Weight distributions of cyclic self-dual codes

被引：43
|
作者：
Nedeloaia, CS [1 ]
机构：
[1] Univ Limoges, LACO, F-87060 Limoges, France
[2] INRIA, Projet CODES, F-78153 Le Chesnay, France
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2003年 / 49卷 / 06期
关键词：
cyclic codes; self-dual codes; shadow codes; squaring construction; vertical bar u vertical bar u plus v vertical bar construction; weight enumerator;
D O I：
10.1109/TIT.2003.811921
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We give a 1-level squaring construction for binary repeated-root cyclic codes of length n = 2(a)b, a greater than or equal to 1, b odd. This allows us to obtain the weight distributions of all cyclic binary self-dual codes of lengths up to 110, which are not accessible by direct computation. We also use the shadow construction, as a particular method for Type I self-dual codes.
引用
收藏
页码：1582 / 1591
页数：10
相关论文
共 50 条
  • [1] On cyclic self-dual codes
    Kai, Xiaoshan
    Zhu, Shixin
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2008, 19 (06) : 509 - 525
  • [2] On cyclic self-dual codes
    Xiaoshan Kai
    Shixin Zhu
    Applicable Algebra in Engineering, Communication and Computing, 2008, 19 : 509 - 525
  • [3] Self-dual Codes and Cyclic Codes over Fp + vFp
    Zhang, Guanghui
    Li, Liangchen
    ARS COMBINATORIA, 2014, 116 : 445 - 455
  • [4] WEIGHT ENUMERATORS OF SELF-DUAL CODES
    BRUALDI, RA
    PLESS, VS
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1991, 37 (04) : 1222 - 1225
  • [5] On self-dual cyclic codes over finite chain rings
    Batoul, Aicha
    Guenda, Kenza
    Gulliver, T. Aaron
    DESIGNS CODES AND CRYPTOGRAPHY, 2014, 70 (03) : 347 - 358
  • [6] On self-dual cyclic codes over finite chain rings
    Aicha Batoul
    Kenza Guenda
    T. Aaron Gulliver
    Designs, Codes and Cryptography, 2014, 70 : 347 - 358
  • [7] CYCLIC AND CONSTACYCLIC SELF-DUAL CODES OVER Rk
    Karadeniz, Suat
    Kelebek, Ismail Gokhan
    Yildiz, Bahattin
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2017, 54 (04) : 1111 - 1122
  • [8] Cyclic codes and self-dual codes over F2+uF2
    Bonnecaze, A
    Udaya, P
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (04) : 1250 - 1255
  • [9] 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
  • [10] Double quadratic residue codes and self-dual double cyclic codes
    Karbaski, Arezoo Soufi
    Abualrub, Taher
    Dougherty, Steven T.
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2022, 33 (02) : 91 - 115
12345