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 <title>Open Problem Garden - Perfect 2-error-correcting codes over arbitrary finite alphabets. - Comments</title>
 <link>http://openproblemgarden.org/op/perfect_2_error_correcting_codes_over_arbitrary_finite_alphabets</link>
 <description>Comments for &quot;Perfect 2-error-correcting codes over arbitrary finite alphabets.&quot;</description>
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<item>
 <title>Perfect 2-error-correcting codes over arbitrary finite alphabets.</title>
 <link>http://openproblemgarden.org/op/perfect_2_error_correcting_codes_over_arbitrary_finite_alphabets</link>
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    Author(s):
        &lt;a href=&quot;/kpz_equation_central_limit_theorem&quot;&gt;&lt;/a&gt;&amp;nbsp;&amp;nbsp;
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    Subject:
        &lt;a href=&quot;/category/combinatorics&quot;&gt;Combinatorics&lt;/a&gt; » &lt;a href=&quot;/category/codes&quot;&gt;Codes&lt;/a&gt;&amp;nbsp;&amp;nbsp;
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        &lt;div class=&quot;envtheorem&quot;&gt;&lt;b&gt;Conjecture&lt;/b&gt;&amp;nbsp;&amp;nbsp; Does there exist a nontrivial perfect 2-error-correcting code over any finite alphabet, other than the ternary Golay code? &lt;/div&gt;

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 <category domain="http://openproblemgarden.org/category/2_error_correcting">2-error-correcting</category>
 <category domain="http://openproblemgarden.org/category/code">code</category>
 <category domain="http://openproblemgarden.org/category/existence">existence</category>
 <category domain="http://openproblemgarden.org/category/perfect">perfect</category>
 <category domain="http://openproblemgarden.org/category/perfect_code">perfect code</category>
 <category domain="http://openproblemgarden.org/category/combinatorics">Combinatorics</category>
 <category domain="http://openproblemgarden.org/category/codes">Codes</category>
 <comments>http://openproblemgarden.org/op/perfect_2_error_correcting_codes_over_arbitrary_finite_alphabets#comment</comments>
 <pubDate>Sat, 03 Apr 2010 01:22:38 +0200</pubDate>
 <dc:creator>davidcullen</dc:creator>
 <guid isPermaLink="false">37196 at http://openproblemgarden.org</guid>
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