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@dedis/kyber

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A typescript implementation of Kyber interfaces

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<!doctype html> <html class="default no-js"> <head> <meta charset="utf-8"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title>&quot;utils/tonelli-shanks&quot; | @dedis/kyber</title> <meta name="description" content=""> <meta name="viewport" content="width=device-width, initial-scale=1"> <link rel="stylesheet" href="../assets/css/main.css"> </head> <body> <header> <div class="tsd-page-toolbar"> <div class="container"> <div class="table-wrap"> <div class="table-cell" id="tsd-search" data-index="../assets/js/search.js" data-base=".."> <div class="field"> <label for="tsd-search-field" class="tsd-widget search no-caption">Search</label> <input id="tsd-search-field" type="text" /> </div> <ul class="results"> <li class="state loading">Preparing search index...</li> <li class="state failure">The search index is not available</li> </ul> <a href="../index.html" class="title">@dedis/kyber</a> </div> <div class="table-cell" id="tsd-widgets"> <div id="tsd-filter"> <a href="#" class="tsd-widget options no-caption" data-toggle="options">Options</a> <div class="tsd-filter-group"> <div class="tsd-select" id="tsd-filter-visibility"> <span class="tsd-select-label">All</span> <ul class="tsd-select-list"> <li data-value="public">Public</li> <li data-value="protected">Public/Protected</li> <li data-value="private" class="selected">All</li> </ul> </div> <input type="checkbox" id="tsd-filter-inherited" checked /> <label class="tsd-widget" for="tsd-filter-inherited">Inherited</label> <input type="checkbox" id="tsd-filter-externals" checked /> <label class="tsd-widget" for="tsd-filter-externals">Externals</label> <input type="checkbox" id="tsd-filter-only-exported" /> <label class="tsd-widget" for="tsd-filter-only-exported">Only exported</label> </div> </div> <a href="#" class="tsd-widget menu no-caption" data-toggle="menu">Menu</a> </div> </div> </div> </div> <div class="tsd-page-title"> <div class="container"> <ul class="tsd-breadcrumb"> <li> <a href="../globals.html">Globals</a> </li> <li> <a href="_utils_tonelli_shanks_.html">&quot;utils/tonelli-shanks&quot;</a> </li> </ul> <h1>External module &quot;utils/tonelli-shanks&quot;</h1> </div> </div> </header> <div class="container container-main"> <div class="row"> <div class="col-8 col-content"> <section class="tsd-panel-group tsd-index-group"> <h2>Index</h2> <section class="tsd-panel tsd-index-panel"> <div class="tsd-index-content"> <section class="tsd-index-section tsd-is-not-exported"> <h3>Variables</h3> <ul class="tsd-index-list"> <li class="tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"><a href="_utils_tonelli_shanks_.html#four" class="tsd-kind-icon">FOUR</a></li> <li class="tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"><a href="_utils_tonelli_shanks_.html#one" class="tsd-kind-icon">ONE</a></li> <li class="tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"><a href="_utils_tonelli_shanks_.html#two" class="tsd-kind-icon">TWO</a></li> <li class="tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"><a href="_utils_tonelli_shanks_.html#zero" class="tsd-kind-icon">ZERO</a></li> </ul> </section> <section class="tsd-index-section "> <h3>Functions</h3> <ul class="tsd-index-list"> <li class="tsd-kind-function tsd-parent-kind-external-module tsd-is-not-exported"><a href="_utils_tonelli_shanks_.html#ls" class="tsd-kind-icon">ls</a></li> <li class="tsd-kind-function tsd-parent-kind-external-module"><a href="_utils_tonelli_shanks_.html#modsqrt" class="tsd-kind-icon">mod<wbr>Sqrt</a></li> <li class="tsd-kind-function tsd-parent-kind-external-module tsd-is-not-exported"><a href="_utils_tonelli_shanks_.html#powmod" class="tsd-kind-icon">pow<wbr>Mod</a></li> </ul> </section> </div> </section> </section> <section class="tsd-panel-group tsd-member-group tsd-is-not-exported"> <h2>Variables</h2> <section class="tsd-panel tsd-member tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"> <a name="four" class="tsd-anchor"></a> <h3><span class="tsd-flag ts-flagConst">Const</span> FOUR</h3> <div class="tsd-signature tsd-kind-icon">FOUR<span class="tsd-signature-symbol">:</span> <span class="tsd-signature-type">BN</span><span class="tsd-signature-symbol"> =&nbsp;new BN(4)</span></div> <aside class="tsd-sources"> <ul> <li>Defined in <a href="https://github.com/dedis/cothority/blob/bad37ffbb/external/js/kyber/src/utils/tonelli-shanks.ts#L7">utils/tonelli-shanks.ts:7</a></li> </ul> </aside> </section> <section class="tsd-panel tsd-member tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"> <a name="one" class="tsd-anchor"></a> <h3><span class="tsd-flag ts-flagConst">Const</span> ONE</h3> <div class="tsd-signature tsd-kind-icon">ONE<span class="tsd-signature-symbol">:</span> <span class="tsd-signature-type">BN</span><span class="tsd-signature-symbol"> =&nbsp;oneBN</span></div> <aside class="tsd-sources"> <ul> <li>Defined in <a href="https://github.com/dedis/cothority/blob/bad37ffbb/external/js/kyber/src/utils/tonelli-shanks.ts#L5">utils/tonelli-shanks.ts:5</a></li> </ul> </aside> </section> <section class="tsd-panel tsd-member tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"> <a name="two" class="tsd-anchor"></a> <h3><span class="tsd-flag ts-flagConst">Const</span> TWO</h3> <div class="tsd-signature tsd-kind-icon">TWO<span class="tsd-signature-symbol">:</span> <span class="tsd-signature-type">BN</span><span class="tsd-signature-symbol"> =&nbsp;new BN(2)</span></div> <aside class="tsd-sources"> <ul> <li>Defined in <a href="https://github.com/dedis/cothority/blob/bad37ffbb/external/js/kyber/src/utils/tonelli-shanks.ts#L6">utils/tonelli-shanks.ts:6</a></li> </ul> </aside> </section> <section class="tsd-panel tsd-member tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"> <a name="zero" class="tsd-anchor"></a> <h3><span class="tsd-flag ts-flagConst">Const</span> ZERO</h3> <div class="tsd-signature tsd-kind-icon">ZERO<span class="tsd-signature-symbol">:</span> <span class="tsd-signature-type">BN</span><span class="tsd-signature-symbol"> =&nbsp;zeroBN</span></div> <aside class="tsd-sources"> <ul> <li>Defined in <a href="https://github.com/dedis/cothority/blob/bad37ffbb/external/js/kyber/src/utils/tonelli-shanks.ts#L4">utils/tonelli-shanks.ts:4</a></li> </ul> </aside> </section> </section> <section class="tsd-panel-group tsd-member-group "> <h2>Functions</h2> <section class="tsd-panel tsd-member tsd-kind-function tsd-parent-kind-external-module tsd-is-not-exported"> <a name="ls" class="tsd-anchor"></a> <h3>ls</h3> <ul class="tsd-signatures tsd-kind-function tsd-parent-kind-external-module tsd-is-not-exported"> <li class="tsd-signature tsd-kind-icon">ls<span class="tsd-signature-symbol">(</span>a<span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">BN</span>, p<span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">BN</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">BN</span></li> </ul> <ul class="tsd-descriptions"> <li class="tsd-description"> <aside class="tsd-sources"> <ul> <li>Defined in <a href="https://github.com/dedis/cothority/blob/bad37ffbb/external/js/kyber/src/utils/tonelli-shanks.ts#L13">utils/tonelli-shanks.ts:13</a></li> </ul> </aside> <h4 class="tsd-parameters-title">Parameters</h4> <ul class="tsd-parameters"> <li> <h5>a: <span class="tsd-signature-type">BN</span></h5> </li> <li> <h5>p: <span class="tsd-signature-type">BN</span></h5> </li> </ul> <h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">BN</span></h4> </li> </ul> </section> <section class="tsd-panel tsd-member tsd-kind-function tsd-parent-kind-external-module"> <a name="modsqrt" class="tsd-anchor"></a> <h3>mod<wbr>Sqrt</h3> <ul class="tsd-signatures tsd-kind-function tsd-parent-kind-external-module"> <li class="tsd-signature tsd-kind-icon">mod<wbr>Sqrt<span class="tsd-signature-symbol">(</span>n<span class="tsd-signature-symbol">: </span><a href="_constants_.html#bntype" class="tsd-signature-type">BNType</a>, p<span class="tsd-signature-symbol">: </span><a href="_constants_.html#bntype" class="tsd-signature-type">BNType</a><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">BN</span></li> </ul> <ul class="tsd-descriptions"> <li class="tsd-description"> <aside class="tsd-sources"> <ul> <li>Defined in <a href="https://github.com/dedis/cothority/blob/bad37ffbb/external/js/kyber/src/utils/tonelli-shanks.ts#L23">utils/tonelli-shanks.ts:23</a></li> </ul> </aside> <h4 class="tsd-parameters-title">Parameters</h4> <ul class="tsd-parameters"> <li> <h5>n: <a href="_constants_.html#bntype" class="tsd-signature-type">BNType</a></h5> </li> <li> <h5>p: <a href="_constants_.html#bntype" class="tsd-signature-type">BNType</a></h5> </li> </ul> <h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">BN</span></h4> </li> </ul> </section> <section class="tsd-panel tsd-member tsd-kind-function tsd-parent-kind-external-module tsd-is-not-exported"> <a name="powmod" class="tsd-anchor"></a> <h3>pow<wbr>Mod</h3> <ul class="tsd-signatures tsd-kind-function tsd-parent-kind-external-module tsd-is-not-exported"> <li class="tsd-signature tsd-kind-icon">pow<wbr>Mod<span class="tsd-signature-symbol">(</span>a<span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">BN</span>, e<span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">BN</span>, p<span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">BN</span><span class="tsd-signature-symbol">)</span><span class="tsd-signature-symbol">: </span><span class="tsd-signature-type">BN</span></li> </ul> <ul class="tsd-descriptions"> <li class="tsd-description"> <aside class="tsd-sources"> <ul> <li>Defined in <a href="https://github.com/dedis/cothority/blob/bad37ffbb/external/js/kyber/src/utils/tonelli-shanks.ts#L9">utils/tonelli-shanks.ts:9</a></li> </ul> </aside> <h4 class="tsd-parameters-title">Parameters</h4> <ul class="tsd-parameters"> <li> <h5>a: <span class="tsd-signature-type">BN</span></h5> </li> <li> <h5>e: <span class="tsd-signature-type">BN</span></h5> </li> <li> <h5>p: <span class="tsd-signature-type">BN</span></h5> </li> </ul> <h4 class="tsd-returns-title">Returns <span class="tsd-signature-type">BN</span></h4> </li> </ul> </section> </section> </div> <div class="col-4 col-menu menu-sticky-wrap menu-highlight"> <nav class="tsd-navigation primary"> <ul> <li class="globals "> <a href="../globals.html"><em>Globals</em></a> </li> <li class="current tsd-kind-external-module"> <a href="_utils_tonelli_shanks_.html">"utils/tonelli-<wbr>shanks"</a> </li> </ul> </nav> <nav class="tsd-navigation secondary menu-sticky"> <ul class="before-current"> <li class=" tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"> <a href="_utils_tonelli_shanks_.html#four" class="tsd-kind-icon">FOUR</a> </li> <li class=" tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"> <a href="_utils_tonelli_shanks_.html#one" class="tsd-kind-icon">ONE</a> </li> <li class=" tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"> <a href="_utils_tonelli_shanks_.html#two" class="tsd-kind-icon">TWO</a> </li> <li class=" tsd-kind-variable tsd-parent-kind-external-module tsd-is-not-exported"> <a href="_utils_tonelli_shanks_.html#zero" class="tsd-kind-icon">ZERO</a> </li> <li class=" tsd-kind-function tsd-parent-kind-external-module tsd-is-not-exported"> <a href="_utils_tonelli_shanks_.html#ls" class="tsd-kind-icon">ls</a> </li> <li class=" tsd-kind-function tsd-parent-kind-external-module"> <a href="_utils_tonelli_shanks_.html#modsqrt" class="tsd-kind-icon">mod<wbr>Sqrt</a> </li> <li class=" tsd-kind-function tsd-parent-kind-external-module tsd-is-not-exported"> <a href="_utils_tonelli_shanks_.html#powmod" class="tsd-kind-icon">pow<wbr>Mod</a> </li> </ul> </nav> </div> </div> </div> <footer class="with-border-bottom"> <div class="container"> <h2>Legend</h2> <div class="tsd-legend-group"> <ul class="tsd-legend"> <li class="tsd-kind-module"><span class="tsd-kind-icon">Module</span></li> <li class="tsd-kind-object-literal"><span class="tsd-kind-icon">Object literal</span></li> <li class="tsd-kind-variable"><span class="tsd-kind-icon">Variable</span></li> <li class="tsd-kind-function"><span class="tsd-kind-icon">Function</span></li> <li class="tsd-kind-function tsd-has-type-parameter"><span class="tsd-kind-icon">Function with type parameter</span></li> <li class="tsd-kind-index-signature"><span class="tsd-kind-icon">Index signature</span></li> <li class="tsd-kind-type-alias"><span class="tsd-kind-icon">Type alias</span></li> <li class="tsd-kind-type-alias tsd-has-type-parameter"><span class="tsd-kind-icon">Type alias with 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