Constacyclic codes over the ring Fp + vFp and their applications of constructing new non-binary quantum codes

In this paper, we study some results on constacyclic codes over Fp + vFp, where p is an odd prime and v2 = v. Under some special Gray map, the image of the (α + βv)-constacyclic code over Fp + vFp is a (–α(α + β))-constacyclic code over Fp, where α and β are non-zero elements of Fp satisfying β = –2α. As an application, some new non-binary quantum codes are obtained.