On some constacyclic codes over the ring Fpm [u]/⟨u4⟩

Abstract

Let R be the finite chain ring R = F-pm [u]/< u(4)>, where p is a prime and m is a positive integer. In this work, we give a complete classification of (1 + alpha u(2))-constacyclic codes of length p(k) over R, where alpha is a nonzero element of F-pm. We also completely determine self-dual such codes and enumerate them. Finally we discuss on Gray-maps on R which preserve self-duality, and also discuss on the images of self-dual constacyclic codes under these Gray maps. (C) 2018 Elsevier B.V. All rights reserved.