A Relation Between Quasi-Cyclic Codes and 2-D Cyclic Codes

Abstract : We consider a q-ary quasi-cyclic code C of length m' and index ', where both m and ' are relatively prime to q. If the constituents of C are cyclic codes, we show that C can also be viewed as a 2-D cyclic code of size m *l ' over Fq. If we further assume that m and ' are also coprime to each other, then we easily observe that the code C must be equivalent to a cyclic code. The last fact was proved earlier by Lim using a diff erent approach.
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Communication dans un congrès
WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.203-208, 2011
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Cem Guneri, Ferruh Ozbudak. A Relation Between Quasi-Cyclic Codes and 2-D Cyclic Codes. WCC 2011 - Workshop on coding and cryptography, Apr 2011, Paris, France. pp.203-208, 2011. 〈inria-00611777〉

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