Constacyclic codes over the ring Fq[u,v,w]/〈u2−1, v2−1,w3−w,uv−vu,vw−wv,wu−uw〉.

Let R be the ring F q [ u , v , w ] / 〈 u 2 − 1 , v 2 − 1 , w 3 − w , u v − v u , v w − w v , w u − u w 〉 , where q = p m for any odd prime p and positive integer m. In this paper, we study constacyclic codes over the ring R. We define a Gray map by a matrix and decompose a constacyclic code over the ring R as the direct sum of constacyclic codes over F q , we also characterize self-dual constacyclic codes over the ring R and give necessary and sufficient conditions for constacyclic codes to be dual-containing. As an application, we give a method to construct quantum codes from dual-containing constacyclic codes over the ring R. [ABSTRACT FROM AUTHOR]