Skew constacyclic codes over Fq+uFq+vFq

Abstract

In this paper skew constacyclic codes over finite non-chain ring R = Fq+uFq+vFq, where q= pm, p is an odd prime and u2=u, v2=v, uv = vu = 0 are studied. We show that Gray image of a skew alpha-constacyclic cyclic code of length n over R is a skew alpha-quasi-cyclic code of length 3n over Fq of index 3. It is also shown that skew alpha-constacyclic codes are either equivalent to alpha-constacyclic codes or alpha-quasi-twisted codes over R. Further, the structural properties of skew constacyclic over R are obtained by decomposition method.

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