liboqs/docs/algorithms/kem/kyber.md

Kyber

• Algorithm type: Key encapsulation mechanism.
• Main cryptographic assumption: Module LWE+R with base ring Z[x]/(3329, x^256+1).
• Principal submitters: Peter Schwabe.
• Auxiliary submitters: Roberto Avanzi, Joppe Bos, Léo Ducas, Eike Kiltz, Tancrède Lepoint, Vadim Lyubashevsky, John M. Schanck, Gregor Seiler, Damien Stehlé.
• Authors' website: https://pq-crystals.org/
• Specification version: NIST Round 3 submission.
• Implementation source: https://github.com/pq-crystals/kyber/commit/8e9308bd with copy_from_upstream patches
• Implementation license (SPDX-Identifier): CC0-1.0.

Parameter set summary

Parameter set	Security model	Claimed NIST Level	Public key size (bytes)	Secret key size (bytes)	Ciphertext size (bytes)	Shared secret size (bytes)
Kyber512	IND-CCA2	1	800	1632	768	32
Kyber512-90s	IND-CCA2	1	800	1632	768	32
Kyber768	IND-CCA2	3	1184	2400	1088	32
Kyber768-90s	IND-CCA2	3	1184	2400	1088	32
Kyber1024	IND-CCA2	5	1568	3168	1568	32
Kyber1024-90s	IND-CCA2	5	1568	3168	1568	32

Kyber512 implementation characteristics

Identifier in upstream	Supported architecture(s)	Supported operating system(s)	CPU extension(s) used	No branching-on-secrets claimed?	No branching-on-secrets checked by valgrind?	Large stack usage?‡
ref	All	All	None	True	True	False
avx2	x86_64	Linux,Darwin	AVX2,BMI2,POPCNT	True	True	False

Are implementations chosen based on runtime CPU feature detection? Yes.

‡For an explanation of what this denotes, consult the Explanation of Terms section at the end of this file.

Kyber512-90s implementation characteristics

Identifier in upstream	Supported architecture(s)	Supported operating system(s)	CPU extension(s) used	No branching-on-secrets claimed?	No branching-on-secrets checked by valgrind?	Large stack usage?
ref	All	All	None	True	True	False
avx2	x86_64	Linux,Darwin	AES,AVX2,BMI2,POPCNT	True	True	False

Are implementations chosen based on runtime CPU feature detection? Yes.

Kyber768 implementation characteristics

Identifier in upstream	Supported architecture(s)	Supported operating system(s)	CPU extension(s) used	No branching-on-secrets claimed?	No branching-on-secrets checked by valgrind?	Large stack usage?
ref	All	All	None	True	True	False
avx2	x86_64	Linux,Darwin	AVX2,BMI2,POPCNT	True	True	False

Are implementations chosen based on runtime CPU feature detection? Yes.

Kyber768-90s implementation characteristics

Identifier in upstream	Supported architecture(s)	Supported operating system(s)	CPU extension(s) used	No branching-on-secrets claimed?	No branching-on-secrets checked by valgrind?	Large stack usage?
ref	All	All	None	True	True	False
avx2	x86_64	Linux,Darwin	AES,AVX2,BMI2,POPCNT	True	True	False

Are implementations chosen based on runtime CPU feature detection? Yes.

Kyber1024 implementation characteristics

Identifier in upstream	Supported architecture(s)	Supported operating system(s)	CPU extension(s) used	No branching-on-secrets claimed?	No branching-on-secrets checked by valgrind?	Large stack usage?
ref	All	All	None	True	True	False
avx2	x86_64	Linux,Darwin	AVX2,BMI2,POPCNT	True	True	False

Are implementations chosen based on runtime CPU feature detection? Yes.

Kyber1024-90s implementation characteristics

Identifier in upstream	Supported architecture(s)	Supported operating system(s)	CPU extension(s) used	No branching-on-secrets claimed?	No branching-on-secrets checked by valgrind?	Large stack usage?
ref	All	All	None	True	True	False
avx2	x86_64	Linux,Darwin	AES,AVX2,BMI2,POPCNT	True	True	False

Are implementations chosen based on runtime CPU feature detection? Yes.

Explanation of Terms

• Large Stack Usage: Implementations identified as having such may cause failures when running in threads or in constrained environments.