Title of article :
Skew cyclic codes over F_q + uF_q + vF_q + uvF_q
Author/Authors :
Yao, Ting Anhui University - School of Mathematical Sciences, China , Shi, Minjia Anhui University - School of Mathematical Sciences, China , Solé, Patrick Telecom Paris Tech, France
Abstract :
In this paper, we study skew cyclic codes over the ring R = F_q+uF_q+vF_q+uvF_q, where u^2 = u; v^2 = v; uv = vu, q = pm and p is an odd prime. We investigate the structural properties of skew cyclic codes over R through a decomposition theorem. Furthermore, we give a formula for the number of skew cyclic codes of length n over R:
Keywords :
Linear codes , Skew cyclic codes , Gray map , Generator polynomial
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
Journal title :
Journal Of Algebra Combinatorics Discrete Structures and Applications
