On Constacyclic codes over ℤpm
M. E. Charkani, Joël Kaboré · 2014
Let p be a prime number, m ≥ 2 a positive integer, and λ a unit of R = ℤp(m), the ring of integers modulo pm. Let N = pkn with gcd(p, n) = 1. In this work, we give a simple and short proof that the quotient ring R[X]/N- (1 + λp) > is a principal ring. This allow us to study (1 + λp)-constacyclic codes of arbitrary length and give a characterization of self-dual (1 + λp)-constacyclic codes over ℤp(m).