Cyclic codes and λ1+λ2u+λ3v+λ4uv-constacyclic codes over Fp+uFp+vFp+uvFp

Xiying Zheng and Bo Kong

Applied Mathematics and Computation, 2017, vol. 306, issue C, 86-91

Abstract: Let R=Fp+uFp+vFp+uvFp, where p is a prime and u2=u,v2=v,uv=vu. It is a semi-local ring, not a chain ring. In this paper, some properties of linear codes over the ring R are studied. The generator of cyclic codes and λ1+λ2u+λ3v+λ4uv-constacyclic codes over R are given. A necessary and sufficient condition for self-dual cyclic codes over R is given.

Keywords: Cyclic codes; λ1+λ2u+λ3v+λ4uv-constacyclic codes; Gray map; Self-dual codes (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:306:y:2017:i:c:p:86-91

DOI: 10.1016/j.amc.2017.02.017

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