A CLASS OF CONSTACYCLIC CODES OVER A FINITE FIELD-II

摘要

Let F-q be a finite field with q = p(m) elements, where p is any prime and m >= 1. In this paper, we explicitly determine all the mu-constacyclic codes of length l(n) over F-q, where l is an odd prime coprime to p and the order of mu is a power of l. All the repeated-root lambda- constacyclic codes of length l(n)p(s) over F-q are also determined for any nonzero lambda in F-q. As examples all the lambda-constacyclic codes of length 3(n)p(s) over F-p for p = 5, 7, 11, 19 for n >= 1, s >= 1 are derived. We also obtain all the self-orthogonal negacyclic codes of length l(n) over F-q when q is odd prime power and give some illustrative examples.