A class of constacyclic codes over Fp+vFpFp+vFp and its Gray image

We introduce a Gray map from Fp+vFpFp+vFp to Fp2 and study (1−2v)(1−2v)-constacyclic codes over Fp+vFpFp+vFp, where v2=vv2=v. It is proved that the image of a (1−2v)(1−2v)-constacyclic code of length nn over Fp+vFpFp+vFp under the Gray map is a distance-invariant linear cyclic code of length 2n2n over FpFp. The generators of such constacyclic codes for an arbitrary length are determined and their dual codes are also discussed.