THE CLASSIFICATION OF SELF-DUAL CODES OVER GALOIS RINGS OF LENGTH 4

被引:1
|
作者
Choi, Whan-Hyuk [1 ]
机构
[1] Kangwon Natl Univ, Dept Math, Chunchon 24341, South Korea
关键词
self-dual codes; classification; Galois ring; mass formula; CONSTRUCTION;
D O I
10.4134/BKMS.b170791
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The classification of the self-dual codes over Galois rings GR(p, 2) and GR(p(2) , 2) of length 4 is completed for all primes p up to equivalence in terms of automorphism group. We obtain all inequivalent classes and the number of each classes of self-dual codes for all primes.
引用
收藏
页码:1371 / 1387
页数:17
相关论文
共 50 条
  • [31] SELF-DUAL CODES OVER GF(4)
    MACWILLIAMS, FJ
    ODLYZKO, AM
    SLOANE, NJA
    WARD, HN
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1978, 25 (03) : 288 - 318
  • [32] Self-dual codes over Z(4)
    Bandi, Rama Krishna
    Bhaintwal, Maheshanand
    DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2015, 7 (02)
  • [33] Construction of self-dual codes over finite rings Zpm
    Lee, Heisook
    Lee, Yoonjin
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2008, 115 (03) : 407 - 422
  • [34] Negacyclic self-dual codes over finite chain rings
    Kai, Xiaoshan
    Zhu, Shixin
    DESIGNS CODES AND CRYPTOGRAPHY, 2012, 62 (02) : 161 - 174
  • [35] Self-Dual Permutation Codes over Finite Chain Rings
    YUAN Yuan1
    2. School of Informatics
    Wuhan University Journal of Natural Sciences, 2007, (06) : 992 - 996
  • [36] On self-dual cyclic codes over finite chain rings
    Aicha Batoul
    Kenza Guenda
    T. Aaron Gulliver
    Designs, Codes and Cryptography, 2014, 70 : 347 - 358
  • [37] COMPOSITE CONSTRUCTIONS OF SELF-DUAL CODES FROM GROUP RINGS AND NEW EXTREMAL SELF-DUAL BINARY CODES OF LENGTH 68
    Dougherty, Steven T.
    Gildea, Joe
    Korban, Adrian
    Kaya, Abidin
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2020, 14 (04) : 677 - 702
  • [38] A complete classification of ternary self-dual codes of length 24
    Harada, Masaaki
    Munemasa, Akihiro
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2009, 116 (05) : 1063 - 1072
  • [39] Classification of Quaternary Hermitian Self-Dual Codes of Length 20
    Harada, Masaaki
    Munemasa, Akihiro
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2011, 57 (06) : 3758 - 3762
  • [40] CLASSIFICATION OF TERNARY EXTREMAL SELF-DUAL CODES OF LENGTH 28
    Harada, Masaaki
    Munemasa, Akihiro
    Venkov, Boris
    MATHEMATICS OF COMPUTATION, 2009, 78 (267) : 1787 - 1796