1. Open Access Kent State
  2. On the Linear Ordering of Some Classes of Negacyclic and Cyclic Codes and Their Distance Distributions
Author(s)
Abstract

We investigate negacyclic and cyclic codes of length ps over the finite field Fpa. Negacyclic codes of length ps are precisely the ideals of the chain ring Fpa [x] / 〈xp^s+1〉. This structure is then used to obtain the Hamming distance distribution of the class of such negacyclic codes, which also provides Hamming weight distributions and enumerations of several codes. An one-to-one correspondence between negacyclic and cyclic codes is established to carry accordingly those results of negacyclic codes to cyclic codes.
Format
Article
Identifier(s)
10.1016/J.FFA.2007.07.001
Publication Date
2008-01-01
Publication Title
Elsevier
Volume
14
Issue
1
First Page
22
Last Page
40
Keywords
Subject
Community
Department of Mathematical Sciences
Permalink https://oaks.kent.edu/mathpubs/11
Dinh, H. (2008). On the Linear Ordering of Some Classes of Negacyclic and Cyclic Codes and Their Distance Distributions. Elsevier. https://doi.org/10.1016/J.FFA.2007.07.001
Dinh, Hai. 2008. “On the Linear Ordering of Some Classes of Negacyclic and Cyclic Codes and Their Distance Distributions”. Elsevier. https://doi.org/10.1016/J.FFA.2007.07.001.
Dinh, H. On the Linear Ordering of Some Classes of Negacyclic and Cyclic Codes and Their Distance Distributions. Elsevier, 1 Jan. 2008, doi:10.1016/J.FFA.2007.07.001.