Skew cyclic codes over $F_{q}+uF_{q}+vF_{q}+uvF_{q}$

Journal of Algebra Combinatorics Discrete Structures and Applications

article

Ting Yao¹  Minjia Shi¹  Patrick Solé² 

[1] School of Mathematical Sciences of Anhui University;Telecom Paris Tech

关键词: Linear codes;    Skew cyclic codes;    Gray map;    Generator polynomial;   

DOI  :  10.13069/jacodesmath.90080

学科分类：社会科学、人文和艺术（综合）

来源: Yildiz Technical University

【 摘 要 】

In this paper, we study skew cyclic codes over the ring R = Fq +uFq +vFq +uvFq, where u2 = u, v2 =v, uv = vu, q = pm and p is an odd prime. We investigate the structural properties of skew cycliccodes over R through a decomposition theorem. Furthermore, we give a formula for the number ofskew cyclic codes of length n over R.

【 授权许可】

CC BY