Skew cyclic codes over F_{p}+uF_{p}+\dots +u^{k-1}F_{p}
Information Theory
2018-02-26 v1 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 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.
Keywords
Cite
@article{arxiv.1802.08659,
title = {Skew cyclic codes over F_{p}+uF_{p}+\dots +u^{k-1}F_{p}},
author = {Om Prakash and Habibul Islam},
journal= {arXiv preprint arXiv:1802.08659},
year = {2018}
}