Quantum codes from skew constacyclic codes over the ring Fq[u, v]∕〈u2-1, v2-1, uv-vu〉

Abstract In this paper, we study quantum error-correcting codes from skew constacyclic codes over the ring R = F q [ u , v ] 〈 u 2 − 1 , v 2 − 1 , u v − v u 〉 , where q = p m for any odd prime p and positive integer m . We decompose skew constacyclic codes over the ring R as a direct sum of skew constacyclic codes over F q . Self-dual skew constacyclic codes over the ring R are characterized. Necessary and sufficient conditions for skew negacyclic and skew constacyclic codes to be dual-containing are obtained. As an application, we construct new quantum error-correcting codes from skew constacyclic codes over F q .

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