A relation between quasi-cyclic codes and 2-D cyclic codes |
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Authors: | Cem Güneri Ferruh Özbudak |
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Institution: | 1. Faculty of Engineering and Natural Sciences, Sabanc? University, Tuzla, 34956, ?stanbul, Turkey;2. Department of Mathematics and Institute of Applied Mathematics, Middle East Technical University, ?nönü Bulvar?, 06531, Ankara, Turkey |
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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 over . In case m and ? are also coprime to each other, we easily observe that the code C must be equivalent to a cyclic code, which was proved earlier by Lim. |
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