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dc.contributor.authorHai Q. Dinhen_US
dc.contributor.authorAbhay Kumar Singhen_US
dc.contributor.authorPratyush Kumaren_US
dc.contributor.authorSongsak Sriboonchittaen_US
dc.description.abstract© 2018 Elsevier B.V. In this paper, we consider cyclic codes of odd length n over the local, non-chain ring R=Z2s[u]∕〈uk〉 = Z2s+uZ2s+…+uk−1Z2s(uk=0), for any integers s≥1 and k≥2. An explicit algebraic representation of such codes is obtained. This algebraic structure is then used to establish the duals of all cyclic codes. Among others, all self-dual cyclic codes of odd length n over the ring R are determined. Moreover, some examples are provided which produce several optimal codes.en_US
dc.titleOn the structure of cyclic codes over the ring Z<inf>2<sup>s</sup></inf>[u]∕〈u<sup>k</sup>〉en_US
article.title.sourcetitleDiscrete Mathematicsen_US
article.volume341en_US Universityen_US State Universityen_US Institute of Technology (Indian School of Mines), Dhanbaden_US Mai Universityen_US
Appears in Collections:CMUL: Journal Articles

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