper: - * - * Post-Quantum Zero-Knowledge and Signatures from Symmetric-Key Primitives - * Melissa Chase and David Derler and Steven Goldfeder and Claudio Orlandi and - * Sebastian Ramacher and Christian Rechberger and Daniel Slamanig and Greg - * Zaverucha - * Cryptology ePrint Archive: Report 2017/279 - * http://eprint.iacr.org/2017/279 - * - * The code is provided under the MIT license, see LICENSE for - * more details. - * - */ - -#include -#include -#include -#include - -#include "matrices_256_10_38.h" -#include "matrices_256_42_14.h" -#include "matrices_256_1_316.h" - -#include "LowMCConstants.h" -#include "LowMC.h" -#include "picnic.h" -#include - -#define t 8 - -/* Function in picnic.c not exposed in picnic.h */ -int picnicParamsToLowMCParams(picnic_params_t picnicParams, lowmcparams_t *lowmcParams); - -//static code* grayCode; - -void xor (uint32_t * in1, uint32_t *in2, uint32_t *out, uint32_t numWords) { - for (uint32_t i = 0; i < numWords; i++) { - out[i] = in1[i] ^ in2[i]; - } -} - - void rotate(uint32_t input[STATE_SIZE_BITS][STATE_SIZE_WORDS], uint32_t output[STATE_SIZE_BITS][STATE_SIZE_WORDS]) { - for (int i = 0; i < STATE_SIZE_BITS; i++) { - for (int j = 0; j < STATE_SIZE_BITS; j++) { - setBitInWordArray(output[STATE_SIZE_BITS - 1 - i], STATE_SIZE_BITS - 1 - j, - getBitFromWordArray(input[j], i)); - } - } -} - -void generateTable(size_t numRounds, size_t stateBits, size_t stateWords, - uint32_t matrices[numRounds][stateBits][stateWords], - const char *matrixName, FILE *fp, FILE *fp2) { - int *ord = malloc((1 << t) * sizeof(int)); - int *inc = malloc((1 << t) * sizeof(int)); - - m4ri_build_code(ord, inc, t); - uint32_t rotatedMat[stateBits][stateWords]; - - uint32_t ****lookupTable = malloc(numRounds * sizeof(uint32_t ***)); - for (size_t i = 0; i < numRounds; i++) { - lookupTable[i] = malloc(stateBits / t * sizeof(uint32_t **)); - for (size_t j = 0; j < stateBits / t; j++) { - lookupTable[i][j] = malloc((1 << t) * sizeof(uint32_t *)); - for (int k = 0; k < (1 << t); k++) { - lookupTable[i][j][k] = calloc(stateWords, sizeof(uint32_t)); - } - } - } - - for (size_t i = 0; i < numRounds; i++) { - rotate(matrices[i], rotatedMat); - for (size_t j = 0; j < stateBits / t; j++) { - memset(lookupTable[i][j][0], 0, stateWords * sizeof(uint32_t)); - for (int k = 1; k < 1 << t; k++) { - xor(lookupTable[i][(stateBits / t) - 1 - j][ord[k - 1]], - rotatedMat[(j * t) + (inc[k - 1])], - lookupTable[i][(stateBits / t) - 1 - j][ord[k]], - stateWords); - } - } - } - - for (size_t i = 0; i < numRounds; i++) { - for (size_t j = 0; j < stateBits / t; j++) { - for (size_t k = 0; k < (1 << t); k++) { - fwrite(lookupTable[i][j][k], sizeof(uint32_t), stateWords, fp); - } - } - } - - size_t i, j, k, l; - - fprintf(fp2, "uint32_t %sLookupTable2 [%zd][%zd][%d][%zd] = {", matrixName, - numRounds, stateBits / t, 1 << t, stateWords); - for (i = 0; i < numRounds; i++) { - fprintf(fp2, "{"); - for (j = 0; j < stateBits / t; j++) { - fprintf(fp2, "{"); - for (k = 0; k < (1 << t); k++) { - fprintf(fp2, "{"); - for (l = 0; l < stateWords; l++) { - fprintf(fp2, "0x%x", lookupTable[i][j][k][l]); - if (l != stateWords - 1) { - fprintf(fp2, ","); - } - } - - fprintf(fp2, "}"); - if (k != (1 << t) - 1) { - fprintf(fp2, ", \n"); - } - } - - fprintf(fp2, "}"); - if (j != (stateBits / t) - 1) { - fprintf(fp2, ", \n"); - } - } - fprintf(fp2, "}"); - if (i != numRounds - 1) { - fprintf(fp2, ", \n"); - } - } - fprintf(fp2, "};\n"); - for (size_t i = 0; i < numRounds; i++) { - for (size_t j = 0; j < stateBits / t; j++) { - for (int k = 0; k < (1 << t); k++) { - free(lookupTable[i][j][k]); - } - free(lookupTable[i][j]); - } - free(lookupTable[i]); - } - free(lookupTable); -} - -void writeRoundConstants(size_t numRounds, size_t stateWords, uint32_t roundConstants[numRounds][stateWords], FILE *fp) { - for (size_t i = 0; i < numRounds; i++) { - //for(int j = 0; j < stateWords;j++) { - fwrite(&roundConstants[i], sizeof(uint32_t), stateWords, fp); - } - //} -} - -void generatelookupTables(picnic_params_t picnic_params) { - lowmcparams_t params = {0}; - - picnicParamsToLowMCParams(picnic_params, ¶ms); - - FILE *fp; - char filename[100]; - sprintf(filename, DEFAULT_DATA_PATH "lookupTables_%d_%d_%d.bin", params.stateSizeBits, params.numSboxes, params.numRounds); - char filename2[100]; - sprintf(filename2, DEFAULT_DATA_PATH "lookupTables_%d_%d_%d.h", params.stateSizeBits, params.numSboxes, params.numRounds); - fp = fopen(filename, "wb"); - FILE *fp2; - fp2 = fopen(filename2, "w+"); - - if (fp == NULL || fp2 == NULL) { - printf("Failed to open '%s' or '%s' for writing\n", filename, filename2); - exit(-1); - } - - switch (picnic_params) { - case LowMC_256_256_42_14_FS: - // fall through - case LowMC_256_256_42_14_UR: - generateTable(params.numRounds, params.stateSizeBits, params.stateSizeWords, - linearMatrices_256_42_14, "linearMatrices", fp, fp2); - generateTable(params.numRounds + 1, params.stateSizeBits, params.stateSizeWords, - keyMatrices_256_42_14, "keyMatrices", fp, fp2); - writeRoundConstants(params.numRounds, params.stateSizeWords, roundConstants256_42_14, fp); - break; - case LowMC_256_256_1_316_FS: - // fall through - case LowMC_256_256_1_316_UR: - generateTable(params.numRounds, params.stateSizeBits, params.stateSizeWords, - linearMatrices_256_1_316, "linearMatrices", fp, fp2); - generateTable(params.numRounds + 1, params.stateSizeBits, params.stateSizeWords, - keyMatrices_256_1_316, "keyMatrices", fp, fp2); - writeRoundConstants(params.numRounds, params.stateSizeWords, roundConstants256_1_316, fp); - - break; - case LowMC_256_256_10_38_FS: - // fall through - case LowMC_256_256_10_38_UR: - generateTable(params.numRounds, params.stateSizeBits, params.stateSizeWords, - linearMatrices_256_10_38, "linearMatrices", fp, fp2); - generateTable(params.numRounds + 1, params.stateSizeBits, params.stateSizeWords, - keyMatrices_256_10_38, "keyMatrices", fp, fp2); - writeRoundConstants(params.numRounds, params.stateSizeWords, roundConstants256_10_38, fp); - - break; - case PARAMETER_SET_INVALID: - case PARAMETER_SET_MAX_INDEX: - break; - } - fclose(fp); -} - -int main() { - for (picnic_params_t params = 1; params < PARAMETER_SET_MAX_INDEX; params++) { - generatelookupTables(params); - } -} diff --git a/src/sig_picnic_msr/test_util.c b/src/sig_picnic_msr/test_util.c deleted file mode 100644 index 1a5d35cc4..000000000 --- a/src/sig_picnic_msr/test_util.c +++ /dev/null @@ -1,66 +0,0 @@ -/* - * Copyright (c) 2016 Microsoft Corporation. - */ - -#include -#include -#include - -#include "test_util.h" - -/* Platform-specific includes for timing code */ -#if OS_TARGET == OS_WIN -#include -#include -#endif -#if (OS_TARGET == OS_LINUX) && (TARGET == TARGET_ARM) -#include -#endif - -int64_t cpucycles(void) // Access system counter for benchmarking -{ -#if (OS_TARGET == OS_WIN) && (TARGET == TARGET_AMD64 || TARGET == TARGET_x86) - return __rdtsc(); -#elif (OS_TARGET == OS_WIN) && (TARGET == TARGET_ARM) - return __rdpmccntr64(); -#elif (OS_TARGET == OS_LINUX) && (TARGET == TARGET_AMD64 || TARGET == TARGET_x86) - unsigned int hi, lo; - - asm volatile("rdtsc\n\t" - : "=a"(lo), "=d"(hi)); - return ((int64_t) lo) | (((int64_t) hi) << 32); -#elif (OS_TARGET == OS_LINUX) && (TARGET == TARGET_ARM) - struct timespec time; - - clock_gettime(CLOCK_REALTIME, &time); - return (int64_t)(time.tv_sec * 1e9 + time.tv_nsec); -#else - return 0; -#endif -} - -void bench_print(char *label, unsigned long long count, - unsigned long long num_runs) // Print benchmarking result with the corresponding unit -{ - char *unit; - unsigned long long result = count / num_runs; - -#if (OS_TARGET == OS_LINUX) && (TARGET == TARGET_ARM) - if (result >= 1e7) { - unit = "msec"; - result = result / 1e6; - } else if (result >= 1e4) { - unit = "usec"; - result = result / 1e3; - } else { - unit = "nsec"; - } -#else - unit = "cycles"; -#endif - - printf(" %s runs in %*s %10lld %s\n", label, (int) (50 - strlen(label)), - " ", result, unit); - - return; -} diff --git a/src/sig_picnic_msr/test_util.h b/src/sig_picnic_msr/test_util.h deleted file mode 100644 index 992401beb..000000000 --- a/src/sig_picnic_msr/test_util.h +++ /dev/null @@ -1,32 +0,0 @@ -/* - * Copyright (c) 2016 Microsoft Corporation. - */ - -#define OS_WIN 1 -#define OS_LINUX 2 - -#define TARGET_AMD64 1 - -#if defined(__WINDOWS__) -#define OS_TARGET OS_WIN -#elif defined(__LINUX__) -#define OS_TARGET OS_LINUX -#else -#error-- "Unknown OS" -#endif - -#ifdef __X64__ -#define TARGET TARGET_AMD64 -#else -// Default to x64 -#define TARGET TARGET_AMD64 -#endif - -#include - -// Print benchmarking result with the corresponding unit -void bench_print(char *label, unsigned long long count, - unsigned long long num_runs); - -// Access system counter for benchmarking -int64_t cpucycles(void);