On cyclic codes over $\mathbb{Z}_q+u\mathbb{Z}_q$

Jian Gao; Fang-Wei Fu; Ling Xiao; Rama Krishna Bandi

On cyclic codes over $\mathbb{Z}_q+u\mathbb{Z}_q$

Information Theory 2015-04-28 v4 math.IT

Authors: Jian Gao , Fang-Wei Fu , Ling Xiao , Rama Krishna Bandi

Abstract

Let $R=\mathbb{Z}_q+u\mathbb{Z}_q$ , where $q=p^s$ and $u^2=0$ . In this paper, some structural properties of cyclic codes over the ring $R$ are considered. A necessary and sufficient condition for cyclic codes over the ring $R$ to be free is obtained and a BCH-type bound on the minimum Hamming distance for them is also given.

Keywords

coding theory

Cite

@article{arxiv.1501.03924,
  title  = {On cyclic codes over $\mathbb{Z}_q+u\mathbb{Z}_q$},
  author = {Jian Gao and Fang-Wei Fu and Ling Xiao and Rama Krishna Bandi},
  journal= {arXiv preprint arXiv:1501.03924},
  year   = {2015}
}

Comments

11. arXiv admin note: text overlap with arXiv:1309.1623

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