Skew Constacyclic and LCD Codes over Fq+v Fq

Abstract

The aim of this paper is to give conditions for the equivalency between skew constacyclic codes, skew cyclic codes and skew negacyclic codes defined over semi-local rings. Also, we provide construction and an enumeration of Euclidean and Hermitian skew LCD cyclic codes over Fpt+ v Fpt . Several optimal LCD codes are obtained from Gray images of LCD skew codes over semi-local rings.

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