FIPS 186-4, Digital Signature Standard (DSS)

<!DOCTYPE html> <html lang="en-us" xml:lang="en-us"> <head><script type="text/javascript" src="https://web-static.archive.org/_static/js/bundle-playback.js?v=7YQSqjSh" charset="utf-8"></script> <script type="text/javascript" src="https://web-static.archive.org/_static/js/wombat.js?v=txqj7nKC" charset="utf-8"></script> <script>window.RufflePlayer=window.RufflePlayer||{};window.RufflePlayer.config={"autoplay":"on","unmuteOverlay":"hidden"};</script> <script type="text/javascript" src="https://web-static.archive.org/_static/js/ruffle/ruffle.js"></script> <script type="text/javascript"> __wm.init("https://web.archive.org/web"); __wm.wombat("https://csrc.nist.gov/publications/detail/fips/186/4/final","20211215121713","https://web.archive.org/","web","https://web-static.archive.org/_static/", "1639570633"); </script> <link rel="stylesheet" type="text/css" href="https://web-static.archive.org/_static/css/banner-styles.css?v=p7PEIJWi" /> <link rel="stylesheet" type="text/css" href="https://web-static.archive.org/_static/css/iconochive.css?v=3PDvdIFv" />  <meta charset="utf-8"/> <title>FIPS 186-4, Digital Signature Standard (DSS) | CSRC</title> <meta http-equiv="content-type" content="text/html; charset=UTF-8"/> <meta http-equiv="content-style-type" content="text/css"/> <meta http-equiv="content-script-type" content="text/javascript"/> <meta name="viewport" content="width=device-width, initial-scale=1.0"/> <meta name="msapplication-config" content="/CSRC/Media/images/favicons/browserconfig.xml"/> <meta name="theme-color" content="#000000"/> <meta name="google-site-verification" content="xbrnrVYDgLD-Bd64xHLCt4XsPXzUhQ-4lGMj4TdUUTA"/> <meta description="The Standard specifies a suite of algorithms that can be used to generate a digital signature. Digital signatures are used to detect unauthorized modifications to data and to authenticate the identity of the signatory. In addition, the recipient of signed data can use a digital signature as evidence in demonstrating to a third party that the signature was, in fact, generated by the claimed signatory. This is known as non-repudiation, since the signatory cannot easily repudiate the signature at a later time. This Standard specifies three techniques for the generation and verification of digital signatures: DSA, ECDSA and RSA. This revision increases the length of the keys allowed for DSA, provides additional requirements for the use of ECDSA and RSA, and includes requirements for obtaining assurances necessary for valid digital signatures."/>  <meta name="dcterms.title" content="Federal Information Processing Standard (FIPS) 186-4, Digital Signature Standard (DSS)"/> <meta name="dcterms.description" content="The Standard specifies a suite of algorithms that can be used to generate a digital signature. Digital signatures are used to detect unauthorized modifications to data and to authenticate the identity of the signatory. In addition, the recipient of signed data can use a digital signature as evidence in demonstrating to a third party that the signature was, in fact, generated by the claimed signatory. This is known as non-repudiation, since the signatory cannot easily repudiate the signature at a later time. This Standard specifies three techniques for the generation and verification of digital signatures: DSA, ECDSA and RSA. This revision increases the length of the keys allowed for DSA, provides additional requirements for the use of ECDSA and RSA, and includes requirements for obtaining assurances necessary for valid digital signatures."/>  <meta name="dcterms.creator" content="Author: National Institute of Standards and Technology"/>  <meta name="dcterms.date.created" schema="ISO8601" content="2013-07-19"/> <meta name="dcterms.identifier" content="https://csrc.nist.gov/publications/detail/fips/186/4/final"/> <meta name="dcterms.language" scheme="DCTERMS.RFC1766" content="EN-US"/>  <meta name="citation_title" content="Digital Signature Standard (DSS)"/> <meta name="citation_publication_date" content="2013/07/19"/> <meta name="citation_doi" content="https://doi.org/10.6028/NIST.FIPS.186-4"/> <meta name="citation_technical_report_number" content="Federal Information Processing Standard (FIPS) 186-4"/> <meta name="citation_technical_report_institution" content="U.S. Department of Commerce"/> <meta name="citation_keywords" content="computer security,cryptography,Digital Signature Algorithm,digital signatures,Elliptic Curve Digital Signature Algorithm,Federal Information Processing Standard,public key cryptography"/> <meta name="citation_language" content="en"/> <meta name="citation_pdf_url" content="https://doi.org/10.6028/NIST.FIPS.186-4"/> <meta name="citation_abstract_html_url" content="https://csrc.nist.gov/publications/detail/fips/186/4/final"/>  <meta name="citation_author" content="National Institute of Standards and Technology"/>  <meta name="og:site_name" content="CSRC | NIST"/> <meta name="og:type" content="article"/> <meta name="og:url" content="https://web.archive.org/web/20211215121713im_/https://csrc.nist.gov/publications/detail/fips/186/4/final"/> <meta name="og:title" content="Federal Information Processing Standard (FIPS) 186-4, Digital Signature Standard (DSS)"/> <meta name="og:description" content="The Standard specifies a suite of algorithms that can be used to generate a digital signature. Digital signatures are used to detect unauthorized modifications to data and to authenticate the identity of the signatory. In addition, the recipient of signed data can use a digital signature as evidence in demonstrating to a third party that the signature was, in fact, generated by the claimed signatory. This is known as non-repudiation, since the signatory cannot easily repudiate the signature at a later time. This Standard specifies three techniques for the generation and verification of digital signatures: DSA, ECDSA and RSA. This revision increases the length of the keys allowed for DSA, provides additional requirements for the use of ECDSA and RSA, and includes requirements for obtaining assurances necessary for valid digital signatures."/> <meta name="article:author" content="National Institute of Standards and Technology"/> <meta name="article:tag" content="computer security,cryptography,Digital Signature Algorithm,digital signatures,Elliptic Curve Digital Signature Algorithm,Federal Information Processing Standard,public key cryptography"/> <meta name="article:published_time" content="2013-07-19"/> <meta name="og:image" content="https://web.archive.org/web/20211215121713im_/https://csrc.nist.gov/CSRC/media/images/CSRC-logo-open-graph.png"/> <link rel="apple-touch-icon" sizes="180x180" href="/web/20211215121713im_/https://csrc.nist.gov/images/icons/apple-touch-icon.png"/> <link rel="icon" type="image/png" href="/web/20211215121713im_/https://csrc.nist.gov/images/icons/favicon-32x32.png" sizes="32x32"/> <link rel="icon" type="image/png" href="/web/20211215121713im_/https://csrc.nist.gov/images/icons/favicon-16x16.png" sizes="16x16"/> <link rel="manifest" href="/web/20211215121713/https://csrc.nist.gov/images/icons/manifest.json"/> <link rel="mask-icon" href="/web/20211215121713im_/https://csrc.nist.gov/images/icons/safari-pinned-tab.svg" color="#000000"/> <link href="/web/20211215121713im_/https://csrc.nist.gov/CSRC/Media/images/favicons/favicon.ico" type="image/x-icon" rel="shortcut icon"/> <link href="/web/20211215121713im_/https://csrc.nist.gov/CSRC/Media/images/favicons/favicon.ico" type="image/x-icon" rel="icon"/>  <link href="/web/20211215121713cs_/https://csrc.nist.gov/dist/app.css" rel="stylesheet"/>  <style> .grecaptcha-badge { visibility: hidden; } </style> <script async type="text/javascript" id="_fed_an_ua_tag" src="https://web.archive.org/web/20211215121713js_/https://dap.digitalgov.gov/Universal-Federated-Analytics-Min.js?agency=nist&subagency=csrc&pua=UA-66610693-15&yt=true&exts=xsd,xml,wav,mpg,mpeg,avi,rtf,webm,ogg,ogv,oga,map,otf,eot,svg,ttf,woff"></script> <style id="antiClickjack"> body > * { display: none !important; } #antiClickjack { display: block !important; } </style> <noscript> <style id="antiClickjackNoScript"> body > * { display: block !important; } #antiClickjack { display: none !important; } </style> </noscript> <script type="text/javascript" id="antiClickjackScript"> if (self === top) { // no clickjacking var antiClickjack = document.getElementById("antiClickjack"); antiClickjack.parentNode.removeChild(antiClickjack); } else { setTimeout(tryForward(), 5000); } function tryForward() { top.location = self.location; } </script> </head> <body> <div id="antiClickjack" style="display: none;"> <strong style="font-size: 1.6rem;">You are viewing this page in an unauthorized frame window.</strong> <p>This is a potential security issue, you are being redirected to <a href="https://web.archive.org/web/20211215121713/https://csrc.nist.gov/">https://csrc.nist.gov</a>.</p> </div> <section class="usa-banner" aria-label="Official government website"> <div class="usa-accordion container"> <header class="usa-banner__header"> <noscript> <p style="font-size: 0.85rem; font-weight: bold;">You have JavaScript disabled. This site requires JavaScript to be enabled for complete site functionality.</p> </noscript> <img class="usa-banner__header-flag" src="/web/20211215121713im_/https://csrc.nist.gov/images/usbanner/us_flag_small.png" alt="U.S. flag">   <span class="usa-banner__header-text">An official website of the United States government</span> <button id="gov-banner-button" class="usa-accordion__button usa-banner__button" data-toggle="collapse" data-target="#gov-banner" aria-expanded="true" aria-controls="gov-banner"> <span class="usa-banner__button-text">Here's how you know</span> </button> </header> <div class="usa-banner__content usa-accordion__content collapse in" role="tabpanel" id="gov-banner" aria-expanded="true"> <div class="row"> <div class="col-md-5 col-sm-12"> <div class="row"> <div class="col-sm-2 col-xs-3"> <img class="usa-banner__icon usa-media-block__img" src="/web/20211215121713im_/https://csrc.nist.gov/images/usbanner/icon-dot-gov.svg" alt="Dot gov"> </div> <div class="col-sm-10 col-xs-9"> <p> <strong>Official websites use .gov</strong> <br> A <strong>.gov</strong> website belongs to an official government organization in the United States. </p> </div> </div> </div> <div class="col-md-5 col-sm-12"> <div class="row"> <div class="col-sm-2 col-xs-3"> <img class="usa-banner__icon usa-media-block__img" src="/web/20211215121713im_/https://csrc.nist.gov/images/usbanner/icon-https.svg" alt="Https"> </div> <div class="col-sm-10 col-xs-9"> <p> <strong>Secure .gov websites use HTTPS</strong> <br> A <strong>lock</strong> (<img class="usa-banner__lock" src="/web/20211215121713im_/https://csrc.nist.gov/images/usbanner/lock.svg" alt="Dot gov">) or <strong>https://</strong> means you've safely connected to the .gov website. Share sensitive information only on official, secure websites. </p> </div> </div> </div> </div> </div> </div> </section> <nav id="navbar" class="navbar"> <div id="nist-menu-container" class="container"> <div class="row">  <div class="col-xs-6 col-md-4 navbar-header"> <a class="navbar-brand" href="https://web.archive.org/web/20211215121713/https://www.nist.gov/" target="_blank" id="navbar-brand-image"> <img src="/web/20211215121713im_/https://csrc.nist.gov/CSRC/media/images/svg/nist-logo.svg" alt="National Institute of Standards and Technology" width="110" height="30"> </a> </div> <div class="col-xs-6 col-md-8 navbar-nist-logo"> <div class="form-inline hidden-sm hidden-xs"> <form name="site-search" id="site-search-form" action="/web/20211215121713/https://csrc.nist.gov/search" method="GET"> <label for="search-csrc-query" class="element-invisible">Search</label> <input autocomplete="off" class="form-control" id="search-csrc-query" name="keywords" type="text" size="15" maxlength="128" placeholder="Search CSRC"/> <input type="hidden" name="ipp" value="25"/> <input type="hidden" name="sortBy" value="relevance"/> <input type="hidden" name="showOnly" value="publications,projects,news,events,presentations,glossary,topics"/> <input type="hidden" name="topicsMatch" value="ANY"/> <input type="hidden" name="status" value="Final,Draft"/> <input type="hidden" name="series" value="FIPS,SP,NISTIR,ITL Bulletin,White Paper,Building Block,Use Case,Journal Article,Conference Paper,Book"/> <button type="submit" id="search-csrc-submit-btn" class="form-submit"> <span class="element-invisible">Search</span> <i class="fa fa-search"></i> </button> </form> </div> <span id="nvd-menu-button" class="pull-right"> <a href="#" id="nvd-menu-button-link"> <span class="fa fa-bars"></span> <span id="nvd-menu-full-text">CSRC MENU</span> </a> </span> </div> </div> </div> <div class="form-inline hidden-md hidden-lg"> <form name="site-search-mobile" id="site-search-form-mobile" action="/web/20211215121713/https://csrc.nist.gov/search" method="GET"> <label for="search-csrc-query" class="element-invisible">Search</label> <input autocomplete="off" class="form-control" id="search-csrc-query-mobile" name="keywords" type="text" size="15" maxlength="128" placeholder="Search CSRC"/> <button type="submit" id="search-csrc-submit-btn-mobile" class="form-submit"> <span class="element-invisible">Search</span> <i class="fa fa-search"></i> </button> </form> </div> <div class="main-menu-row container">  <div id="main-menu-drop" class="col-lg-12" style="display: none;"> <ul> <li><a href="/web/20211215121713/https://csrc.nist.gov/projects">Projects</a></li> <li> <a href="/web/20211215121713/https://csrc.nist.gov/publications"> Publications <span class="expander fa fa-plus" id="main-menu-pubs-expander" data-expander-name="publications" data-expanded="false"> <span class="element-invisible">Expand or Collapse</span> </span> </a> <div style="display: none;" class="sub-menu" data-expander-trigger="publications" id="main-menu-pubs-expanded"> <div class="row"> <div class="col-lg-4"> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/drafts-open-for-comment">Drafts for Public Comment</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/draft-pubs">All Public Drafts</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/final-pubs">Final Pubs</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/fips">FIPS</a></p> </div> <div class="col-lg-4"> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/sp">Special Publications (SP<small>s</small>)</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/nistir">NISTIR<small>s</small></a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/itl-bulletin">ITL Bulletins</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/white-paper">White Papers</a></p> </div> <div class="col-lg-4"> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/journal-article">Journal Articles</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/conference-paper">Conference Papers</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/publications/book">Books</a></p> </div> </div> </div> </li> <li> <a href="/web/20211215121713/https://csrc.nist.gov/topics"> Topics <span class="expander fa fa-plus" id="main-menu-topics-expander" data-expander-name="topics" data-expanded="false"> <span class="element-invisible">Expand or Collapse</span> </span> </a> <div style="display: none;" class="sub-menu" data-expander-trigger="topics" id="main-menu-topics-expanded"> <div class="row"> <div class="col-lg-4"> <p><a href="/web/20211215121713/https://csrc.nist.gov/Topics/Security-and-Privacy">Security & Privacy</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/Topics/Applications">Applications</a></p> </div> <div class="col-lg-4"> <p><a href="/web/20211215121713/https://csrc.nist.gov/Topics/Technologies">Technologies</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/Topics/Sectors">Sectors</a></p> </div> <div class="col-lg-4"> <p><a href="/web/20211215121713/https://csrc.nist.gov/Topics/Laws-and-Regulations">Laws & Regulations</a></p> <p><a href="/web/20211215121713/https://csrc.nist.gov/Topics/Activities-and-Products">Activities & Products</a></p> </div> </div> </div> </li> <li><a href="/web/20211215121713/https://csrc.nist.gov/news">News & Updates</a></li> <li><a href="/web/20211215121713/https://csrc.nist.gov/events">Events</a></li> <li><a href="/web/20211215121713/https://csrc.nist.gov/glossary">Glossary</a></li> <li> <a href="/web/20211215121713/https://csrc.nist.gov/about"> About CSRC <span class="expander fa fa-plus" id="main-menu-about-expander" data-expander-name="about" data-expanded="false"> <span class="element-invisible">Expand or Collapse</span> </span> </a> <div style="display: none;" class="sub-menu" data-expander-trigger="about" id="main-menu-about-expanded"> <div class="row"> <div class="col-lg-6"> <p> <strong><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Computer-Security-Division">Computer Security Division</a></strong><br/> <ul> <li><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Computer-Security-Division/Cryptographic-Technology">Cryptographic Technology</a></li> <li><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Computer-Security-Division/Secure-Systems-and-Applications">Secure Systems and Applications</a></li> <li><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Computer-Security-Division/Security-Components-and-Mechanisms">Security Components and Mechanisms</a></li> <li><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Computer-Security-Division/Security-Engineering-and-Risk-Management">Security Engineering and Risk Management</a></li> <li><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Computer-Security-Division/Security-Testing-Validation-and-Measurement">Security Testing, Validation, and Measurement</a></li> </ul> </p> </div> <div class="col-lg-6"> <p> <strong><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Applied-Cybersecurity-Division">Applied Cybersecurity Division</a></strong><br/> <ul> <li><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Applied-Cybersecurity-Division/Cybersecurity-and-Privacy-Applications">Cybersecurity and Privacy Applications</a></li> <li><a href="/web/20211215121713/https://csrc.nist.gov/Groups/Applied-Cybersecurity-Division/National-Cybersecurity-Center-of-Excellence">National Cybersecurity Center of Excellence (NCCoE)</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/nice/">National Initiative for Cybersecurity Education (NICE)</a></li> </ul> </p> <p> <a href="/web/20211215121713/https://csrc.nist.gov/contact"> Contact Us </a> </p> </div> </div> </div> </li> </ul> </div> </div> </nav> <section id="itl-header" class="has-menu"> <div class="container"> <div class="row"> <div class="col-sm-12 col-md-8"> <h2 class="hidden-xs hidden-sm"> <a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/itl" target="_blank" id="itl-header-link">Information Technology Laboratory</a> </h2> <h1 class="hidden-xs hidden-sm"> <a href="/web/20211215121713/https://csrc.nist.gov/" id="csrc-header-link-lg">Computer Security Resource Center</a> </h1> <h1 class="hidden-xs text-center hidden-md hidden-lg" id="csrc-header-link-md">Computer Security Resource Center</h1> </div> <div class="col-sm-12 col-md-4"> <a id="logo-csrc" href="/web/20211215121713/https://csrc.nist.gov/" style="width: 100%; text-align: center; display: block; margin-top: 1rem;"><img id="img-logo-csrc" src="/web/20211215121713im_/https://csrc.nist.gov/CSRC/Media/images/CSRC-white-134-38.png" alt="CSRC Logo" class="csrc-header-logo"></a> </div> </div> </div> </section> <div id="body-section" class="container"> <div class="publications-detail"> <ol class="breadcrumb"> <a href="/web/20211215121713/https://csrc.nist.gov/publications" class="breadcrumb-link">Publications</a> </ol> <h3 id="pub-header-display-container"> <span id="pub-header-full-display"> FIPS 186-4 </span> <i class="fa fa-pencil-square text-warning" id="pub-header-planning-note" title="See Planning Note below."></i> </h3> <h1 id="pub-title">Digital Signature Standard (DSS)</h1> <div class="page-social-buttons" id=""page-social-buttons""> <a href="#" class="social-facebook"><i class="fa fa-facebook fa-fw" aria-hidden="true"></i></a> <a href="#" class="social-twitter"><i class="fa fa-twitter fa-fw" aria-hidden="true"></i></a> </div> <p class="hidden-lg hidden-md">     <a href="#pubs-documentation" class="btn btn-lg btn-info" id="pub-topics-anchor-sm">Documentation</a>     <a href="#pubs-topics" class="btn btn-lg btn-info" id="pub-topics-anchor-sm">Topics</a> </p> <div class="row"> <div class="col-md-8 col-sm-12 publication-panel"> <p> <strong>Date Published:</strong> <span id="pub-release-date">July 2013 </span><br/> </p> <p> <strong>Supersedes:</strong> <span id="pub-supersedes-container" data-total="1"> <a href="/web/20211215121713/https://csrc.nist.gov/publications/detail/fips/186/3/archive/2009-06-25" id="pub-supersedes-0">FIPS 186-3 (06/25/2009)</a> </span><br/> </p> <p> <strong>Planning Note (<span id="pub-planning-note-date">11/3/2020</span>):</strong> <i class="fa fa-pencil-square text-warning" id="pub-planning-note-icon"></i> <span id="pub-planning-note"><p>A typographical error has been identified in Section C.2.1 on page 68.  The rule described in the first sentence ends "<span class="math-tex">\( \ldots + (n_{1} * 2) + x_{n}.\)</span>" The correct notation is " <span class="math-tex">\(\dots + (x_{n-1} * 2) + x_n.\)</span>"</p> <p>This correction will be incorporated in the upcoming publication of the Digital Signature Standard, in <a data-csrc-pub-link="true" data-pub-guid="aab89cbd-3a7c-459f-8a0c-d3ecba4d7a48" href="/web/20211215121713/https://csrc.nist.gov/publications/detail/fips/186/5/draft">FIPS 186-5</a>.</p> </span><br/> </p> <h4>Author(s)</h4> <p> <strong id="pub-authors-container" data-total="1"> <span id="pub-author-0">National Institute of Standards and Technology</span> </strong> </p> <div class="bs-callout bs-callout-success pub-abstract-callout"> <h4 id="pubs-abstract-header">Abstract</h4> <div class="hidden-sm hidden-xs hidden-xxs" id="pub-detail-abstract-info"><p>The Standard specifies a suite of algorithms that can be used to generate a digital signature. Digital signatures are used to detect unauthorized modifications to data and to authenticate the identity of the signatory. In addition, the recipient of signed data can use a digital signature as evidence in demonstrating to a third party that the signature was, in fact, generated by the claimed signatory. This is known as non-repudiation, since the signatory cannot easily repudiate the signature at a later time. This Standard specifies three techniques for the generation and verification of digital signatures: DSA, ECDSA and RSA. This revision increases the length of the keys allowed for DSA, provides additional requirements for the use of ECDSA and RSA, and includes requirements for obtaining assurances necessary for valid digital signatures.</p></div> <div class="hidden-lg hidden-md"> <div id="pub-detail-abstract-min"> The Standard specifies a suite of algorithms that can be used to generate a digital signature. Digital signatures are used to detect unauthorized modifications to data and to authenticate the identity of the signatory. In addition, the recipient of signed data can use a digital signature as evidence... <a href="#pubs-abstract-header" id="pub-detail-abs-show">See full abstract</a> </div> <div id="pub-detail-abstract-all" style="display: none;"> <p>The Standard specifies a suite of algorithms that can be used to generate a digital signature. Digital signatures are used to detect unauthorized modifications to data and to authenticate the identity of the signatory. In addition, the recipient of signed data can use a digital signature as evidence in demonstrating to a third party that the signature was, in fact, generated by the claimed signatory. This is known as non-repudiation, since the signatory cannot easily repudiate the signature at a later time. This Standard specifies three techniques for the generation and verification of digital signatures: DSA, ECDSA and RSA. This revision increases the length of the keys allowed for DSA, provides additional requirements for the use of ECDSA and RSA, and includes requirements for obtaining assurances necessary for valid digital signatures.</p><br/> <a href="#pubs-abstract-header" id="pub-detail-abs-hide">Hide full abstract</a> </div> </div> <h4>Keywords</h4> <span id="pub-keywords-container" data-total="7"> <span id="pub-keyword-0">computer security</span>; <span id="pub-keyword-1">cryptography</span>; <span id="pub-keyword-2">Digital Signature Algorithm</span>; <span id="pub-keyword-3">digital signatures</span>; <span id="pub-keyword-4">Elliptic Curve Digital Signature Algorithm</span>; <span id="pub-keyword-5">Federal Information Processing Standard</span>; <span id="pub-keyword-6">public key cryptography</span> </span> </div> <h5>Control Families</h5> <p> <span id="pub-control-fam-container" data-total="1"> <span id="pub-control-fam-0">System and Communications Protection</span> </span> </p> </div> <div class="col-md-4 col-sm-12"> <div class="bs-callout bs-callout-success" id="pubs-documentation"> <h4>Documentation</h4> <p> <strong>Publication:</strong><br/> <a href="https://web.archive.org/web/20211215121713/https://doi.org/10.6028/NIST.FIPS.186-4" data-identity="first-link-display" id="pub-doc-0"><i class="fa fa-external-link" aria-hidden="true"></i> FIPS 186-4 (DOI)</a><br/> <a href="https://web.archive.org/web/20211215121713/https://nvlpubs.nist.gov/nistpubs/FIPS/NIST.FIPS.186-4.pdf" data-identity="second-link-display" id="pub-doc-1"><i class="fa fa-file-pdf-o"></i> Local Download</a><br/> </p> <p> <strong>Supplemental Material:</strong><br/> <span id="pub-supp-container" data-total="5"> <a href="/web/20211215121713/https://csrc.nist.gov/CSRC/media/Publications/fips/186/4/final/documents/comments-received-fips186-4-december-2015.pdf" id="pub-supp-link-0"><i class="fa fa-file-pdf-o"></i> Comments received on FIPS 186-4 (Dec. 2015) (pdf)</a> <br/> <a href="https://web.archive.org/web/20211215121713/https://federalregister.gov/a/2015-26539" id="pub-supp-link-1"><i class="fa fa-file"></i> Request for Comments on FIPS 186-4 (Oct. 2015) (other)</a> <br/> <a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/news-events/news/2013/07/nist-releases-updates-digital-signature-standard" id="pub-supp-link-2"><i class="fa fa-file"></i> Press Release (07-23-2013) (other)</a> <br/> <a href="/web/20211215121713/https://csrc.nist.gov/CSRC/media/Publications/fips/186/4/final/documents/change-notice_fips-186-3.pdf" id="pub-supp-link-3"><i class="fa fa-file-pdf-o"></i> Proposed Change Notice for FIPS 186-3 (Apr. 2012) (pdf)</a> <br/> <a href="https://web.archive.org/web/20211215121713/https://www.federalregister.gov/d/2012-8573" id="pub-supp-link-4"><i class="fa fa-file"></i> Request for Comments on Proposed Change Notice (Apr. 2012) (other)</a> <br/> </span> </p> <p> <strong>Related NIST Publications:</strong><br/> <span id="pub-related-container" data-total="1"> <a href="/web/20211215121713/https://csrc.nist.gov/publications/detail/sp/800-56a/rev-2/archive/2013-06-05" id="pub-related-link-0">SP 800-56A Rev. 2</a><br/> </span> </p> <p> <strong>Document History:</strong><br/> <span id="pub-history-container" data-total="1"> 07/19/13: <span id="pub-history-link-0" data-current-document="true">FIPS 186-4 (Final)</span><br/> </span> </p> </div> <div class="bs-callout bs-callout-danger" id="pubs-topics"> <h4>Topics</h4> <span id="pub-categories-container" data-total="1"> <p> <strong id="pub-cat-0">Security and Privacy</strong><br/> <span id="pub-cat-top-container-0" data-total="2"> <a href="/web/20211215121713/https://csrc.nist.gov/Topics/Security-and-Privacy/identity-and-access-management/authentication" id="pub-cat-top-0-0">authentication</a>; <a href="/web/20211215121713/https://csrc.nist.gov/Topics/Security-and-Privacy/cryptography/digital-signatures" id="pub-cat-top-0-1">digital signatures</a> </span> </p> </span> </div> </div> </div> </div> <div id="footer-pusher"></div> </div> <footer id="footer"> <div class="container"> <div class="row"> <div class="col-sm-6"> <span class="hidden-xs"> <a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/" title="National Institute of Standards and Technology" rel="home" target="_blank" class="footer-nist-logo" id="footer-nist-logo-link"> <img src="/web/20211215121713im_/https://csrc.nist.gov/CSRC/Media/images/logo_rev.png" alt="National Institute of Standards and Technology logo" id="footer-nist-logo"/> </a> </span> <div class="row footer-contact-container"> <div class="col-sm-12" id="footer-address"> <strong>HEADQUARTERS</strong><br> 100 Bureau Drive<br> Gaithersburg, MD 20899 </div> </div> </div> <div class="col-sm-6"> <ul class="social-list text-right" style="display: block;"> <li class="field-item service-twitter list-horiz"> <a href="https://web.archive.org/web/20211215121713/https://twitter.com/NISTCyber" class="social-btn social-btn--large extlink ext" id="footer-social-twitter-link"> <i class="fa fa-twitter fa-fw"><span class="element-invisible">twitter</span></i><span class="ext"><span class="element-invisible"> (link is external)</span></span> </a> </li> <li class="field-item service-facebook list-horiz"> <a href="https://web.archive.org/web/20211215121713/https://www.facebook.com/NIST" class="social-btn social-btn--large extlink ext" id="footer-social-facebook-link"> <i class="fa fa-facebook fa-fw"><span class="element-invisible">facebook</span></i><span class="ext"><span class="element-invisible"> (link is external)</span></span> </a> </li> <li class="field-item service-linkedin list-horiz"> <a href="https://web.archive.org/web/20211215121713/https://www.linkedin.com/company/nist" class="social-btn social-btn--large extlink ext" id="footer-social-linkedin-link"> <i class="fa fa-linkedin fa-fw"><span class="element-invisible">linkedin</span></i><span class="ext"><span class="element-invisible"> (link is external)</span></span> </a> </li> <li class="field-item service-instagram list-horiz"> <a href="https://web.archive.org/web/20211215121713/https://www.instagram.com/usnistgov/" class="social-btn social-btn--large extlink ext" id="footer-social-instagram-link"> <i class="fa fa-instagram fa-fw"><span class="element-invisible">instagram</span></i> <span class="ext"><span class="element-invisible"> (link is external)</span></span> </a> </li> <li class="field-item service-youtube list-horiz"> <a href="https://web.archive.org/web/20211215121713/https://www.youtube.com/user/USNISTGOV" class="social-btn social-btn--large extlink ext" id="footer-social-youtube-link"> <i class="fa fa-youtube fa-fw"><span class="element-invisible">youtube</span></i><span class="ext"><span class="element-invisible"> (link is external)</span></span> </a> </li> <li class="field-item service-rss list-horiz"> <a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/news-events/nist-rss-feeds" class="social-btn social-btn--large extlink" id="footer-social-rss-link"> <i class="fa fa-rss fa-fw"><span class="element-invisible">rss</span></i> </a> </li> <li class="field-item service-govdelivery list-horiz last"> <a href="https://web.archive.org/web/20211215121713/https://public.govdelivery.com/accounts/USNIST/subscriber/new?qsp=USNIST_3" class="social-btn social-btn--large extlink ext" title="Subscribe to CSRC and publication updates, and other NIST cybersecurity news" id="footer-social-govdelivery-link"> <i class="fa fa-envelope fa-fw"><span class="element-invisible">govdelivery</span></i><span class="ext"><span class="element-invisible"> (link is external)</span></span> </a> </li> </ul> <p class="text-right"> Want updates about CSRC and our publications? <a href="https://web.archive.org/web/20211215121713/https://public.govdelivery.com/accounts/USNIST/subscriber/new?qsp=USNIST_3" class="btn btn-lg btn-info" style="background-color: #12659c!important; border-color: #12659c!important;" id="footer-subscribe-link">Subscribe</a> </p> </div> </div> <div class="row hidden-sm hidden-md hidden-lg"> <div class="col-sm-12"> <a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/" title="National Institute of Standards and Technology" rel="home" target="_blank" class="footer-nist-logo" id="footer-bottom-nist-logo-link"> <img src="/web/20211215121713im_/https://csrc.nist.gov/CSRC/Media/images/logo_rev.png" alt="National Institute of Standards and Technology logo" id="footer-bottom-nist-logo"/> </a> </div> </div> <div class="row"> <div class="col-sm-6"> <p> <a href="https://web.archive.org/web/20211215121713/mailto:webmaster-csrc@nist.gov?subject=CSRC Inquiry" id="footer-webmaster-link">Webmaster</a> | <a href="/web/20211215121713/https://csrc.nist.gov/about/contact" id="footer-contact-us-link">Contact Us</a> | <a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/about-nist/our-organization" style="display: inline-block;" id="footer-org-link">Our Other Offices</a> </p> </div> <div class="col-sm-6"> <span class="pull-right text-right"> Contact CSRC Webmaster: <a href="https://web.archive.org/web/20211215121713/mailto:webmaster-csrc@nist.gov?subject=CSRC Inquiry" style="display: inline-block;" id="footer-info-webmaster-link">webmaster-csrc@nist.gov</a> </span> </div> </div> <div class="row"> <div class="footer-bottom-links-container" id="footer-bottom-links-container"> <ul> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/privacy-policy">Site Privacy</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/oism/accessibility">Accessibility</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/privacy">Privacy Program</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/oism/copyrights">Copyrights</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.commerce.gov/vulnerability-disclosure-policy">Vulnerability Disclosure</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/no-fear-act-policy">No Fear Act Policy</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/foia">FOIA</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/environmental-policy-statement">Environmental Policy</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/summary-report-scientific-integrity">Scientific Integrity</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.nist.gov/nist-information-quality-standards">Information Quality Standards</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.commerce.gov/">Commerce.gov</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.science.gov/">Science.gov</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://www.usa.gov/">USA.gov</a></li> <li><a href="https://web.archive.org/web/20211215121713/https://vote.gov/">Vote.gov</a></li> </ul> </div> </div> </div> </footer> <script type="text/javascript" src="/web/20211215121713js_/https://csrc.nist.gov/dist/js/quick-collapse.js"></script> <script type="text/javascript" src="/web/20211215121713js_/https://csrc.nist.gov/dist/app.bundle.js"></script>   <script defer src="https://web.archive.org/web/20211215121713js_/https://www.google.com/recaptcha/api.js?render=6LcQo40UAAAAAJpAj4X-i-WfOzdbu6d7j7kKryDS"></script> </body> </html>

CINXE.COM

FIPS 186-4, Digital Signature Standard (DSS) | CSRC