New codes from chains of quasi-cyclic codes

被引:0
|
作者
Grassl, M [1 ]
White, G [1 ]
机构
[1] Univ Karlsruhe, Fak Informat, Inst Algorithmen & Kognit Syst, D-76128 Karlsruhe, Germany
关键词
D O I
暂无
中图分类号
TN [电子技术、通信技术];
学科分类号
0809 ;
摘要
Well known constructions are applied to chains of quasi-cyclic codes in order to achieve new codes that improve on best known bounds on the minimum distance. These techniques have previously been successfully applied to chains of cyclic and algebraic-geometric codes. In conjunction with an improved algorithm for computing the minimum weight of quasi-cyclic codes, the constructions have so far yielded 274 new codes improving the lower bounds.
引用
收藏
页码:2095 / 2099
页数:5
相关论文
共 50 条
  • [1] New quasi-cyclic codes from simplex codes
    Chen, Eric Z.
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (03) : 1193 - 1196
  • [2] New Binary Quantum Codes Constructed from Quasi-Cyclic Codes
    Guan, Chaofeng
    Li, Ruihu
    Lu, Liangdong
    Yao, Yu
    [J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2022, 61 (06)
  • [3] Quasi-cyclic codes with cyclic constituent codes
    Lim, Chong Jie
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2007, 13 (03) : 516 - 534
  • [4] On quasi-cyclic codes as a generalization of cyclic codes
    Barbier, M.
    Chabot, C.
    Quintin, G.
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2012, 18 (05) : 904 - 919
  • [5] New Binary Quantum Codes Constructed from Quasi-Cyclic Codes
    Chaofeng Guan
    Ruihu Li
    Liangdong Lu
    Yu Yao
    [J]. International Journal of Theoretical Physics, 61
  • [6] On quasi-cyclic codes
    Heijnen, P
    van Tilborg, H
    Weijs, S
    [J]. 1998 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY - PROCEEDINGS, 1998, : 65 - 65
  • [7] New binary linear codes from quasi-cyclic codes and an augmentation algorithm
    Nuh Aydin
    Nicholas Connolly
    John Murphree
    [J]. Applicable Algebra in Engineering, Communication and Computing, 2017, 28 : 339 - 350
  • [8] Notes on Quasi-Cyclic Codes with Cyclic Constituent Codes
    Shi, Minjia
    Zhang, Yiping
    Sole, Patrick
    [J]. MATHEMATICS ACROSS CONTEMPORARY SCIENCES, 2017, 190 : 193 - 206
  • [9] New binary linear codes from quasi-cyclic codes and an augmentation algorithm
    Aydin, Nuh
    Connolly, Nicholas
    Murphree, John
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2017, 28 (04) : 339 - 350
  • [10] Some new binary quasi-cyclic codes from codes over the ring
    Aydin, Nuh
    Karadeniz, Suat
    Yildiz, Bahattin
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2013, 24 (05) : 355 - 367