(1-uv)-constacyclic Codes over (𝔽p + U𝔽p + V𝔽p + Uv𝔽p)

Constacyclic codes are an important class of linear codes in coding theory. Many optimal linear codes are directly derived from constacyclic codes. In this paper, (1 − uv)-constacyclic codes over the local ring Fp + uFp + vFp + uvFp are studied. It is proved that the image of a (1 − uv)constacyclic code of length n over Fp + uFp + vFp + uvFp under a Gray map is a distance invariant quasi-cyclic code of index p and length pn over Fp. Several examples of optimal linear codes over Fp from (1 − uv)-constacyclic codes over Fp + uFp + vFp + uvFp are given.

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