Cyclic codes over Z4 of oddly even length

被引：93
|
作者：
Blackford, T [1 ]
机构：
[1] Rensselaer Polytech Inst, Dept Math, Troy, NY 12180 USA
来源：
DISCRETE APPLIED MATHEMATICS | 2003年 / 128卷 / 01期
关键词：
cyclic codes; Z(4)-linear codes; Galois rings;
D O I：
10.1016/S0166-218X(02)00434-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper classifies all cyclic codes over Z(4) of length 2n, n odd. Descriptions are given in terms of discrete Fourier transforms, generator polynomials, parity check matrices, and the concatenated (a+b/b) construction. Some results about the minimum Lee weights of these codes and self-dual codes are also included. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：27 / 46
页数：20
相关论文
共 50 条
  • [1] On the hulls of cyclic codes of oddly even length over Z4
    Pathak, Sachin
    Sharma, Anuradha
    [J]. DISCRETE MATHEMATICS, 2024, 347 (03)
  • [2] Cyclic codes over Z4 of even length
    Dougherty, ST
    Ling, S
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2006, 39 (02) : 127 - 153
  • [3] Cyclic codes of even length over Z4
    Woo, Sung Sik
    [J]. JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (03) : 697 - 706
  • [4] Construction and enumeration for self-dual cyclic codes over Z4 of oddly even length
    Cao, Yuan
    Cao, Yonglin
    Dougherty, Steven T.
    Ling, San
    [J]. DESIGNS CODES AND CRYPTOGRAPHY, 2019, 87 (10) : 2419 - 2446
  • [5] Negacyclic codes over Z4 of even length
    Blackford, T
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 2003, 49 (06) : 1417 - 1424
  • [6] On the construction of self-dual cyclic codes over Z4 with arbitrary even length
    Cao, Yuan
    Cao, Yonglin
    Ling, San
    Wang, Guidong
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2022, 14 (05): : 1117 - 1143
  • [7] Cyclic codes of odd length over Z4 [u] / ⟨uk⟩
    Cao, Yuan
    Li, Qingguo
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2017, 9 (05): : 599 - 624
  • [8] Cyclic codes of length 2e over Z4
    Abualrub, T
    Oehmke, R
    [J]. DISCRETE APPLIED MATHEMATICS, 2003, 128 (01) : 3 - 9
  • [9] Skew cyclic codes over Z4
    Suprijanto, Djoko
    Tang, Hopein Christofen
    [J]. COMMUNICATIONS IN COMBINATORICS AND OPTIMIZATION, 2024,
  • [10] Negacyclic and cyclic codes over Z4
    Wolfmann, J
    [J]. IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (07) : 2527 - 2532
12345