1. Open Access Kent State
  2. Repeated-Root Constacyclic Codes of Length ℓp^s and Their Duals
Author(s)
Abstract

An equivalence relation is introduced on the nonzero elements of the finite field Fpm to classify constacyclic codes of arbitrary length over Fpm. According to the equivalence classes, all constacyclic codes of length ℓps over Fpm and their duals are characterized, where ℓ is a prime different from p and s is a positive integer. Self-dual cyclic codes of length ℓps over Fpm exist precisely when p is equal to two; in this case, all self-dual cyclic codes of length 2sℓ over F2m are presented.
Format
Article
Identifier(s)
10.1016/J.DAM.2014.05.046
Publication Date
2014-11-20
Publication Title
Elsevier
Volume
177
First Page
60
Last Page
70
Keywords
Subject
Community
Department of Mathematical Sciences
Permalink https://oaks.kent.edu/mathpubs/18
Chen, B., Dinh, H., & Liu, H. (2014). Repeated-Root Constacyclic Codes of Length ℓp^s and Their Duals. Elsevier. https://doi.org/10.1016/J.DAM.2014.05.046
Chen, Bocong, Hai Dinh, and Hongwei Liu. 2014. “Repeated-Root Constacyclic Codes of Length ℓp^s and Their Duals”. Elsevier. https://doi.org/10.1016/J.DAM.2014.05.046.
Chen, B., H. Dinh, and H. Liu. Repeated-Root Constacyclic Codes of Length ℓp^s and Their Duals. Elsevier, 20 Nov. 2014, doi:10.1016/J.DAM.2014.05.046.