F_p R – Linear Skew Constacyclic Codes

In this paper, we study a special class of linear codes, called skew constacyclic codes, over the ring F_p R, where R=F_p+vF_p, p is an odd prime number and v^2=v. These codes are defined as a subset of the ring F_p^m R^n. For an automorphism θ of R, we investigate the structural properties of skew polynomial ring R[x,θ]. We also determine the generator polynomials and the Gray images of the skew constacyclic codes over the ring F_p R.