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<h1>GF2NT Class Reference</h1><code>#include &lt;<a class="el" href="gf2n_8h-source.html">gf2n.h</a>&gt;</code>
<p>
<p>Inheritance diagram for GF2NT:
<p><center><img src="class_g_f2_n_t.png" usemap="#GF2NT_map" border="0" alt=""></center>
<map name="GF2NT_map">
<area href="class_g_f2_n_p.html" alt="GF2NP" shape="rect" coords="0,168,397,192">
<area href="class_quotient_ring.html" alt="QuotientRing< EuclideanDomainOf< PolynomialMod2 > >" shape="rect" coords="0,112,397,136">
<area href="class_abstract_ring.html" alt="AbstractRing< EuclideanDomainOf< PolynomialMod2 >::Element >" shape="rect" coords="0,56,397,80">
<area href="class_abstract_group.html" alt="AbstractGroup< EuclideanDomainOf< PolynomialMod2 >::Element >" shape="rect" coords="0,0,397,24">
</map>
<a href="class_g_f2_n_t-members.html">List of all members.</a><hr><a name="_details"></a><h2>Detailed Description</h2>
GF(2^n) with Trinomial Basis. 
<p>

<p>
Definition at line <a class="el" href="gf2n_8h-source.html#l00317">317</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="_quotient_ringw0" doxytag="GF2NT::EuclideanDomain" ></a>
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><b>EuclideanDomain</b></td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringw1" doxytag="GF2NT::Element" ></a>
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;::Element&nbsp;</td><td class="memItemRight" valign=bottom><b>Element</b></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="_g_f2_n_ta0" doxytag="GF2NT::GF2NT" ></a>
&nbsp;</td><td class="memItemRight" valign=bottom><b>GF2NT</b> (unsigned int t0, unsigned int t1, unsigned int t2)</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta1" doxytag="GF2NT::Clone" ></a>
<a class="el" href="class_g_f2_n_p.html">GF2NP</a> *&nbsp;</td><td class="memItemRight" valign=bottom><b>Clone</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta2" doxytag="GF2NT::DEREncode" ></a>
void&nbsp;</td><td class="memItemRight" valign=bottom><b>DEREncode</b> (<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="_g_f2_n_ta3" doxytag="GF2NT::Multiply" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Multiply</b> (const Element &amp;a, const Element &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta4" doxytag="GF2NT::Square" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Square</b> (const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta5" doxytag="GF2NT::MultiplicativeInverse" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeInverse</b> (const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta6" doxytag="GF2NT::DEREncodeElement" ></a>
void&nbsp;</td><td class="memItemRight" valign=bottom><b>DEREncodeElement</b> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;out, const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta7" doxytag="GF2NT::BERDecodeElement" ></a>
void&nbsp;</td><td class="memItemRight" valign=bottom><b>BERDecodeElement</b> (<a class="el" href="class_buffered_transformation.html">BufferedTransformation</a> &amp;in, Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta8" doxytag="GF2NT::Equal" ></a>
bool&nbsp;</td><td class="memItemRight" valign=bottom><b>Equal</b> (const Element &amp;a, const Element &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta9" doxytag="GF2NT::IsUnit" ></a>
bool&nbsp;</td><td class="memItemRight" valign=bottom><b>IsUnit</b> (const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta10" doxytag="GF2NT::MaxElementBitLength" ></a>
unsigned int&nbsp;</td><td class="memItemRight" valign=bottom><b>MaxElementBitLength</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta11" doxytag="GF2NT::MaxElementByteLength" ></a>
unsigned int&nbsp;</td><td class="memItemRight" valign=bottom><b>MaxElementByteLength</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta12" doxytag="GF2NT::SquareRoot" ></a>
Element&nbsp;</td><td class="memItemRight" valign=bottom><b>SquareRoot</b> (const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta13" doxytag="GF2NT::HalfTrace" ></a>
Element&nbsp;</td><td class="memItemRight" valign=bottom><b>HalfTrace</b> (const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_g_f2_n_ta14" doxytag="GF2NT::SolveQuadraticEquation" ></a>
Element&nbsp;</td><td class="memItemRight" valign=bottom><b>SolveQuadraticEquation</b> (const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa1" doxytag="GF2NT::GetDomain" ></a>
const EuclideanDomain &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>GetDomain</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa2" doxytag="GF2NT::GetModulus" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>GetModulus</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa4" doxytag="GF2NT::Identity" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Identity</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa5" doxytag="GF2NT::Add" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Add</b> (const Element &amp;a, const Element &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa6" doxytag="GF2NT::Accumulate" ></a>
Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Accumulate</b> (Element &amp;a, const Element &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa7" doxytag="GF2NT::Inverse" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Inverse</b> (const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa8" doxytag="GF2NT::Subtract" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Subtract</b> (const Element &amp;a, const Element &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa9" doxytag="GF2NT::Reduce" ></a>
Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Reduce</b> (Element &amp;a, const Element &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa10" doxytag="GF2NT::Double" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Double</b> (const Element &amp;a) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa12" doxytag="GF2NT::MultiplicativeIdentity" ></a>
const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeIdentity</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringa16" doxytag="GF2NT::operator==" ></a>
bool&nbsp;</td><td class="memItemRight" valign=bottom><b>operator==</b> (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="_abstract_ringa8" doxytag="GF2NT::Divide" ></a>
virtual const Element &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>Divide</b> (const Element &amp;a, const Element &amp;b) const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa19" doxytag="GF2NT::Exponentiate" ></a>
virtual Element&nbsp;</td><td class="memItemRight" valign=bottom><b>Exponentiate</b> (const Element &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="_euclidean_domain_ofa20" doxytag="GF2NT::CascadeExponentiate" ></a>
virtual Element&nbsp;</td><td class="memItemRight" valign=bottom><b>CascadeExponentiate</b> (const Element &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const Element &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="_euclidean_domain_ofa21" doxytag="GF2NT::SimultaneousExponentiate" ></a>
virtual void&nbsp;</td><td class="memItemRight" valign=bottom><b>SimultaneousExponentiate</b> (Element *results, const Element &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="_euclidean_domain_ofa22" doxytag="GF2NT::MultiplicativeGroup" ></a>
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;::Element &gt; &amp;&nbsp;</td><td class="memItemRight" valign=bottom><b>MultiplicativeGroup</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa23" doxytag="GF2NT::InversionIsFast" ></a>
virtual bool&nbsp;</td><td class="memItemRight" valign=bottom><b>InversionIsFast</b> () const</td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_euclidean_domain_ofa24" doxytag="GF2NT::ScalarMultiply" ></a>
virtual Element&nbsp;</td><td class="memItemRight" valign=bottom><b>ScalarMultiply</b> (const Element &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="_euclidean_domain_ofa25" doxytag="GF2NT::CascadeScalarMultiply" ></a>
virtual Element&nbsp;</td><td class="memItemRight" valign=bottom><b>CascadeScalarMultiply</b> (const Element &amp;x, const <a class="el" href="class_integer.html">Integer</a> &amp;e1, const Element &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="_euclidean_domain_ofa26" doxytag="GF2NT::SimultaneousMultiply" ></a>
virtual void&nbsp;</td><td class="memItemRight" valign=bottom><b>SimultaneousMultiply</b> (Element *results, const Element &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="_g_f2_n_tp0" doxytag="GF2NT::m" ></a>
unsigned int&nbsp;</td><td class="memItemRight" valign=bottom><b>m</b></td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringp0" doxytag="GF2NT::m_domain" ></a>
EuclideanDomain&nbsp;</td><td class="memItemRight" valign=bottom><b>m_domain</b></td></tr>

<tr><td class="memItemLeft" nowrap align=right valign=top><a class="anchor" name="_quotient_ringp1" doxytag="GF2NT::m_modulus" ></a>
Element&nbsp;</td><td class="memItemRight" valign=bottom><b>m_modulus</b></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>
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