F_p R – Linear Skew Constacyclic Codes

Authors : Tülay Yıldırım

Pages : 525-530

Doi:10.35414/akufemubid.1331180

View : 72 | Download : 81

Publication Date : 2024-06-27

Article Type : Research Paper

Abstract :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.
Keywords : Lineer kodlar, Skew polinom halkaları, Skew constacyclic kodlar, Skew devirli kodlar