Duadic negacyclic codes over a finite non-chain ring

Abstract

Let [Formula: see text] be a polynomial of degree [Formula: see text] which splits into distinct linear factors over a finite field [Formula: see text]. Let [Formula: see text] be a finite non-chain ring. In an earlier paper, we studied duadic and triadic codes over [Formula: see text] and their Gray images. Here, we study duadic negacyclic codes of Type I and Type II over the ring [Formula: see text], their extensions and their Gray images. As a consequence some self-dual, isodual, self-orthogonal and complementary dual (LCD) codes over [Formula: see text] are constructed. Some examples are also given to illustrate this.