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<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="GF2NT::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="GF2NT::GetDomain" ref="7351765fe7217917c25b40bfd29cb7ce" args="() const" -->const <a class="el" href="class_euclidean_domain_of.html">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="GF2NT::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><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="80815f5757c80106ae7dc2db2799b835"></a><!-- doxytag: member="GF2NT::Identity" ref="80815f5757c80106ae7dc2db2799b835" 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#80815f5757c80106ae7dc2db2799b835">Identity</a> () const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e373c31fe91c497e9eabd2c33b70ed98"></a><!-- doxytag: member="GF2NT::Add" ref="e373c31fe91c497e9eabd2c33b70ed98" args="(const Element &amp;a, const Element &amp;b) 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#e373c31fe91c497e9eabd2c33b70ed98">Add</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="516445c6cd0a881edc97de6fc99ea4a7"></a><!-- doxytag: member="GF2NT::Accumulate" ref="516445c6cd0a881edc97de6fc99ea4a7" args="(Element &amp;a, const Element &amp;b) 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#516445c6cd0a881edc97de6fc99ea4a7">Accumulate</a> (<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="32a8f4858aa802ef080984b5a00be015"></a><!-- doxytag: member="GF2NT::Inverse" ref="32a8f4858aa802ef080984b5a00be015" args="(const Element &amp;a) 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#32a8f4858aa802ef080984b5a00be015">Inverse</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="08834bbb0829ab02b7f33fd1fd6ef65a"></a><!-- doxytag: member="GF2NT::Subtract" ref="08834bbb0829ab02b7f33fd1fd6ef65a" args="(const Element &amp;a, const Element &amp;b) 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#08834bbb0829ab02b7f33fd1fd6ef65a">Subtract</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="3f91d1daa995dbe41f7526d88c377977"></a><!-- doxytag: member="GF2NT::Reduce" ref="3f91d1daa995dbe41f7526d88c377977" args="(Element &amp;a, const Element &amp;b) 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#3f91d1daa995dbe41f7526d88c377977">Reduce</a> (<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="8789051cffe054f0edf5e9ac7d9cb686"></a><!-- doxytag: member="GF2NT::Double" ref="8789051cffe054f0edf5e9ac7d9cb686" args="(const Element &amp;a) 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#8789051cffe054f0edf5e9ac7d9cb686">Double</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="2b5ab1827c7e73fba29f23f5a6e0e6d4"></a><!-- doxytag: member="GF2NT::MultiplicativeIdentity" ref="2b5ab1827c7e73fba29f23f5a6e0e6d4" 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#2b5ab1827c7e73fba29f23f5a6e0e6d4">MultiplicativeIdentity</a> () const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e4dc3dd42c8bc2bd37eff95e8a001f1a"></a><!-- doxytag: member="GF2NT::Multiply" ref="e4dc3dd42c8bc2bd37eff95e8a001f1a" args="(const Element &amp;a, const Element &amp;b) 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#e4dc3dd42c8bc2bd37eff95e8a001f1a">Multiply</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="a4b1b1638b50483bf4904fc909f54883"></a><!-- doxytag: member="GF2NT::Square" ref="a4b1b1638b50483bf4904fc909f54883" args="(const Element &amp;a) 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#a4b1b1638b50483bf4904fc909f54883">Square</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="c4188ae1dccb83f17c118748afd60df8"></a><!-- doxytag: member="GF2NT::MultiplicativeInverse" ref="c4188ae1dccb83f17c118748afd60df8" args="(const Element &amp;a) const " -->const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>MultiplicativeInverse</b> (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="847f1d958a70c9caf1713321a6055c52"></a><!-- doxytag: member="GF2NT::operator==" ref="847f1d958a70c9caf1713321a6055c52" args="(const QuotientRing&lt; EuclideanDomainOf&lt; PolynomialMod2 &gt; &gt; &amp;rhs) const " -->bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quotient_ring.html#847f1d958a70c9caf1713321a6055c52">operator==</a> (const <a class="el" href="class_quotient_ring.html">QuotientRing</a>&lt; <a class="el" href="class_euclidean_domain_of.html">EuclideanDomainOf</a>&lt; <a class="el" href="class_polynomial_mod2.html">PolynomialMod2</a> &gt; &gt; &amp;rhs) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="a7ce20a30d89a8257088930d1d06d0b7"></a><!-- doxytag: member="GF2NT::Divide" ref="a7ce20a30d89a8257088930d1d06d0b7" args="(const Element &amp;a, const Element &amp;b) const" -->virtual const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>Divide</b> (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="0f011366054a4edb80be92f968083538"></a><!-- doxytag: member="GF2NT::Exponentiate" ref="0f011366054a4edb80be92f968083538" args="(const Element &amp;a, const Integer &amp;e) const" -->virtual <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>Exponentiate</b> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;e) const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cbe859e24ea6ee1e22ed2a1261f7f9d0"></a><!-- doxytag: member="GF2NT::CascadeExponentiate" ref="cbe859e24ea6ee1e22ed2a1261f7f9d0" args="(const Element &amp;x, const Integer &amp;e1, const Element &amp;y, const Integer &amp;e2) const " -->virtual <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>CascadeExponentiate</b> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;y, const <a class="el" href="class_integer.html">Integer</a> &amp;e2) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="56b1047d5e1c57d9b3c52e20af464cfe"></a><!-- doxytag: member="GF2NT::SimultaneousExponentiate" ref="56b1047d5e1c57d9b3c52e20af464cfe" args="(Element *results, const Element &amp;base, const Integer *exponents, unsigned int exponentsCount) const " -->virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><b>SimultaneousExponentiate</b> (<a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> *results, const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;base, const <a class="el" href="class_integer.html">Integer</a> *exponents, unsigned int exponentsCount) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e19ef788f5ce5192e5867666ef38717f"></a><!-- doxytag: member="GF2NT::MultiplicativeGroup" ref="e19ef788f5ce5192e5867666ef38717f" args="() const" -->virtual const <a class="el" href="class_abstract_group.html">AbstractGroup</a>&lt;<br> <a class="el" href="class_euclidean_domain_of.html">EuclideanDomainOf</a>&lt; <a class="el" href="class_polynomial_mod2.html">PolynomialMod2</a> <br>&gt;::<a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &gt; &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_ring.html#e19ef788f5ce5192e5867666ef38717f">MultiplicativeGroup</a> () const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="257836994abefe25b80293f4c6b10f60"></a><!-- doxytag: member="GF2NT::InversionIsFast" ref="257836994abefe25b80293f4c6b10f60" args="() const" -->virtual bool&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_abstract_group.html#257836994abefe25b80293f4c6b10f60">InversionIsFast</a> () const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c01536b91c4fa3d0e0f929917143595b"></a><!-- doxytag: member="GF2NT::ScalarMultiply" ref="c01536b91c4fa3d0e0f929917143595b" args="(const Element &amp;a, const Integer &amp;e) const" -->virtual <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>ScalarMultiply</b> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;a, const <a class="el" href="class_integer.html">Integer</a> &amp;e) const</td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ca3e1ca578003aff2595cc8d73522894"></a><!-- doxytag: member="GF2NT::CascadeScalarMultiply" ref="ca3e1ca578003aff2595cc8d73522894" args="(const Element &amp;x, const Integer &amp;e1, const Element &amp;y, const Integer &amp;e2) const " -->virtual <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a>&nbsp;</td><td class="memItemRight" valign="bottom"><b>CascadeScalarMultiply</b> (const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;y, const <a class="el" href="class_integer.html">Integer</a> &amp;e2) const </td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="00a5cd4b22aab947ec107ec93ad13122"></a><!-- doxytag: member="GF2NT::SimultaneousMultiply" ref="00a5cd4b22aab947ec107ec93ad13122" args="(Element *results, const Element &amp;base, const Integer *exponents, unsigned int exponentsCount) const " -->virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><b>SimultaneousMultiply</b> (<a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> *results, const <a class="el" href="class_quotient_ring.html#a5fc43636ce1b8ab3c8aa4ec309242e0">Element</a> &amp;base, const <a class="el" href="class_integer.html">Integer</a> *exponents, unsigned int exponentsCount) const </td></tr><tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="de49365898ce399a879beb3f409b4e5b"></a><!-- doxytag: member="GF2NT::m" ref="de49365898ce399a879beb3f409b4e5b" args="" -->unsigned int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_g_f2_n_p.html#de49365898ce399a879beb3f409b4e5b">m</a></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="fa96b7fc70b6b3abbc3a1eca196d7b6c"></a><!-- doxytag: member="GF2NT::m_domain" ref="fa96b7fc70b6b3abbc3a1eca196d7b6c" args="" --><a class="el" href="class_euclidean_domain_of.html">EuclideanDomain</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_quotient_ring.html#fa96b7fc70b6b3abbc3a1eca196d7b6c">m_domain</a></td></tr><tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="07127b18d71b1a503e29436fce18e5b4"></a><!-- doxytag: member="GF2NT::m_modulus" ref="07127b18d71b1a503e29436fce18e5b4" args="" --><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#07127b18d71b1a503e29436fce18e5b4">m_modulus</a></td></tr></table><hr>The documentation for this class was generated from the following files:<ul><li><a class="el" href="gf2n_8h-source.html">gf2n.h</a><li><a class="el" href="gf2n_8cpp-source.html">gf2n.cpp</a></ul><hr size="1"><address style="text-align: right;"><small>Generated on Fri Jun 1 11:11:38 2007 for Crypto++ by&nbsp;<a href="http://www.doxygen.org/index.html"><img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.2 </small></address></body></html>

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