On the structure of cyclic codes over the ring Z<inf>2^s</inf>[u]∕〈u^k〉

• Main Authors: Hai Q. Dinh, Abhay Kumar Singh, Pratyush Kumar, Songsak Sriboonchitta
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85047331677&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/58797
• Institution: Chiang Mai University

© 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...