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A Relation Between Quasi-Cyclic Codes and 2-D Cyclic Codes
Acte de colloque   Open Access

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

Cem Guneri et Ferruh Özbudak
WCC 2011 - Workshop on coding and cryptography, pp.203-208
WCC 2011 - Workshop on coding and cryptography (Paris, France, 04/2011)
04/2011

Résumé

E.: Data/E.3: DATA ENCRYPTION E.: Data/E.4: CODING AND INFORMATION THEORY G.: Mathematics of Computing/G.2: DISCRETE MATHEMATICS
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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