Fₚ R – Linear Skew Constacyclic Codes

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.