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<title><string language="fre"><![CDATA[4.2. Support Splitting Algorithm]]></string></title>
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<string language="fre"><![CDATA[This session will be about
the support splitting algorithm. For the q-ary case, there are
three different notions of equivalence. The general one: two codes
of length n are semi-linear equivalent if they are
equal up to a fixed linear map. Each linear map is the
composition of a permutation, a scalar multiplication, which
could vary for each coordinate, and a field automorphism.
But for this session, we consider a more restrictive
definition, which coincides with the general case
for binary linear code. Two codes are
permutation-equivalent if they are equal up to a fixed permutation on
the codeword coordinates. Given two linear codes, we
have two different problems. First of all, decide
whether two given codes are equivalent and on that case
retrieve the permutation mapping. In this paper, it has been
discussed the difficulty of this problem. They showed that the code
equivalence problem is not NP-complete but it is at least as
hard as the Graph Isomorphism problem. We have the following known algorithms
to solve the Code Equivalence problem. The Support Splitting
Algorithm, which solves the permutation equivalence
problem in polynomial-time for binary codes.]]></string></description>
<keyword><string language="fre"><![CDATA[algèbre linéaire]]></string></keyword><keyword><string language="fre"><![CDATA[chiffrement à clé publique]]></string></keyword><keyword><string language="fre"><![CDATA[cryptage des données]]></string></keyword><keyword><string language="fre"><![CDATA[cryptographie]]></string></keyword><keyword><string language="fre"><![CDATA[code correcteur]]></string></keyword><keyword><string language="fre"><![CDATA[algorithmes]]></string></keyword><keyword><string language="fre"><![CDATA[GRS code]]></string></keyword>
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<date><dateTime>2015-05-05</dateTime></date>
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<string language="fre"><![CDATA[Droits réservés à l'éditeur et aux auteurs. 
Ces ressources de cours sont, sauf mention contraire, diffusées sous Licence Creative Commons. L’utilisateur doit mentionner le nom de l’auteur, il peut exploiter l’œuvre sauf dans un contexte commercial et il ne peut apporter de modifications à l’œuvre originale.]]></string>
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