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	<title>Srivastava code - Revision history</title>
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	<updated>2026-05-15T10:21:24Z</updated>
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		<title>Admin: Created page with &quot;'''Srivastava codes''', formulated by Professor J. N. Srivastava, form a class of parameterised error-correcting codes which are a speci...&quot;</title>
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		<updated>2019-07-20T08:58:40Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;&amp;#039;&amp;#039;&amp;#039;Srivastava codes&amp;#039;&amp;#039;&amp;#039;, formulated by Professor &lt;a href=&quot;/index.php?title=J._N._Srivastava&amp;amp;action=edit&amp;amp;redlink=1&quot; class=&quot;new&quot; title=&quot;J. N. Srivastava (page does not exist)&quot;&gt;J. N. Srivastava&lt;/a&gt;, form a class of parameterised &lt;a href=&quot;/Error_detection_and_correction&quot; title=&quot;Error detection and correction&quot;&gt;error-correcting codes&lt;/a&gt; which are a speci...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;'''Srivastava codes''', formulated by Professor [[J. N. Srivastava]], form a class of parameterised [[Error detection and correction|error-correcting codes]] which are a special case of [[alternant code]]s. &lt;br /&gt;
&lt;br /&gt;
==Definition==&lt;br /&gt;
The original ''Srivastava code'' over GF(''q'') of length ''n'' is defined by a parity check matrix ''H'' of [[alternant matrix|alternant]] form &lt;br /&gt;
&lt;br /&gt;
:&amp;lt;math&amp;gt;\begin{bmatrix}&lt;br /&gt;
\frac{\alpha_1^\mu}{\alpha_1-w_1} &amp;amp; \cdots &amp;amp; \frac{\alpha_n^\mu}{\alpha_n-w_1} \\ &lt;br /&gt;
\vdots &amp;amp; \ddots &amp;amp; \vdots \\&lt;br /&gt;
\frac{\alpha_1^\mu}{\alpha_1-w_s} &amp;amp; \cdots &amp;amp; \frac{\alpha_n^\mu}{\alpha_n-w_s} \\ &lt;br /&gt;
\end{bmatrix} &lt;br /&gt;
&amp;lt;/math&amp;gt;&lt;br /&gt;
where the α&amp;lt;sub&amp;gt;''i''&amp;lt;/sub&amp;gt; and ''z''&amp;lt;sub&amp;gt;''i''&amp;lt;/sub&amp;gt; are elements of GF(''q''&amp;lt;sup&amp;gt;''m''&amp;lt;/sup&amp;gt;)&lt;br /&gt;
&lt;br /&gt;
==Properties==&lt;br /&gt;
The parameters of this code are length ''n'', dimension ≥ ''n''&amp;amp;nbsp;&amp;amp;minus;&amp;amp;nbsp;''m''s and minimum distance ≥&amp;amp;nbsp;s&amp;amp;nbsp;+&amp;amp;nbsp;1.&lt;br /&gt;
&lt;br /&gt;
==Source==&lt;br /&gt;
&lt;br /&gt;
[http://wikipedia.org/ http://wikipedia.org/]&lt;br /&gt;
&lt;br /&gt;
[[Category:Cryptography]]&lt;br /&gt;
[[Category:Error-detecting codes]]&lt;br /&gt;
[[Category:Error-correcting codes]]&lt;br /&gt;
==See Also on BitcoinWiki==&lt;br /&gt;
* [[METOKEN]]&lt;br /&gt;
* [[Swiss Alps Mining]]&lt;br /&gt;
* [[Imigize]]&lt;br /&gt;
* [[DAFZO ICO]]&lt;br /&gt;
* [[WisePass]]&lt;/div&gt;</summary>
		<author><name>Admin</name></author>
		
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