On the structure of cyclic codes over the ring Z<inf>2<sup>s</sup></inf>[u]∕〈u<sup>k</sup>〉
© 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 d...
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Main Authors: | Hai Q. Dinh, Abhay Kumar Singh, Pratyush Kumar, Songsak Sriboonchitta |
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Format: | Journal |
Published: |
2018
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Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047331677&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/58797 |
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Institution: | Chiang Mai University |
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