3 years ago

Skew cyclic codes and skew(<alpha>1+u<alpha>2+v<alpha>3+uv<alpha>4)-constacyclic codes over Fq + uFq + vFq + uvFq.

Om Prakash, Habibul Islam

In this paper, we study skew cyclic and skew constacyclic codes over the ring R = Fq + uFq + vFq + uvFq where q = p^m; p is an odd prime, u^2 = u; v^2 = v; uv = vu. We show that Gray image of a skew cyclic code of length n is a skew quasi-cyclic code of length 4n over Fq of index 4. We also study the structural properties of skew cyclic and skew constacyclic codes over R. Further, generating polynomials as well as idempotent generators for skew cyclic and skew constacyclic codes are determined.

Publisher URL: http://arxiv.org/abs/1710.07785

DOI: arXiv:1710.07785v1

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