Performance of ternary double circulant, double twistulant, and self-dual codes

被引:0
|
作者
T. Aaron Gulliver
Masaaki Harada
机构
[1] University of Victoria,Department of Electrical and Computer Engineering
[2] Tohoku University,Research Center for Pure and Applied Mathematics, Graduate School of Information Sciences
关键词
Double circulant code; Double twistulant code; Self-dual code; Decoding error probability; 94B05; 94B70;
D O I
暂无
中图分类号
学科分类号
摘要
We study the performance of ternary isodual codes which are not self-dual and ternary self-dual codes, as measured by the decoding error probability with bounded distance decoding. We compare the performance of ternary double circulant and double twistulant codes which are not self-dual with ternary extremal self-dual codes. We also investigate the performance of ternary self-dual codes having large minimum weights.
引用
收藏
页码:409 / 424
页数:15
相关论文
共 50 条
  • [41] Classification of circulant and 4-circulant extremal additive self-dual codes
    Gulliver, TA
    Kim, JL
    ISIT: 2002 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2002, : 457 - 457
  • [42] Self-Dual Double Circulant, Self-Dual Double Negacirculant and LCD Double Negacirculant Codes Over the Ring Fq[u,v]/⟨u2 -u, v2-v, uv-vu⟩
    Dinh, Hai Q.
    Yadav, Bhanu Pratap
    Nguyen, Bac T.
    Upadhyay, Ashish Kumar
    Yamaka, Woraphon
    IEEE ACCESS, 2023, 11 : 92898 - 92912
  • [43] A group induced four-circulant construction for self-dual codes and new extremal binary self-dual codes
    Gildea, Joe
    Kaya, Abidin
    Tylyshchak, Alexander
    Yildiz, Bahattin
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2022, 83 : 1 - 19
  • [44] Double circulant and quasi-twisted self-dual codes over F5 and F7
    Gulliver, T. Aaron
    Harada, Masaaki
    Miyabayashi, Hiroki
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2007, 1 (02) : 223 - 238
  • [45] On self-dual ternary codes and their coordinate ordering
    Encheva, S
    Cohen, G
    INFORMATION SCIENCES, 2000, 126 (1-4) : 277 - 286
  • [46] Optimal ternary formally self-dual codes
    Dougherty, ST
    Gulliver, TA
    Harada, M
    DISCRETE MATHEMATICS, 1999, 196 (1-3) : 117 - 135
  • [47] Self-dual fields on self-dual backgrounds and the double copy
    Brown, Graham R.
    Gowdy, Joshua
    Spence, Bill
    PHYSICAL REVIEW D, 2024, 109 (02)
  • [48] ON THE PERFORMANCE OF OPTIMAL DOUBLE CIRCULANT EVEN CODES
    Gulliver, T. Aaron
    Harada, Masaaki
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2017, 11 (04) : 767 - 775
  • [49] Ternary code construction of unimodular lattices and self-dual codes over [double-struck Z] 6
    Harada, Masaaki
    Kitazume, Masaaki
    Ozeki, Michio
    Journal of Algebraic Combinatorics, 2002, 16 (02): : 209 - 223
  • [50] Self-dual and LCD double circulant and double negacirculant codes over a family of finite rings Fq[V1, V2, ..., Vt]
    Dinh, Hai Q. Q.
    Yadav, Bhanu Pratap
    Bag, Tushar
    Panario, Daniel
    Upadhyay, Ashish Kumar
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2023, 15 (03): : 529 - 551