Goyal, M. and Raka, M. (2016) Quadratic Residue Codes over the Ring F

[u]/m-u> and Their Gray Images. arXiv: 1609. 07862v1 [math.NT] 2016.

has been cited by the following article:

• 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.