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class="breadcrumb-nav-list-item"><span>Dilithium</span></li> </ol> </nav> <div id="main-content" class="main-content"> <main> <h1 id="crystals-dilithium"> <a href="#crystals-dilithium" class="anchor-heading" aria-labelledby="crystals-dilithium"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> CRYSTALS-Dilithium </h1> <ul> <li><strong>Algorithm type</strong>: Digital signature scheme.</li> <li><strong>Main cryptographic assumption</strong>: hardness of lattice problems over module lattices.</li> <li><strong>Principal submitters</strong>: Vadim Lyubashevsky.</li> <li><strong>Auxiliary submitters</strong>: Shi Bai, Léo Ducas, Eike Kiltz, Tancrède Lepoint, Peter Schwabe, Gregor Seiler, Damien Stehlé.</li> <li><strong>Authors’ website</strong>: https://pq-crystals.org/dilithium/</li> <li><strong>Specification version</strong>: 3.1.</li> <li><strong>Primary Source</strong><a name="primary-source"></a>: <ul> <li><strong>Source</strong>: https://github.com/pq-crystals/dilithium/commit/3e9b9f1412f6c7435dbeb4e10692ea58f181ee51 with copy_from_upstream patches</li> <li><strong>Implementation license (SPDX-Identifier)</strong>: CC0-1.0 or Apache-2.0</li> </ul> </li> <li><strong>Optimized Implementation sources</strong>: https://github.com/pq-crystals/dilithium/commit/3e9b9f1412f6c7435dbeb4e10692ea58f181ee51 with copy_from_upstream patches <ul> <li><strong>oldpqclean-aarch64</strong>:<a name="oldpqclean-aarch64"></a> <ul> <li><strong>Source</strong>: https://github.com/PQClean/PQClean/commit/8e220a87308154d48fdfac40abbb191ac7fce06a with copy_from_upstream patches</li> <li><strong>Implementation license (SPDX-Identifier)</strong>: CC0-1.0 and (CC0-1.0 or Apache-2.0) and (CC0-1.0 or MIT) and MIT</li> </ul> </li> </ul> </li> </ul> <h2 id="parameter-set-summary"> <a href="#parameter-set-summary" class="anchor-heading" aria-labelledby="parameter-set-summary"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Parameter set summary </h2> <div class="table-wrapper"><table> <thead> <tr> <th style="text-align: center">Parameter set</th> <th style="text-align: left">Parameter set alias</th> <th style="text-align: left">Security model</th> <th style="text-align: right">Claimed NIST Level</th> <th style="text-align: right">Public key size (bytes)</th> <th style="text-align: right">Secret key size (bytes)</th> <th style="text-align: right">Signature size (bytes)</th> </tr> </thead> <tbody> <tr> <td style="text-align: center">Dilithium2</td> <td style="text-align: left">NA</td> <td style="text-align: left">EUF-CMA</td> <td style="text-align: right">2</td> <td style="text-align: right">1312</td> <td style="text-align: right">2528</td> <td style="text-align: right">2420</td> </tr> <tr> <td style="text-align: center">Dilithium3</td> <td style="text-align: left">NA</td> <td style="text-align: left">EUF-CMA</td> <td style="text-align: right">3</td> <td style="text-align: right">1952</td> <td style="text-align: right">4000</td> <td style="text-align: right">3293</td> </tr> <tr> <td style="text-align: center">Dilithium5</td> <td style="text-align: left">NA</td> <td style="text-align: left">EUF-CMA</td> <td style="text-align: right">5</td> <td style="text-align: right">2592</td> <td style="text-align: right">4864</td> <td style="text-align: right">4595</td> </tr> </tbody> </table></div> <h2 id="dilithium2-implementation-characteristics"> <a href="#dilithium2-implementation-characteristics" class="anchor-heading" aria-labelledby="dilithium2-implementation-characteristics"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Dilithium2 implementation characteristics </h2> <div class="table-wrapper"><table> <thead> <tr> <th style="text-align: center">Implementation source</th> <th style="text-align: left">Identifier in upstream</th> <th style="text-align: left">Supported architecture(s)</th> <th style="text-align: left">Supported operating system(s)</th> <th style="text-align: left">CPU extension(s) used</th> <th style="text-align: left">No branching-on-secrets claimed?</th> <th style="text-align: left">No branching-on-secrets checked by valgrind?</th> <th style="text-align: left">Large stack usage?‡</th> </tr> </thead> <tbody> <tr> <td style="text-align: center"><a href="#primary-source">Primary Source</a></td> <td style="text-align: left">ref</td> <td style="text-align: left">All</td> <td style="text-align: left">All</td> <td style="text-align: left">None</td> <td style="text-align: left">True</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> </tr> <tr> <td style="text-align: center"><a href="#primary-source">Primary Source</a></td> <td style="text-align: left">avx2</td> <td style="text-align: left">x86_64</td> <td style="text-align: left">Darwin,Linux</td> <td style="text-align: left">AVX2,POPCNT</td> <td style="text-align: left">True</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> </tr> <tr> <td style="text-align: center"><a href="#oldpqclean-aarch64">oldpqclean-aarch64</a></td> <td style="text-align: left">aarch64</td> <td style="text-align: left">ARM64_V8</td> <td style="text-align: left">Linux,Darwin</td> <td style="text-align: left">None</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> <td style="text-align: left">False</td> </tr> </tbody> </table></div> <p>Are implementations chosen based on runtime CPU feature detection? <strong>Yes</strong>.</p> <p>‡For an explanation of what this denotes, consult the <a href="#explanation-of-terms">Explanation of Terms</a> section at the end of this file.</p> <h2 id="dilithium3-implementation-characteristics"> <a href="#dilithium3-implementation-characteristics" class="anchor-heading" aria-labelledby="dilithium3-implementation-characteristics"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Dilithium3 implementation characteristics </h2> <div class="table-wrapper"><table> <thead> <tr> <th style="text-align: center">Implementation source</th> <th style="text-align: left">Identifier in upstream</th> <th style="text-align: left">Supported architecture(s)</th> <th style="text-align: left">Supported operating system(s)</th> <th style="text-align: left">CPU extension(s) used</th> <th style="text-align: left">No branching-on-secrets claimed?</th> <th style="text-align: left">No branching-on-secrets checked by valgrind?</th> <th style="text-align: left">Large stack usage?</th> </tr> </thead> <tbody> <tr> <td style="text-align: center"><a href="#primary-source">Primary Source</a></td> <td style="text-align: left">ref</td> <td style="text-align: left">All</td> <td style="text-align: left">All</td> <td style="text-align: left">None</td> <td style="text-align: left">True</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> </tr> <tr> <td style="text-align: center"><a href="#primary-source">Primary Source</a></td> <td style="text-align: left">avx2</td> <td style="text-align: left">x86_64</td> <td style="text-align: left">Darwin,Linux</td> <td style="text-align: left">AVX2,POPCNT</td> <td style="text-align: left">True</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> </tr> <tr> <td style="text-align: center"><a href="#oldpqclean-aarch64">oldpqclean-aarch64</a></td> <td style="text-align: left">aarch64</td> <td style="text-align: left">ARM64_V8</td> <td style="text-align: left">Linux,Darwin</td> <td style="text-align: left">None</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> <td style="text-align: left">False</td> </tr> </tbody> </table></div> <p>Are implementations chosen based on runtime CPU feature detection? <strong>Yes</strong>.</p> <h2 id="dilithium5-implementation-characteristics"> <a href="#dilithium5-implementation-characteristics" class="anchor-heading" aria-labelledby="dilithium5-implementation-characteristics"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Dilithium5 implementation characteristics </h2> <div class="table-wrapper"><table> <thead> <tr> <th style="text-align: center">Implementation source</th> <th style="text-align: left">Identifier in upstream</th> <th style="text-align: left">Supported architecture(s)</th> <th style="text-align: left">Supported operating system(s)</th> <th style="text-align: left">CPU extension(s) used</th> <th style="text-align: left">No branching-on-secrets claimed?</th> <th style="text-align: left">No branching-on-secrets checked by valgrind?</th> <th style="text-align: left">Large stack usage?</th> </tr> </thead> <tbody> <tr> <td style="text-align: center"><a href="#primary-source">Primary Source</a></td> <td style="text-align: left">ref</td> <td style="text-align: left">All</td> <td style="text-align: left">All</td> <td style="text-align: left">None</td> <td style="text-align: left">True</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> </tr> <tr> <td style="text-align: center"><a href="#primary-source">Primary Source</a></td> <td style="text-align: left">avx2</td> <td style="text-align: left">x86_64</td> <td style="text-align: left">Darwin,Linux</td> <td style="text-align: left">AVX2,POPCNT</td> <td style="text-align: left">True</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> </tr> <tr> <td style="text-align: center"><a href="#oldpqclean-aarch64">oldpqclean-aarch64</a></td> <td style="text-align: left">aarch64</td> <td style="text-align: left">ARM64_V8</td> <td style="text-align: left">Linux,Darwin</td> <td style="text-align: left">None</td> <td style="text-align: left">True</td> <td style="text-align: left">False</td> <td style="text-align: left">False</td> </tr> </tbody> </table></div> <p>Are implementations chosen based on runtime CPU feature detection? <strong>Yes</strong>.</p> <h2 id="explanation-of-terms"> <a href="#explanation-of-terms" class="anchor-heading" aria-labelledby="explanation-of-terms"><svg viewBox="0 0 16 16" aria-hidden="true"><use xlink:href="#svg-link"></use></svg></a> Explanation of Terms </h2> <ul> <li><strong>Large Stack Usage</strong>: Implementations identified as having such may cause failures when running in threads or in constrained environments.</li> </ul> </main> <hr> <footer> <p class="text-small text-grey-dk-100 mb-0">Copyright © Open Quantum Safe a Series of LF Projects, LLC.<br>For website terms of use, trademark policy, and other project policies, please see <a href='https://lfprojects.org'>https://lfprojects.org</a>.<br /> This site uses <a href='https://pmarsceill.github.io/just-the-docs/' target='_blank'>Just the Docs</a>, a documentation theme for Jekyll. 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