Duadic negacyclic codes over a finite non-chain ring and their Gray images

05/23/2018

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by   Mokshi Goyal, et al.

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Let f(u) be a polynomial of degree m, m ≥ 2, which splits into distinct linear factors over a finite field F_q. Let R=F_q[u]/〈 f(u)〉 be a finite non-chain ring. In an earlier paper, we studied duadic and triadic codes over R and their Gray images. Here, we study duadic negacyclic codes of Type I and Type II over the ring R, their extensions and their Gray images. As a consequence some self-dual, isodual, self-orthogonal and complementary dual(LCD) codes over F_q are constructed. Some examples are also given to illustrate this.