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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.date.accessioned2018-09-05T04:32:26Z-
dc.date.available2018-09-05T04:32:26Z-
dc.date.issued2018-08-01en_US
dc.identifier.issn0012365Xen_US
dc.identifier.other2-s2.0-85047331677en_US
dc.identifier.other10.1016/j.disc.2018.04.028en_US
dc.identifier.urihttps://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047331677&origin=inwarden_US
dc.identifier.urihttp://cmuir.cmu.ac.th/jspui/handle/6653943832/58797-
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.subjectMathematicsen_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
dc.typeJournalen_US
article.title.sourcetitleDiscrete Mathematicsen_US
article.volume341en_US
article.stream.affiliationsTon-Duc-Thang Universityen_US
article.stream.affiliationsKent State Universityen_US
article.stream.affiliationsIndian Institute of Technology (Indian School of Mines), Dhanbaden_US
article.stream.affiliationsChiang Mai Universityen_US
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