1. Open Access Kent State
  2. Structure of Repeated-Root Constacyclic Codes of Length 3p^s and Their Duals
Author(s)
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.
Format
Article
Identifier(s)
10.1016/J.DISC.2013.01.024
Publication Date
2013-05-06
Publication Title
Elsevier
Volume
313
Issue
9
First Page
983
Last Page
991
Keywords
Subject
Community
Department of Mathematical Sciences
Permalink https://oaks.kent.edu/mathpubs/15
Dinh, H. (2013). Structure of Repeated-Root Constacyclic Codes of Length 3p^s and Their Duals. Elsevier. https://doi.org/10.1016/J.DISC.2013.01.024
Dinh, Hai. 2013. “Structure of Repeated-Root Constacyclic Codes of Length 3p^s and Their Duals”. Elsevier. https://doi.org/10.1016/J.DISC.2013.01.024.
Dinh, H. Structure of Repeated-Root Constacyclic Codes of Length 3p^s and Their Duals. Elsevier, 6 May 2013, doi:10.1016/J.DISC.2013.01.024.