Skew-Constacyclic Codes Over

Abstract

In this paper, the investigation on the algebraic structure of the ringand the description of its automorphism group, enable to study the algebraic structure of codes and their dual over this ring. We explore the algebraic structure of skew-constacyclic codes, by using a linear Gray map and we determine their generator polynomials. Necessary and sufficient conditions for the existence of self-dual skew cyclic and self-dual skew negacyclic codes over Fq[v] v q −v are given.

Skew Cyclic Codes Over A Finite Ring : A Note on a result of Mohammadi et al

“…Many authors such as Boucher and Ulmer [4], Siap et al [8] studied skew cyclic codes over fields. Recently, several authors such as [1], [2], [5], [6], [9], studied skew cyclic codes over finite rings.…”