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+<html><head>
+ <meta http-equiv="Content-Type" content="text/html; charset=utf-8">
+ <title>gflineq</title>
+ <style type="text/css" media="all">
+ @import url("scilab_code.css");
+ @import url("xml_code.css");
+ @import url("c_code.css");
+ @import url("style.css");
+ </style>
+ </head>
+ <body>
+ <div class="manualnavbar">
+ <table width="100%"><tr>
+ <td width="30%">
+ <span class="previous"><a href="gfcosets.html">&lt;&lt; gfcosets</a></span>
+
+ </td>
+ <td width="40%" class="center">
+ <span class="top"><a href="section_1f049b1e3111e3d1d538e7603f77f589.html">FOSSEE_Communication_Systems_Toolbox</a></span>
+
+ </td>
+ <td width="30%" class="next">
+ <span class="next"><a href="gfrepcov.html">gfrepcov &gt;&gt;</a></span>
+
+ </td>
+ </tr></table>
+ <hr />
+ </div>
+
+
+
+ <span class="path" dir="ltr"><a href="index.html">FOSSEE_Communication_Systems_Toolbox</a> &gt;&gt; <a href="section_1f049b1e3111e3d1d538e7603f77f589.html">FOSSEE_Communication_Systems_Toolbox</a> &gt; gflineq</span>
+
+ <br /><br />
+ <div class="refnamediv"><h1 class="refname">gflineq</h1>
+ <p class="refpurpose">This function finds a solution for linear equation Ax = b over a prime Galois field.</p></div>
+
+
+<div class="refsection"><h3 class="title">Description</h3>
+ <p class="para">[X, SFLAG] = GFLINEQ(A, B) returns a particular solution (X) of AX=B in GF(2).
+If the equation has no solution, then X is empty and SFLAG = 0 else SFLAG = 1.</p>
+ <p class="para">[X, SFLAG]= GFLINEQ(A, B, P) returns a particular solution of the linear
+equation A X = B in GF(P) and SFLAG=1.
+If the equation has no solution, then X is empty and SFLAG = 0.</p>
+ <p class="para"></p>
+ <p class="para"></p></div>
+
+<div class="refsection"><h3 class="title">Examples</h3>
+ <div class="programlisting"><table border="0" width="100%"><tr><td width="98%"><pre class="scilabcode"><span class="scilabid">A</span><span class="scilaboperator">=</span><span class="scilabopenclose">[</span><span class="scilabnumber">1</span> <span class="scilabnumber">0</span> <span class="scilabnumber">1</span><span class="scilabdefault">;</span> <span class="scilabnumber">1</span> <span class="scilabnumber">1</span> <span class="scilabnumber">0</span><span class="scilabdefault">;</span> <span class="scilabnumber">1</span> <span class="scilabnumber">1</span> <span class="scilabnumber">1</span><span class="scilabopenclose">]</span>
+<span class="scilabid">p</span><span class="scilaboperator">=</span><span class="scilabnumber">3</span>
+<span class="scilabopenclose">[</span><span class="scilabid">x</span><span class="scilabdefault">,</span><span class="scilabid">vld</span><span class="scilabopenclose">]</span> <span class="scilaboperator">=</span> <span class="scilabid">gflineq</span><span class="scilabopenclose">(</span><span class="scilabid">A</span><span class="scilabdefault">,</span><span class="scilabopenclose">[</span><span class="scilabnumber">1</span><span class="scilabdefault">;</span><span class="scilabnumber">0</span><span class="scilabdefault">;</span><span class="scilabnumber">1</span><span class="scilabopenclose">]</span><span class="scilabdefault">,</span><span class="scilabid">p</span><span class="scilabopenclose">)</span>
+<a class="scilabcommand" href="scilab://disp">disp</a><span class="scilabopenclose">(</span><span class="scilabid">A</span><span class="scilabdefault">,</span><span class="scilabstring">&#0039;</span><span class="scilabstring">A=</span><span class="scilabstring">&#0039;</span><span class="scilabopenclose">)</span>
+<a class="scilabcommand" href="scilab://disp">disp</a><span class="scilabopenclose">(</span><span class="scilabid">x</span><span class="scilabdefault">,</span><span class="scilabstring">&#0039;</span><span class="scilabstring">x=</span><span class="scilabstring">&#0039;</span><span class="scilabopenclose">)</span><span class="scilabdefault">;</span>
+<span class="scilabskeyword">if</span><span class="scilabopenclose">(</span><span class="scilabid">vld</span><span class="scilabopenclose">)</span>
+<a class="scilabcommand" href="scilab://disp">disp</a><span class="scilabopenclose">(</span><span class="scilabstring">&#0039;</span><span class="scilabstring">Linear equation has solution x</span><span class="scilabstring">&#0039;</span><span class="scilabopenclose">)</span>
+<span class="scilabskeyword">else</span>
+<a class="scilabcommand" href="scilab://disp">disp</a><span class="scilabopenclose">(</span><span class="scilabstring">&#0039;</span><span class="scilabstring">Linear equation has no solution and x is empty</span><span class="scilabstring">&#0039;</span><span class="scilabopenclose">)</span>
+<span class="scilabskeyword">end</span>
+<a class="scilabcommand" href="scilab://disp">disp</a><span class="scilabopenclose">(</span> <a class="scilabmacro" href="scilab://pmodulo">pmodulo</a><span class="scilabopenclose">(</span><span class="scilabid">A</span><span class="scilaboperator">*</span><span class="scilabid">x</span><span class="scilabdefault">,</span><span class="scilabid">p</span><span class="scilabopenclose">)</span><span class="scilabdefault">,</span><span class="scilabstring">&#0039;</span><span class="scilabstring">B =</span><span class="scilabstring">&#0039;</span><span class="scilabopenclose">)</span></pre></td><td valign="top"><a href="scilab://scilab.execexample/"><img src="ScilabExecute.png" border="0"/></a></td><td valign="top"><a href="scilab://scilab.editexample/"><img src="ScilabEdit.png" border="0"/></a></td><td></td></tr></table></div></div>
+
+<div class="refsection"><h3 class="title">Authors</h3>
+ <ul class="itemizedlist"><li class="member">Pola Lakshmi Priyanka, IIT Bombay</li></ul></div>
+ <br />
+
+ <div class="manualnavbar">
+ <table width="100%">
+ <tr><td colspan="3" class="next"><a href="http://bugzilla.scilab.org/enter_bug.cgi?product=Scilab%20software&component=Documentation%20pages" class="ulink">Report an issue</a></td></tr>
+<tr>
+ <td width="30%">
+ <span class="previous"><a href="gfcosets.html">&lt;&lt; gfcosets</a></span>
+
+ </td>
+ <td width="40%" class="center">
+ <span class="top"><a href="section_1f049b1e3111e3d1d538e7603f77f589.html">FOSSEE_Communication_Systems_Toolbox</a></span>
+
+ </td>
+ <td width="30%" class="next">
+ <span class="next"><a href="gfrepcov.html">gfrepcov &gt;&gt;</a></span>
+
+ </td>
+ </tr></table>
+ <hr />
+ </div>
+ </body>
+</html>