Projective spaces and quasi-cyclic codes

被引:0
|
作者
Gulliver, TA
Bhargava, VK
机构
[1] Univ Canterbury, Dept Elect & Elect Engn, Christchurch 1, New Zealand
[2] Univ Victoria, Dept Elect & Comp Engn, Victoria, BC V8W 3P6, Canada
关键词
quasi-cyclic codes; self-dual codes; incidence matrices;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A family of double circulant quasi-cyclic codes is constructed from the incidence matrices of difference sets associated with hyperplanes in projective space. A subset of these codes leads to a class of doubly-even self-orthogonal codes, and two classes of self-dual codes.
引用
收藏
页码:147 / 160
页数:14
相关论文
共 50 条
  • [31] Anti Quasi-Cyclic LDPC Codes
    Gholami, Zahra
    Gholami, Mohammad
    [J]. IEEE COMMUNICATIONS LETTERS, 2018, 22 (06) : 1116 - 1119
  • [32] Binary quasi-cyclic Goppa codes
    Bommier, G
    Blanchet, F
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2000, 20 (02) : 107 - 124
  • [33] Quasi-cyclic Goppa codes.
    Berger, TP
    [J]. 2000 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, PROCEEDINGS, 2000, : 195 - 195
  • [34] LONG QUASI-CYCLIC CODES ARE GOOD
    WELDON, EJ
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1970, 16 (01) : 130 - +
  • [35] 1-Generator quasi-cyclic and generalized quasi-cyclic codes over the ring
    Gao, Yun
    Gao, Jian
    Wu, Tingting
    Fu, Fang-Wei
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2017, 28 (06) : 457 - 467
  • [36] New quasi-cyclic codes from simplex codes
    Chen, Eric Z.
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2007, 53 (03) : 1193 - 1196
  • [37] On the duals of quasi-cyclic codes and their application to quantum codes
    Benjwal, Shivanshu
    Bhaintwal, Maheshanand
    [J]. QUANTUM INFORMATION PROCESSING, 2024, 23 (04)
  • [38] New codes from chains of quasi-cyclic codes
    Grassl, M
    White, G
    [J]. 2005 IEEE International Symposium on Information Theory (ISIT), Vols 1 and 2, 2005, : 2095 - 2099
  • [39] A link between quasi-cyclic codes and convolutional codes
    Esmaeili, M
    Gulliver, TA
    Secord, NP
    Mahmoud, SA
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1998, 44 (01) : 431 - 435
  • [40] Linking Reversed and Dual Codes of Quasi-Cyclic Codes
    Taki Eldin, Ramy
    Matsui, Hajime
    [J]. IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2022, E105A (03) : 381 - 388