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arXiv · 1501.03924

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

Jian Gao·Fang-Wei Fu·Ling Xiao·Rama Krishna Bandi
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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.

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Jian Gao, Fang-Wei Fu, Ling Xiao, Rama Krishna Bandi. 2015-04-26. On cyclic codes over $\mathbb{Z}_q+u\mathbb{Z}_q$. https://arxiv.org/abs/1501.03924

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