New constructions of optimal self-dual binary codes of length 54

被引:0
|
作者
Stefka Bouyuklieva
Patric R. J. Östergård
机构
[1] Veliko Tarnovo University,Department of Mathematics and Informatics
[2] Helsinki University of Technology,Department of Electrical and Communications Engineering
来源
关键词
Automorphisms; Cubic codes; Hermitian codes; Self-dual codes; 94B05;
D O I
暂无
中图分类号
学科分类号
摘要
The quaternary Hermitian self-dual [18,9,6]4 codes are classified and used to construct new binary self-dual [54,27,10]2 codes. All self-dual [54,27,10]2 codes obtained have automorphisms of order 3, and six of their weight enumerators have not been previously encountered.
引用
收藏
页码:101 / 109
页数:8
相关论文
共 50 条
  • [31] New Binary Singly Even Self-Dual Codes
    Harada, Masaaki
    Kiermaier, Michael
    Wassermann, Alfred
    Yorgova, Radinka
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (04) : 1612 - 1617
  • [32] Explicit constructions of NMDS self-dual codes
    Han, Dongchun
    Zhang, Hanbin
    DESIGNS CODES AND CRYPTOGRAPHY, 2024, 92 (11) : 3573 - 3585
  • [33] A note on the constructions of MDS self-dual codes
    Haode Yan
    Cryptography and Communications, 2019, 11 : 259 - 268
  • [34] A note on the constructions of MDS self-dual codes
    Yan, Haode
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (02): : 259 - 268
  • [35] Explicit Constructions of MDS Self-Dual Codes
    Sok, Lin
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2020, 66 (06) : 3603 - 3615
  • [36] Self-Dual Codes over R-k and Binary Self-Dual Codes
    Dougherty, Steven
    Yildiz, Bahattin
    Karadeniz, Suat
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, 6 (01): : 89 - 106
  • [37] THE BINARY SELF-DUAL CODES OF LENGTH UP TO 32 - A REVISED ENUMERATION
    CONWAY, JH
    PLESS, V
    SLOANE, NJA
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1992, 60 (02) : 183 - 195
  • [38] On the binary self-dual doubly-even codes of length 112
    Yorgova, Radinka
    2007 IEEE INFORMATION THEORY WORKSHOP, VOLS 1 AND 2, 2007, : 30 - 35
  • [39] On binary self-dual codes with automorphisms
    Yorgova, Radinka Aleksandrova
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2008, 54 (07) : 3345 - 3351
  • [40] Neighborhoods of Binary Self-Dual Codes
    Hannusch, Carolin
    Major, S. Roland
    CONTEMPORARY MATHEMATICS, 2023, 4 (04): : 1174 - 1179