Constacyclic codes over Fq + u Fq + v Fq + u v Fq
Abstract
Let q be a prime power and Fq be a finite field. In this paper, we study constacyclic codes over the ring Fq+ u Fq +v Fq+ u v Fq, where u2=u, v2=v and uv=vu. We characterized the generator polynomials of constacyclic codes and their duals using some decomposition of this ring. We also define a gray map and characterize the Gray images of self-dual cyclic codes over Fq+uFq+vFq+uvFq.
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