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	<title>Linear programming decoding - Revision history</title>
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		<title>imported&gt;Erayatay: grammar</title>
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		<summary type="html">&lt;p&gt;grammar&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;{{Short description|Decoding method}}&lt;br /&gt;
In [[information theory]] and [[coding theory]], &amp;#039;&amp;#039;&amp;#039;linear programming decoding (LP decoding)&amp;#039;&amp;#039;&amp;#039; is a [[Decoding methods|decoding]] method which uses concepts from [[linear programming]] (LP) theory to solve decoding problems. This approach was first used by Jon Feldman &amp;#039;&amp;#039;et al.&amp;#039;&amp;#039;&amp;lt;ref name = feldman&amp;gt; &amp;quot;Using linear programming to Decode Binary linear codes,&amp;quot; J. Feldman, M.J. Wainwright and D.R. Karger, IEEE Transactions on Information Theory, 51:954&amp;amp;ndash;972, March 2005.&amp;lt;/ref&amp;gt; They showed how the LP can be used to decode block codes.&lt;br /&gt;
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The basic idea behind LP decoding is to first represent the [[Maximum_likelihood_decoding#Maximum_likelihood_decoding|maximum likelihood decoding]] of a [[linear code]] as an [[Integer_linear_programming|integer linear program]], and then [[Linear_programming_relaxation|relax]] the integrality constraints on the variables into linear inequalities.&lt;br /&gt;
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== References ==&lt;br /&gt;
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[[Category:Linear programming]]&lt;/div&gt;</summary>
		<author><name>imported&gt;Erayatay</name></author>
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