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
  • [41] Enumeration of Self-Dual Codes of Length 6 over Zp
    Choi, Whan-Hyuk
    MATHEMATICS, 2019, 7 (10)
  • [42] Constructing MDS Galois self-dual constacyclic codes over finite fields
    Mi, Jiafu
    Cao, Xiwang
    DISCRETE MATHEMATICS, 2021, 344 (06)
  • [43] Classification of type IV self-dual Z4-Codes of length 16
    Harada, M
    Munemasa, A
    FINITE FIELDS AND THEIR APPLICATIONS, 2000, 6 (03) : 244 - 254
  • [44] Group rings, G-codes and constructions of self-dual and formally self-dual codes
    Dougherty, Steven T.
    Gildea, Joseph
    Taylor, Rhian
    Tylyshchak, Alexander
    DESIGNS CODES AND CRYPTOGRAPHY, 2018, 86 (09) : 2115 - 2138
  • [45] Group rings, G-codes and constructions of self-dual and formally self-dual codes
    Steven T. Dougherty
    Joseph Gildea
    Rhian Taylor
    Alexander Tylyshchak
    Designs, Codes and Cryptography, 2018, 86 : 2115 - 2138
  • [46] Self-dual cyclic codes over Z4 of length 4n
    Cao, Yuan
    Cao, Yonglin
    Fu, Fang-Wei
    Wang, Guidong
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2022, 33 (01) : 21 - 51
  • [47] An explicit expression for Euclidean self-dual cyclic codes of length 2k over Galois ring GR(4, m)
    Cao, Yuan
    Cao, Yonglin
    Ling, San
    Wang, Guidong
    FINITE FIELDS AND THEIR APPLICATIONS, 2021, 72
  • [48] SELF-DUAL CODES OVER GF(3) AND GF(4) OF LENGTH NOT EXCEEDING 16
    CONWAY, JH
    PLESS, V
    SLOANE, NJA
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1979, 25 (03) : 312 - 322
  • [49] Galois self-dual extended duadic constacyclic codes
    Fu, Yuqing
    Liu, Hongwei
    DISCRETE MATHEMATICS, 2023, 346 (01)
  • [50] On the Classification of Self-Dual Additive Codes over GF(9)
    Danielsen, Lars Eirik
    2010 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, 2010, : 1188 - 1192