On the Classification of Self-Dual Codes over 𝔽5

被引：0
|
作者：
Masaaki Harada
Patric R. J. Östergård
机构：
[1] Department of Mathematical Sciences,
[2] Yamagata University,undefined
[3] Yamagata 990-8560,undefined
[4] Japan. e-mail: mharada@sci.kj.yamagata-u.ac.jp,undefined
[5] Department of Electrical and Communications Engineering,undefined
[6] Helsinki University of Technology,undefined
[7] P.O. Box 3000,undefined
[8] 02015 HUT,undefined
[9] Finland. e-mail: Patric.Ostergard@hut.fi,undefined
来源：
Graphs and Combinatorics | 2003年 / 19卷
关键词：
D O I：
暂无
中图分类号：
学科分类号：
摘要：
 In this paper, we give the classification of self-dual 𝔽5-codes of lengths 14 and 16. Up to equivalence, there are 53 and 535 such codes, respectively. It is also shown that there is no self-dual [18, 9, 8] code over 𝔽5.
引用
收藏
页码：203 / 214
页数：11
相关论文
共 50 条
  • [1] On the classification of self-dual codes over F5
    Harada, M
    Östergård, PRJ
    GRAPHS AND COMBINATORICS, 2003, 19 (02) : 203 - 214
  • [2] SELF-DUAL CODES OVER GF(5)
    LEON, JS
    PLESS, V
    SLOANE, NJA
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1982, 32 (02) : 178 - 194
  • [3] Constructions of self-dual codes and formally self-dual codes over rings
    Dougherty, Steven T.
    Kaya, Abidin
    Salturk, Esengul
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2016, 27 (05) : 435 - 449
  • [4] Constructions of self-dual codes and formally self-dual codes over rings
    Steven T Dougherty
    Abidin Kaya
    Esengül Saltürk
    Applicable Algebra in Engineering, Communication and Computing, 2016, 27 : 435 - 449
  • [5] New self-dual codes over GF(5)
    Georgiou, S
    Koukouvinos, C
    CRYPTOGRAPHY AND CODING, 1999, 1746 : 63 - 69
  • [6] On self-dual codes over F5
    Han, Sunghyu
    Kim, Jon-Lark
    DESIGNS CODES AND CRYPTOGRAPHY, 2008, 48 (01) : 43 - 58
  • [7] On the Classification of Self-Dual Additive Codes over GF(9)
    Danielsen, Lars Eirik
    2010 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, 2010, : 1188 - 1192
  • [8] 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
  • [9] CLASSIFICATION AND ENUMERATION OF SELF-DUAL CODES
    PLESS, V
    SLOANE, NJA
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1975, 18 (03) : 313 - 335
  • [10] On the classification and enumeration of self-dual codes
    Huffman, WC
    FINITE FIELDS AND THEIR APPLICATIONS, 2005, 11 (03) : 451 - 490
12345