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Skew cyclic codes over F_{p}+uF_{p}+\dots +u^{k-1}F_{p} (1802.08659v1)
Published 23 Feb 2018 in cs.IT and math.IT
Abstract: In this article, we study the skew cyclic codes over R_{k}=F_{p}+uF_{p}+\dots +u{k-1}F_{p} of length n. We characterize the skew cyclic codes of length $n$ over R_{k} as free left R_{k}[x;\theta]-submodules of R_{k}[x;\theta]/\langle x{n}-1\rangle and construct their generators and minimal generating sets. Also, an algorithm has been provided to encode and decode these skew cyclic codes.