Elsevier

Finite Fields and Their Applications

Volume 24, November 2013, Pages 124-135
Finite Fields and Their Applications

On constacyclic codes over finite chain rings

https://doi.org/10.1016/j.ffa.2013.07.001Get rights and content
Under an Elsevier user license
open archive

Abstract

Let R be an arbitrary commutative finite chain ring, γ a generator of the maximal ideal and R× the multiplicative group of units of R. For any wR×, the structural properties and dual codes of (1+wγ)-constacyclic codes of arbitrary length over R are given. As corollaries, self-dual constacyclic codes over the finite chain ring F2m+uF2m (u2=0) and the Galois ring GR(2s,m) are provided.

MSC

94B05
11T71
13M10

Keywords

Constacyclic code
Repeated-root code
Code over rings
Finite chain ring

Cited by (0)