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On cyclic codes over $\mathbb{Z}_q+u\mathbb{Z}_q$ (1501.03924v4)
Published 16 Jan 2015 in cs.IT and math.IT
Abstract: Let $R=\mathbb{Z}_q+u\mathbb{Z}_q$, where $q=ps$ and $u2=0$. 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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