Skew cyclic codes over F_p+uF_p+… +u^k-1F_p

2018/02/23 by Om Prakash, Habibul Islam, Prakash, Om +1
Computer Science · Engineering · #Coding theory and cryptography #graph theory and CDMA systems #Cellular Automata and Applications

paper · pdf · doi:10.48550/arxiv.1802.08659

Abstract

In this article, we study the skew cyclic codes over R_k=F_p+uF_p+… +u^k-1F_p of length n. We characterize the skew cyclic codes of length n over R_k as free left R_k[x;θ]-submodules of R_k[x;θ]/⟨ xⁿ-1⟩ and construct their generators and minimal generating sets. Also, an algorithm has been provided to encode and decode these skew cyclic codes.

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