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

Güneri, Cem and Özbudak, Ferruh (2012) A relation between quasi-cyclic codes and 2-D cyclic codes. Finite Fields and Their Applications, 18 (1). pp. 123-132. ISSN 1071-5797

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Official URL: http://dx.doi.org/10.1016/j.ffa.2011.07.004

Abstract

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.

Item Type:	Article
Uncontrolled Keywords:	Quasi-cyclic code, 2-D cyclic code, trace representation
Subjects:	Q Science > QA Mathematics > QA150-272.5 Algebra
Divisions:	Faculty of Engineering and Natural Sciences > Basic Sciences > Mathematics Faculty of Engineering and Natural Sciences
Depositing User:	Cem Güneri
Date Deposited:	29 Mar 2012 12:12
Last Modified:	31 Jul 2019 10:27
URI:	https://research.sabanciuniv.edu/id/eprint/18942

Available Versions of this Item

A relation between quasi-cyclic codes and 2-D cyclic codes. (deposited 24 Nov 2010 22:53)
- A relation between quasi-cyclic codes and 2-D cyclic codes. (deposited 29 Dec 2011 22:39)
  - A relation between quasi-cyclic codes and 2-D cyclic codes. (deposited 29 Mar 2012 12:12) [Currently Displayed]

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