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2025-01-17 18:27:46 +03:00
# CRYSTALS-Dilithium
- **Algorithm type**: Digital signature scheme.
- **Main cryptographic assumption**: hardness of lattice problems over module lattices.
- **Principal submitters**: Vadim Lyubashevsky.
- **Auxiliary submitters**: Shi Bai, Léo Ducas, Eike Kiltz, Tancrède Lepoint, Peter Schwabe, Gregor Seiler, Damien Stehlé.
- **Authors' website**: https://pq-crystals.org/dilithium/
- **Specification version**: 3.1.
- **Primary Source**<a name="primary-source"></a>:
- **Source**: https://github.com/pq-crystals/dilithium/commit/3e9b9f1412f6c7435dbeb4e10692ea58f181ee51 with copy_from_upstream patches
- **Implementation license (SPDX-Identifier)**: CC0-1.0 or Apache-2.0
- **Optimized Implementation sources**: https://github.com/pq-crystals/dilithium/commit/3e9b9f1412f6c7435dbeb4e10692ea58f181ee51 with copy_from_upstream patches
- **oldpqclean-aarch64**:<a name="oldpqclean-aarch64"></a>
- **Source**: https://github.com/PQClean/PQClean/commit/8e220a87308154d48fdfac40abbb191ac7fce06a with copy_from_upstream patches
- **Implementation license (SPDX-Identifier)**: CC0-1.0 and (CC0-1.0 or Apache-2.0) and (CC0-1.0 or MIT) and MIT
## Parameter set summary
| Parameter set | Parameter set alias | Security model | Claimed NIST Level | Public key size (bytes) | Secret key size (bytes) | Signature size (bytes) |
|:---------------:|:----------------------|:-----------------|---------------------:|--------------------------:|--------------------------:|-------------------------:|
| Dilithium2 | NA | EUF-CMA | 2 | 1312 | 2528 | 2420 |
| Dilithium3 | NA | EUF-CMA | 3 | 1952 | 4000 | 3293 |
| Dilithium5 | NA | EUF-CMA | 5 | 2592 | 4864 | 4595 |
## Dilithium2 implementation characteristics
| Implementation source | 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?‡ |
|:-----------------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:----------------------|
| [Primary Source](#primary-source) | ref | All | All | None | True | True | False |
| [Primary Source](#primary-source) | avx2 | x86\_64 | Darwin,Linux | AVX2,POPCNT | True | True | False |
| [oldpqclean-aarch64](#oldpqclean-aarch64) | aarch64 | ARM64\_V8 | Linux,Darwin | None | True | False | 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.
## Dilithium3 implementation characteristics
| Implementation source | 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? |
|:-----------------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:---------------------|
| [Primary Source](#primary-source) | ref | All | All | None | True | True | False |
| [Primary Source](#primary-source) | avx2 | x86\_64 | Darwin,Linux | AVX2,POPCNT | True | True | False |
| [oldpqclean-aarch64](#oldpqclean-aarch64) | aarch64 | ARM64\_V8 | Linux,Darwin | None | True | False | False |
Are implementations chosen based on runtime CPU feature detection? **Yes**.
## Dilithium5 implementation characteristics
| Implementation source | 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? |
|:-----------------------------------------:|:-------------------------|:----------------------------|:--------------------------------|:------------------------|:-----------------------------------|:-----------------------------------------------|:---------------------|
| [Primary Source](#primary-source) | ref | All | All | None | True | True | False |
| [Primary Source](#primary-source) | avx2 | x86\_64 | Darwin,Linux | AVX2,POPCNT | True | True | False |
| [oldpqclean-aarch64](#oldpqclean-aarch64) | aarch64 | ARM64\_V8 | Linux,Darwin | None | True | False | 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.