TITLE:
Duadic Codes over the Ring Fq[u] /m-u＞ and Their Gray Images
AUTHORS:
Mokshi Goyal, Madhu Raka
KEYWORDS:
Quadratic Residue Codes, Duadic Codes, Extended Duadic-Codes, Gray Map, Self-Dual, Self-Orthogonal Codes, Formally Self-Dual Codes
JOURNAL NAME:
Journal of Computer and Communications,
Vol.4 No.12,
October
27,
2016
ABSTRACT: Let m ≥ 2 be any natural number and let be a finite
non-chain ring, where and q is a prime power congruent to 1 modulo (m-1). In this
paper we study duadic codes over the ring and their extensions. A Gray map from to is defined which preserves self duality of linear codes. As a consequence
self-dual, formally self-dual and self-orthogonal codes over are constructed.
Some examples are also given to illustrate this.