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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN"><html><head><meta http-equiv="Content-Type" content="text/html;charset=UTF-8"><title>Crypto++: GF2NP Class Reference</title><link href="doxygen.css" rel="stylesheet" type="text/css"><link href="tabs.css" rel="stylesheet" type="text/css"></head><body><!-- Generated by Doxygen 1.5.2 --><div class="tabs">  <ul>    <li><a href="index.html"><span>Main&nbsp;Page</span></a></li>    <li><a href="namespaces.html"><span>Namespaces</span></a></li>    <li class="current"><a href="classes.html"><span>Classes</span></a></li>    <li><a href="files.html"><span>Files</span></a></li>  </ul></div><div class="tabs">  <ul>    <li><a href="classes.html"><span>Alphabetical&nbsp;List</span></a></li>    <li><a href="annotated.html"><span>Class&nbsp;List</span></a></li>    <li><a href="hierarchy.html"><span>Class&nbsp;Hierarchy</span></a></li>    <li><a href="functions.html"><span>Class&nbsp;Members</span></a></li>  </ul></div><h1>GF2NP Class Reference</h1><!-- doxytag: class="GF2NP" --><!-- doxytag: inherits="QuotientRing&lt; EuclideanDomainOf&lt; PolynomialMod2 &gt; &gt;" --><code>#include &lt;<a class="el" href="gf2n_8h-source.html">gf2n.h</a>&gt;</code><p><p>Inheritance diagram for GF2NP:<p><center><img src="class_g_f2_n_p.png" usemap="#GF2NP_map" border="0" alt=""></center><map name="GF2NP_map"><area href="class_quotient_ring.html" alt="QuotientRing< EuclideanDomainOf< PolynomialMod2 > >" shape="rect" coords="203,112,600,136"><area href="class_abstract_ring.html" alt="AbstractRing< EuclideanDomainOf< PolynomialMod2 >::Element >" shape="rect" coords="203,56,600,80"><area href="class_abstract_group.html" alt="AbstractGroup< EuclideanDomainOf< PolynomialMod2 >::Element >" shape="rect" coords="203,0,600,24"><area href="class_g_f2_n_p_p.html" alt="GF2NPP" shape="rect" coords="0,224,397,248"><area href="class_g_f2_n_t.html" alt="GF2NT" shape="rect" coords="407,224,804,248"></map><a href="class_g_f2_n_p-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>GF(2^n) with Polynomial Basis. <p><p>Definition at line <a class="el" href="gf2n_8h-source.html#l00281">281</a> of file <a class="el" href="gf2n_8h-source.html">gf2n.h</a>.<table border="0" cellpadding="0" cellspacing="0"><tr><td></td></tr><tr><td colspan="2"><br><h2>Public Types</h2></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="eba485b8efc03cb16525c389519833e1"></a><!-- doxytag: member="GF2NP::EuclideanDomain" ref="eba485b8efc03cb16525c389519833e1" args="" -->typedef <a class="el" href="class_euclidean_domain_of.html">EuclideanDomainOf</a>&lt;<br> <a class="el" href="class_polynomial_mod2.html">PolynomialMod2</a> &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quotient_ring.html#eba485b8efc03cb16525c389519833e1">EuclideanDomain</a></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a5fc43636ce1b8ab3c8aa4ec309242e0"></a><!-- doxytag: member="GF2NP::Element" ref="a5fc43636ce1b8ab3c8aa4ec309242e0" args="" -->typedef <a class="el" href="class_euclidean_domain_of.html">EuclideanDomainOf</a>&lt;<br> <a class="el" href="class_polynomial_mod2.html">PolynomialMod2</a> &gt;::<a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a></td></tr><tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="17c7806095a9fa5ed8da633cc166a3f2"></a><!-- doxytag: member="GF2NP::GF2NP" ref="17c7806095a9fa5ed8da633cc166a3f2" args="(const PolynomialMod2 &amp;modulus)" -->&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#17c7806095a9fa5ed8da633cc166a3f2">GF2NP</a> (const <a class="el" href="class_polynomial_mod2.html">PolynomialMod2</a> &amp;modulus)</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a882b0e903bc9a92ec35f81ef8c9e3ff"></a><!-- doxytag: member="GF2NP::Clone" ref="a882b0e903bc9a92ec35f81ef8c9e3ff" args="() const" -->virtual <a class="el" href="class_g_f2_n_p.html">GF2NP</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#a882b0e903bc9a92ec35f81ef8c9e3ff">Clone</a> () const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c29895f70ffbceeaa3f9460cdaae3685"></a><!-- doxytag: member="GF2NP::DEREncode" ref="c29895f70ffbceeaa3f9460cdaae3685" args="(BufferedTransformation &amp;bt) const " -->virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#c29895f70ffbceeaa3f9460cdaae3685">DEREncode</a> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;bt) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="50111212053796f53b1b35b4678b1ede"></a><!-- doxytag: member="GF2NP::DEREncodeElement" ref="50111212053796f53b1b35b4678b1ede" args="(BufferedTransformation &amp;out, const Element &amp;a) const " -->void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#50111212053796f53b1b35b4678b1ede">DEREncodeElement</a> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;out, const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a46052b02995de9a8c2a12a1a7ad7533"></a><!-- doxytag: member="GF2NP::BERDecodeElement" ref="a46052b02995de9a8c2a12a1a7ad7533" args="(BufferedTransformation &amp;in, Element &amp;a) const" -->void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#a46052b02995de9a8c2a12a1a7ad7533">BERDecodeElement</a> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;in, <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a) const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="6e1d77aefacee1a620dee8f1299cee9b"></a><!-- doxytag: member="GF2NP::Equal" ref="6e1d77aefacee1a620dee8f1299cee9b" args="(const Element &amp;a, const Element &amp;b) const" -->bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#6e1d77aefacee1a620dee8f1299cee9b">Equal</a> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a, const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;b) const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="4eb48ee2cd703818c84d531308e47546"></a><!-- doxytag: member="GF2NP::IsUnit" ref="4eb48ee2cd703818c84d531308e47546" args="(const Element &amp;a) const " -->bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#4eb48ee2cd703818c84d531308e47546">IsUnit</a> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e4a472d5d24354f4130428dece8aa726"></a><!-- doxytag: member="GF2NP::MaxElementBitLength" ref="e4a472d5d24354f4130428dece8aa726" args="() const" -->unsigned int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#e4a472d5d24354f4130428dece8aa726">MaxElementBitLength</a> () const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="9db342e042aa64b3528e877c8d7210de"></a><!-- doxytag: member="GF2NP::MaxElementByteLength" ref="9db342e042aa64b3528e877c8d7210de" args="() const" -->unsigned int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#9db342e042aa64b3528e877c8d7210de">MaxElementByteLength</a> () const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="3773fda3605db932623a4a3138498040"></a><!-- doxytag: member="GF2NP::SquareRoot" ref="3773fda3605db932623a4a3138498040" args="(const Element &amp;a) const " --><a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#3773fda3605db932623a4a3138498040">SquareRoot</a> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="201782096f78be22d4a0532643e0a0fd"></a><!-- doxytag: member="GF2NP::HalfTrace" ref="201782096f78be22d4a0532643e0a0fd" args="(const Element &amp;a) const " --><a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#201782096f78be22d4a0532643e0a0fd">HalfTrace</a> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="349a067c766caf6b98678d51cfa1de03"></a><!-- doxytag: member="GF2NP::SolveQuadraticEquation" ref="349a067c766caf6b98678d51cfa1de03" args="(const Element &amp;a) const " --><a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#349a067c766caf6b98678d51cfa1de03">SolveQuadraticEquation</a> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7351765fe7217917c25b40bfd29cb7ce"></a><!-- doxytag: member="GF2NP::GetDomain" ref="7351765fe7217917c25b40bfd29cb7ce" args="() const" -->const <a class="el" href="class_quotient_ring.html#eba485b8efc03cb16525c389519833e1">EuclideanDomain</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quotient_ring.html#7351765fe7217917c25b40bfd29cb7ce">GetDomain</a> () const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="251c7b3cdd89ceddd25fb92df81b07c4"></a><!-- doxytag: member="GF2NP::GetModulus" ref="251c7b3cdd89ceddd25fb92df81b07c4" args="() const" -->const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quotient_ring.html#251c7b3cdd89ceddd25fb92df81b07c4">GetModulus</a> () const</td></tr>

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