Cyclic and negacyclic codes of length 4 p^sover F<inf>p</inf>^m+ u F<inf>pm</inf>

• Main Authors: Hai Q. Dinh, Anuradha Sharma, Saroj Rani, Songsak Sriboonchitta
• Format: Journal
• Published: 2018
• Subjects: Mathematics
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85029901843&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/58796
• Institution: Chiang Mai University

© 2018 World Scientific Publishing Company. Let Fpmbe the finite field of order pm, where pmis an odd prime and m is a positive integer. In this paper, we determine the algebraic structures of all cyclic and negacyclic codes of length 4psover the finite commutative chain ring R = Fpm+ uFpm, where u2= 0 and s is a positive integer. We also obtain the number of codewords in each of these codes. Among others, we establish the duals of all such codes and derive some self-dual cyclic and negacyclic codes of length 4psover R.