Near-Extremal Formally Self-Dual Even Codes of Lengths 24 and 32

被引：0
|
作者：
T. Aaron Gulliver
Masaaki Harada
Takuji Nishimura
Patric R. J. Östergård
机构：
[1] University of Victoria,Department of Electrical and Computer Engineering
[2] Yamagata University,Department of Mathematical Sciences
[3] Helsinki University of Technology,Department of Electrical and Communications Engineering
来源：
Designs, Codes and Cryptography | 2005年 / 37卷
关键词：
Formally self-dual even codes; weight enumerators; 94B05;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The weight enumerator of a formally self-dual even code is obtained by the Gleason theorem. Recently, Kim and Pless gave some restrictions on the possible weight enumerators of near-extremal formally self-dual even codes of length divisible by eight. In this paper, the weight enumerators for which there is a near-extremal formally self-dual even code are completely determined for lengths 24 and 32, by constructing new near-extremal formally self-dual codes. We also give a classification of near- extremal double circulant codes of lengths 24 and 32.
引用
收藏
页码：465 / 471
页数：6
相关论文
共 50 条
  • [1] Near-extremal formally self-dual even codes of lengths 24 and 32
    Gulliver, TA
    Harada, M
    Nishimura, T
    Östergärd, PRJ
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2005, 37 (03) : 465 - 471
  • [2] The nonexistence of near-extremal formally self-dual codes
    Han, Sunghyu
    Kim, Jon-Lark
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2009, 51 (01) : 69 - 77
  • [3] The nonexistence of near-extremal formally self-dual codes
    Sunghyu Han
    Jon-Lark Kim
    [J]. Designs, Codes and Cryptography, 2009, 51 : 69 - 77
  • [4] Nonexistence of near-extremal formally self-dual even codes of length divisible by 8
    Han, Sunghyu
    Lee, June Bok
    [J]. DISCRETE APPLIED MATHEMATICS, 2007, 155 (08) : 1031 - 1037
  • [5] On the classification of extremal even formally self-dual codes of lengths 20 and 22
    Fields, JE
    Gaborit, P
    Huffman, WC
    Pless, V
    [J]. DISCRETE APPLIED MATHEMATICS, 2001, 111 (1-2) : 75 - 86
  • [6] On extremal and near-extremal self-dual ternary codes
    Pender, Thomas
    [J]. DISCRETE MATHEMATICS, 2024, 347 (06)
  • [7] On the classification of extremal even formally self-dual codes
    Fields, JE
    Gaborit, P
    Huffman, WC
    Pless, V
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 1999, 18 (1-3) : 125 - 148
  • [8] On the Classification of Extremal Even Formally Self-Dual Codes
    J. E. Fields
    P. Gaborit
    W. C. Huffman
    V. Pless
    [J]. Designs, Codes and Cryptography, 1999, 18 : 125 - 148
  • [9] CLASSIFICATION OF THE EXTREMAL FORMALLY SELF-DUAL EVEN CODES OF LENGTH 30
    Bouyuklieva, Stefka
    Bouyukliev, Iliya
    [J]. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2010, 4 (03) : 433 - 439
  • [10] Classification of Extremal Double Circulant Formally Self-Dual even Codes
    Gulliver T.A.
    Harada M.
    [J]. Designs, Codes and Cryptography, 1997, 11 (1) : 25 - 35
12345