Cyclic and negacyclic codes of length 4ps over ð ½pm + uð ½pm

• Main Authors: Hai Q. Dinh, Anuradha Sharma, Saroj Rani, Songsak Sriboonchitta
• Format: Journal
• Published: 2018
• Subjects: Agricultural and Biological Sciences
• Online Access: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85029901843&origin=inward; http://cmuir.cmu.ac.th/jspui/handle/6653943832/43809
• Institution: Chiang Mai University

© 2018 World Scientific Publishing Company Let (Formula presented.) be the finite field of order (Formula presented.) where (Formula presented.) is an odd prime and (Formula presented.) is a positive integer. In this paper, we determine the algebraic structures of all cyclic and negacyclic codes of length (Formula presented.) over the finite commutative chain ring (Formula presented.) where (Formula presented.) and (Formula presented.) 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 (Formula presented.) over (Formula presented.)