A relation between quasi-cyclic codes and 2-D cyclic codes

Date

2012-01-01

Author

Guneri, Cem
Özbudak, Ferruh

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We consider a q-ary quasi-cyclic code C of length ml and index l, where both in and l 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 x l over F(q). In case in and l 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.

Subject Keywords

Theoretical Computer Science, General Engineering, Algebra and Number Theory, Applied Mathematics

URI

https://hdl.handle.net/11511/43508

Journal

FINITE FIELDS AND THEIR APPLICATIONS

DOI

https://doi.org/10.1016/j.ffa.2011.07.004

Collections

Department of Mathematics, Article

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Citation Formats

C. Guneri and F. Özbudak, “A relation between quasi-cyclic codes and 2-D cyclic codes,” FINITE FIELDS AND THEIR APPLICATIONS, pp. 123–132, 2012, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/43508.