On extremal and near-extremal self-dual ternary codes

被引：0
|
作者：
Pender, Thomas [1 ]
机构：
[1] Simon Fraser Univ, Dept Math, Burnaby, BC V5A 1S6, Canada
来源：
DISCRETE MATHEMATICS | 2024年 / 347卷 / 06期
关键词：
Self-dual codes; Extremal codes; Near-extremal codes; Ternary codes; Orthogonal designs; Weight enumerators;
D O I：
10.1016/j.disc.2024.113968
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A computational approach to using plug-in arrays, circulant matrices, and negacirculant matrices in the construction and enumeration of extremal and near-extremal self -dual ternary codes. Isomorphism classes of such codes obtainable from orthogonal designs of dimensions 2, 4, and 8 are completely enumerated for several lengths. Additionally, partial searches are conducted for larger lengths, and weight enumerators are derived for nearextremal codes. (c) 2024 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
引用
收藏
页数：25
相关论文
共 50 条
  • [1] The nonexistence of near-extremal formally self-dual codes
    Han, Sunghyu
    Kim, Jon-Lark
    DESIGNS CODES AND CRYPTOGRAPHY, 2009, 51 (01) : 69 - 77
  • [2] The nonexistence of near-extremal formally self-dual codes
    Sunghyu Han
    Jon-Lark Kim
    Designs, Codes and Cryptography, 2009, 51 : 69 - 77
  • [3] ON EXTREMAL SELF-DUAL TERNARY CODES OF LENGTHS 28 TO 40
    HUFFMAN, WC
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1992, 38 (04) : 1395 - 1400
  • [4] Near-extremal formally self-dual even codes of lengths 24 and 32
    Gulliver, TA
    Harada, M
    Nishimura, T
    Östergärd, PRJ
    DESIGNS CODES AND CRYPTOGRAPHY, 2005, 37 (03) : 465 - 471
  • [5] Near-Extremal Formally Self-Dual Even Codes of Lengths 24 and 32
    T. Aaron Gulliver
    Masaaki Harada
    Takuji Nishimura
    Patric R. J. Östergård
    Designs, Codes and Cryptography, 2005, 37 : 465 - 471
  • [6] Near-Extremal Type I Self-Dual Codes with Minimal Shadow over GF (2) and GF (4)
    Han, Sunghyu
    INFORMATION, 2018, 9 (07)
  • [7] Automorphisms of Extremal Self-Dual Codes
    Bouyuklieva, Stefka
    Malevich, Anton
    Willems, Wolfgang
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2010, 56 (05) : 2091 - 2096
  • [8] On involutions in extremal self-dual codes and the dual distance of semi self-dual codes
    Borello, Martino
    Nebe, Gabriele
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 33 : 80 - 89
  • [9] Binary self-dual extremal codes of length 92
    Yorgova, Radinka
    2006 IEEE International Symposium on Information Theory, Vols 1-6, Proceedings, 2006, : 1292 - 1295
  • [10] Construction of new extremal self-dual codes
    Gulliver, TA
    Harada, M
    Kim, JL
    DISCRETE MATHEMATICS, 2003, 263 (1-3) : 81 - 91
12345