Quaternary quasi-cyclic codes

被引：2
|
作者：
Pei Jun-ying [1 ]
Zhang Xue-jun [1 ]
机构：
[1] Soochow Univ, Dept Math, Suzhou 215006, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2008年 / 23卷 / 03期
基金：
中国国家自然科学基金;
关键词：
quasi-cyclic code; primary component; type;
D O I：
10.1007/s11766-008-1521-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Quasi-cyclic codes of length mn over Z(4) are shown to be equivalent to A-submodules of A(n), where A = Z(4)[x]/(x(m)-1). In the case of m being odd, all quasi-cyclic codes are shown to be decomposable into the direct sum of a fixed number of cyclic irreducible A-submodules. Finally the distinct quasi-cyclic codes as well as some specific subclasses are enumerated.
引用
收藏
页码：359 / 365
页数：7
相关论文
共 50 条
  • [1] Quaternary quasi-cyclic codes
    PEI Jun-ying ZHANG Xue-jun Dept.of Math.
    [J]. Applied Mathematics:A Journal of Chinese Universities, 2008, (03) : 359 - 365
  • [2] Quaternary quasi-cyclic codes
    Jun-ying Pei
    Xue-jun Zhang
    [J]. Applied Mathematics-A Journal of Chinese Universities, 2008, 23 : 359 - 365
  • [3] Quaternary Quasi-Cyclic Codes with Even Length Components
    Siap, Irfan
    Abualrub, Taher
    Aydin, Nuh
    [J]. ARS COMBINATORIA, 2011, 101 : 425 - 434
  • [4] Quaternary 1-generator quasi-cyclic codes
    Cui, Jie
    Pei, Junying
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2011, 58 (01) : 23 - 33
  • [5] Quaternary 1-generator quasi-cyclic codes
    Jie Cui
    Junying Pei
    [J]. Designs, Codes and Cryptography, 2011, 58 : 23 - 33
  • [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 good quasi-cyclic ternary and quaternary linear codes
    Daskalov, RN
    Gulliver, TA
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1997, 43 (05) : 1647 - 1650
  • [8] Quasi-cyclic codes with cyclic constituent codes
    Lim, Chong Jie
    [J]. FINITE FIELDS AND THEIR APPLICATIONS, 2007, 13 (03) : 516 - 534
  • [9] 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
  • [10] Quasi-cyclic and generalized quasi-cyclic codes and uniqueness of their generators
    Abualrub, Taher
    Seneviratne, Padmapani
    [J]. DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, 2023, 15 (06)
12345