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
来源：
SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI | 2019年 / 37卷 / 02期
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
  • [41] Z2Z2[u]-Cyclic and Constacyclic Codes
    Aydogdu, Ismail
    Abualrub, Taher
    Siap, Irfan
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, 63 (08) : 4883 - 4893
  • [42] Reversible cyclic codes over some finite rings and their application to DNA codes
    Prakash, Om
    Patel, Shikha
    Yadav, Shikha
    COMPUTATIONAL & APPLIED MATHEMATICS, 2021, 40 (07)
  • [43] An Infinite Family of Binary Cyclic Codes With Best Parameters
    Sun, Zhonghua
    Li, Chengju
    Ding, Cunsheng
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2024, 70 (04) : 2411 - 2418
  • [44] New EAQEC codes from cyclic codes overZ4+vZ4
    Liu, Hualu
    Liu, Xiusheng
    QUANTUM INFORMATION PROCESSING, 2024, 23 (03)
  • [45] Reversible cyclic codes over some finite rings and their application to DNA codes
    Om Prakash
    Shikha Patel
    Shikha Yadav
    Computational and Applied Mathematics, 2021, 40
  • [46] Cyclic self dual codes of length pq over Z 4
    Jain, Sonal
    Batra, Sudhir
    JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2022, 25 (08) : 2305 - 2319
  • [47] CYCLIC AND CONSTACYCLIC CODES OVER Z4 + wZ4
    Aydin, Nuh
    Cengellenmis, Yasemin
    Dertli, Abdullah
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (06) : 1447 - 1457
  • [48] Construction of cyclic DNA codes over Z4R
    Yildirim, Tulay
    INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2024, 55 (04) : 1465 - 1476
  • [49] Cyclic codes over Z4 of oddly even length
    Blackford, T
    DISCRETE APPLIED MATHEMATICS, 2003, 128 (01) : 27 - 46
  • [50] New Quantum Codes from the Images of Cyclic Codes
    Bai, Ni
    Kai, Xiaoshan
    Tang, Yongsheng
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2023, 63 (01)
12345