Author(s)

Mokshi Goyal, Madhu Raka

Centre for Advanced Study in Mathematics, Panjab University, Chandigarh, India.

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.

Quadratic Residue Codes, Duadic Codes, Extended Duadic-Codes, Gray Map, Self-Dual, Self-Orthogonal Codes, Formally Self-Dual Codes

Goyal, M. and Raka, M. (2016) Duadic Codes over the Ring F_q[u] /＜u^m-u＞ and Their Gray Images. Journal of Computer and Communications, 4, 50-62. doi: 10.4236/jcc.2016.412003.