Abstract
【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.】
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