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# Falcon
- **Algorithm type**: Digital signature scheme.
- **Main cryptographic assumption**: hardness of NTRU lattice problems.
- **Principal submitters**: Thomas Prest.
- **Auxiliary submitters**: Pierre-Alain Fouque, Jeffrey Hoffstein, Paul Kirchner, Vadim Lyubashevsky, Thomas Pornin, Thomas Ricosset, Gregor Seiler, William Whyte, Zhenfei Zhang.
- **Authors' website**: https://falcon-sign.info
- **Specification version**: v1.2.
- **Implementation source**: https://github.com/PQClean/PQClean/commit/6a32796212b79a5f9126d0a933e1216313f50c16, which takes it from:
- https://github.com/jschanck/package-pqclean/tree/cea1fa5a/falcon, which takes it from:
- supercop-20201018
- **Implementation license (SPDX-Identifier)**: MIT.
## Parameter set summary
| Parameter set | Security model | Claimed NIST Level | Public key size (bytes) | Secret key size (bytes) | Signature size (bytes) |
|:---------------:|:-----------------|---------------------:|--------------------------:|--------------------------:|-------------------------:|
| Falcon-512 | EUF-CMA | 1 | 897 | 1281 | 690 |
| Falcon-1024 | EUF-CMA | 5 | 1793 | 2305 | 1330 |
## Falcon-512 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?‡ |
|:------------------------:|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:----------------------|
| clean | All | All | None | True | True | False |
| avx2 | x86\_64 | Linux,Darwin | AVX2 | 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](#explanation-of-terms) section at the end of this file.
## Falcon-1024 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? |
|:------------------------:|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:---------------------|
| clean | All | All | None | True | True | False |
| avx2 | x86\_64 | Linux,Darwin | AVX2 | 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.