Skew constacyclic codes over F_q + vF_q + v~2F_q

摘要

In the present paper, we study (1 - 2v~2)-skew constacyclic codes over the ring F_q + vF_q + v~2F_q, where v~3 = v, q = p~m and p is an odd prime. We investigate the structural properties of skew cyclic codes over F_q + vF_q + v~2F_q using decomposition method. By defining a Gray map from F_q + vF_q + v~2F_q to F_q, it has been proved that the Gray image of a (1 - 2v~2)-skew constacyclic code of length n over F_q + vF_q + v~2F_q is a skew cyclic code of length In over F_q. Finally, the idempotent generators of (1 - 2v~2)-skew constacyclic codes over F_q + vF_q + v~2F_q have also been studied.