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In this paper, we study a special class of linear codes, called skew constacyclic codes, over the ring Fₚ R, where R=Fₚ+vFₚ, p is an odd prime number and v²=v. These codes are defined as a subset of the ring Fₚᵐ Rⁿ. For an automorphism θ of R, we investigate the structural properties of skew polynomial ring Rx, θ. We also determine the generator polynomials and the Gray images of the skew constacyclic codes over the ring Fₚ R.
Tülay Yıldırım (Sat,) studied this question.