Their Gray Images
Mokshi Goyal, Madhu Raka · 2016
Let 2 m ≥ be any natural number and let 21 m qq q q uu u − = + + + + be a fi- nite non-chain ring, where m uu = and q is a prime power congruent to 1 modulo ( ) 1 m− . In this paper we study duadic codes over the ring and their extensions. A Gray map from to m q is defined which preserves self duality of linear codes. As a consequence self-dual, formally self-dual and self-orthogonal codes over q are constructed. Some examples are also given to illustrate this.