A Note on The Enumeration of Euclidean Self-Dual Skew-Cyclic Codes over Finite Fields

Abstract

In this paper we give the enumeration formulas for Euclidean self-dual skew-cyclic codes over finite fields when $(n,|\theta |)=1$ and for some cases when $(n,|\theta |)>1,$ where $n$ is the length of the code and $|\theta |$ is the order of automorphism $\theta .$