An overview on skew constacyclic codes and their subclass of LCD codes

Abstract

<p style='text-indent:20px;'>This paper is about a first characterization of LCD skew constacyclic codes and some constructions of LCD skew cyclic and skew negacyclic codes over <inline-formula><tex-math id="M1">\begin{document}$ \mathbb{F}_{p^2} $\end{document}</tex-math></inline-formula>.