Title

Structure of Repeated-Root Constacyclic Codes of Length 3p^s and Their Duals

Publication Title

Discrete Mathematics

Publication Date

5-6-2013

Document Type

Article

DOI

10.1016/J.DISC.2013.01.024

Keywords

cyclic codes, constacyclic codes, dual codes, repeated-root codes

Disciplines

Algebra | Discrete Mathematics and Combinatorics | Mathematics

Abstract

Let p≠3 be any prime. A classification of constacyclic codes of length 3ps over the finite field Fpm is provided. Based on this, the structures in terms of polynomial generators of all such constacyclic codes and their duals are established. Among other results, we show that self-dual cyclic codes of length 3ps exist only when p=2, and in such case, those self-dual codes are listed.

Publisher

Elsevier

Publisher Location

Amsterdam, Netherlands


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