ON CYCLIC CODES AND CYCLIC LCD CODES FROM THE FAMILY OF GROUP RINGS Z4Cn

被引:0
|
作者
Koroglu, Mehmet Emin [1 ]
Ersoy, Bayram Ali [1 ]
机构
[1] Yildiz Tech Univ, Dept Math, Esenler, Turkey
关键词
Group rings; cyclic codes; zero divisors; linear complementary dual (LCD) codes; LINEAR CODES; COMPLEMENTARY;
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work, we study the structure of cyclic zero divisor codes over a family of group rings. We determine the number of elements of these codes and introduce the dual codes. Moreover, we show that there is no non-free cyclic LCD Z(4) codes.
引用
收藏
页码:541 / 549
页数:9
相关论文
共 50 条
  • [31] On cyclic codes over Galois rings
    Kaur, Jasbir
    Dutt, Sucheta
    Sehmi, Ranjeet
    DISCRETE APPLIED MATHEMATICS, 2020, 280 (280) : 156 - 161
  • [32] Z2Z4-Additive Cyclic Codes, Generator Polynomials, and Dual Codes
    Borges, Joaquim
    Fernandez-Cordoba, Cristina
    Ten-Valls, Roger
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (11) : 6348 - 6354
  • [33] Cyclic Codes over Galois Rings
    Kaur, Jasbir
    Dutt, Sucheta
    Sehmi, Ranjeet
    ALGORITHMS AND DISCRETE APPLIED MATHEMATICS, CALDAM 2016, 2016, 9602 : 233 - 239
  • [34] On the generators of Z2Z4[u]-additive codes and additive cyclic codes
    Wu, Huazhang
    Geng, Jie
    Yu, Hao
    PROCEEDINGS OF 2024 3RD INTERNATIONAL CONFERENCE ON CRYPTOGRAPHY, NETWORK SECURITY AND COMMUNICATION TECHNOLOGY, CNSCT 2024, 2024, : 458 - 462
  • [35] Cyclic codes over finite rings
    Greferath, M
    DISCRETE MATHEMATICS, 1997, 177 (1-3) : 273 - 277
  • [36] CYCLIC CODES OVER RINGS OF MATRICES
    Dinh, Hai Quang
    Gaur, Atul
    Kumar, Pratyush
    Singh, Manoj Kumar
    Singh, Abhay Kumar
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2024, 18 (04) : 1100 - 1122
  • [37] DNA CYCLIC CODES OVER RINGS
    Bennenni, Nabil
    Guenda, Kenza
    Mesnager, Sihem
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2017, 11 (01) : 83 - 98
  • [38] Cyclic codes over Galois rings
    Wan, ZX
    ALGEBRA COLLOQUIUM, 1999, 6 (03) : 291 - 304
  • [39] Cyclic codes over finite rings
    Discrete Math, 1-3 (273-277):
  • [40] NEW TERNARY LCD CYCLIC AND BCH CODES
    Xie, Conghui
    Chen, Hao
    Li, Chengju
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2025, 19 (02) : 748 - 754