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Computing Discrete Logarithms
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Since the topic encompasses such a large volume of literature, for the finite field DLP we limit ourselves to a selection of results reflecting recent advances in fixed characteristic finite fields." /> <meta property="article:section" content="PUBLICKEY" /> <meta property="article:modified_time" content="2021-09-10T10:20:29+00:00" /> <meta property="article:published_time" content="2021-09-10T06:50:39+00:00" /> <meta property="article:tag" content="discrete logarithm problem" /> </head> <body> <noscript> <h1 class="text-center">What a lovely hat</h1> <h4 class="text-center">Is it made out of <a href="https://iacr.org/tinfoil.html">tin foil</a>?</h4> </noscript> <div class="fixed-top" id="topNavbar"> <nav class="navbar navbar-custom navbar-expand-lg"> <div class="container px-0 justify-content-between justify-content-lg-evenly"> <div class="order-0 align-items-center d-flex"> <button class="navbar-toggler btnNoOutline" type="button" data-bs-toggle="collapse" 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logarithm problems (DLPs) and present some of the key ideas and constructions behind the most efficient algorithms known that solve them. Since the topic encompasses such a large volume of literature, for the finite field DLP we limit ourselves to a selection of results reflecting recent advances in fixed characteristic finite fields.</p> </div> <div id="metadata" class="col-md-5 col-lg-4 ps-md-5 mt-4 mt-md-0"> <h5>Metadata</h5> <dl> <dt> Available format(s) </dt> <dd> <a class="btn btn-sm btn-outline-dark" href="/2021/1140.pdf"> <img class="icon" src="/img/file-pdf.svg">PDF</a> </dd> <dt>Category</dt> <dd><a href="/search?category=PUBLICKEY"><small class="badge category category-PUBLICKEY">Public-key cryptography</small></a></dd> <dt>Publication info</dt> <dd>Published elsewhere. To appear in "Computational Cryptography - Algorithmic Aspects of Cryptology".</dd> <dt>Keywords</dt> <dd class="keywords"><a href="/search?q=discrete%20logarithm%20problem" class="me-2 badge bg-secondary keyword">discrete logarithm problem</a></dd> <dt>Contact author(s)</dt> <dd><span class="font-monospace"> r granger<span class="obfuscate"> @ </span>surrey ac uk<br>joux<span class="obfuscate"> @ </span>cispa de </span> </dd> <dt>History</dt> <dd>2021-09-10: revised</dd> <dd>2021-09-10: received</dd> <dd><a rel="nofollow" href="/archive/versions/2021/1140">See all versions</a></dd> <dt>Short URL</dt> <dd><a href="https://ia.cr/2021/1140">https://ia.cr/2021/1140</a></dd> <dt>License</dt> <dd><a rel="license" target="_blank" href="https://creativecommons.org/licenses/by/4.0/"> <img class="licenseImg" src="/img/license/CC_BY.svg" alt="Creative Commons Attribution" title="Creative Commons Attribution"><br> <small>CC BY</small> </a> </dd> </dl> </div> </div> <p class="mt-4"><strong>BibTeX</strong> <button id="bibcopy" class="ms-2 btn btn-sm btn-outline-dark" aria-label="Copy to clipboard" onclick="copyBibtex()"> <img src="/img/copy-outline.svg" class="icon">Copy to clipboard</button></p> <pre id="bibtex"> @misc{cryptoeprint:2021/1140, author = {Robert Granger and Antoine Joux}, title = {Computing Discrete Logarithms}, howpublished = {Cryptology {ePrint} Archive, Paper 2021/1140}, year = {2021}, url = {https://eprint.iacr.org/2021/1140} } </pre> <script> var bibcopy; function triggerTooltip() { console.log('setting tooltip'); } window.onload = triggerTooltip; function copyBibtex() { let range = document.createRange(); range.selectNode(document.getElementById('bibtex')); window.getSelection().removeAllRanges(); window.getSelection().addRange(range); document.execCommand('copy'); window.getSelection().removeAllRanges(); let bibcopy = document.getElementById('bibcopy'); let copyTooltip = new bootstrap.Tooltip(bibcopy, {trigger: 'manual', title: 'Copied!'}); copyTooltip.show(); setTimeout(function() { copyTooltip.dispose(); }, 2000); } </script> </main> <div class="container-fluid mt-auto" id="eprintFooter"> <a href="https://iacr.org/"> <img id="iacrlogo" src="/img/iacrlogo_small.png" class="img-fluid d-block mx-auto" alt="IACR Logo"> </a> <div class="colorDiv"></div> <div class="alert alert-success w-75 mx-auto"> Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content. </div> </div> <script src="/css/bootstrap/js/bootstrap.bundle.min.js"></script> <script> var topNavbar = document.getElementById('topNavbar'); if (topNavbar) { document.addEventListener('scroll', function(e) { if (window.scrollY > 100) { topNavbar.classList.add('scrolled'); } else { topNavbar.classList.remove('scrolled'); } }) } </script> </body> </html>