Construction of Repeated-Root Constacyclic Code of Length 8p^s over F_(p^m)

摘要

For any odd prime p, a classification of all cyclic and negacyclic codes of length 8sp over mpF are obtained, which establishes the algebra structures in term of specified polynomial generators of such codes. Among other results, all self-dual negacyclic codes of length 8sp are obtained, and the structures of α-constacyclic and β-constacyclic codes of length 8sp over mpF are established.