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

2018/05/23 by Goyal, Mokshi, Raka, Madhu
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.1805.09678

Abstract

Let f(u) be a polynomial of degree m, m ≥ 2, which splits into distinct linear factors over a finite field \mathbbF_q. Let R=\mathbbF_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 \mathbbF_q are constructed. Some examples are also given to illustrate this.

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