A class of constacyclic codes over \(\mathbb Z_{p^m}\) (Q982479)

This paper presents the structure of \((1+\lambda p)\)-constacyclic codes of length \(p^s\) over \(\mathrm{GR}(p^m,a)\) and determine the Hamming and homogeneous distances of all such constacyclic codes. Further, the authors have classified all \((1+\lambda p)\)-constacyclic codes over \(\mathbb Z_{p^m}\) of length \(N= p^sn\) (\(n\) prime to \(p\)) using the discrete Fourier transform. The last section deals with \((1+\lambda p)\)-constacyclic codes over \(\mathbb Z_{p^2}\) and their images under a generalization of the Gray map.