SKEW CYCLIC CODES OVER Fp+ vFp
Jian Gao · Journal of applied mathematics & informatics · 2013
In this paper, we study a special class of linear codes, called skew cyclic codes, over the ring $R=F_p+vF_p$ , where $p$ is a prime number and $v^2=v$ . We investigate the structural properties of skew polynomial ring $R[x,{\theta}]$ and the set $R[x,{\theta}]/(x^n-1)$ . Our results show that these codes are equivalent to either cyclic codes or quasi-cyclic codes. Based on this fact, we give the enumeration of distinct skew cyclic codes over R.