Complete classification of (delta plus alpha u(2))-constacyclic codes over F-3mu/ u(4) of length 3n

摘要

Let F-3m be a finite field of cardinality 3(m), R = F-3m u/ u(4) which is a finite chain ring, and n be a positive integer satisfying gcd (3, n) = 1. For any delta, alpha is an element of F-3m(x), an explicit representation for all distinct (delta + alpha u(2))-constacyclic codes over R of length 3n is given, formulas for the number of all such codes and the number of codewords in each code are provided, respectively. Moreover, the dual code for each of these codes is determined explicitly.