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<span class="path" dir="ltr"><a href="index.html">FOSSEE_Communication_Systems_Toolbox</a> >> <a href="section_1f049b1e3111e3d1d538e7603f77f589.html">FOSSEE_Communication_Systems_Toolbox</a> > gflineq</span>
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<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">'</span><span class="scilabstring">A=</span><span class="scilabstring">'</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">'</span><span class="scilabstring">x=</span><span class="scilabstring">'</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">'</span><span class="scilabstring">Linear equation has solution x</span><span class="scilabstring">'</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">'</span><span class="scilabstring">Linear equation has no solution and x is empty</span><span class="scilabstring">'</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">'</span><span class="scilabstring">B =</span><span class="scilabstring">'</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>
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