Cyclic codes over the ring GR(p^e,m)[u]∕〈u^k〉

• Main Authors: Hai Q. Dinh, Abhay Kumar Singh, Pratyush Kumar, Songsak Sriboonchitta
• Format: Journal
• Published: 2019
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85068585212&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/65704
• Institution: Chiang Mai University

© 2019 Elsevier B.V. Let R=GR(pe,m)[u]∕〈uk〉 be a finite commutative ring for a prime p and any positive integers e,m and k. In this paper, we derive the explicit representation of cyclic codes over the ring R of length n, where n and p are coprime. We also discuss the dual of such cyclic codes over...