NEW TERNARY LCD CYCLIC AND BCH CODES

被引：0
|
作者：
Xie, Conghui [1 ]
Chen, Hao [1 ]
Li, Chengju [2 ]
机构：
[1] Jinan Univ, Coll Informat Sci & Technol Cyber Secur, Guangzhou 510632, Guangdong, Peoples R China
[2] East China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2025年 / 19卷 / 02期
关键词：
Cyclic code; BCH code; LCD code; LINEAR CODES;
D O I：
10.3934/amc.2024022
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The intersection C boolean AND C-perpendicular to of a linear code C and its dual C-perpendicular to is called the hull of this code. When the hull of the code C is zero, the code C is called an LCD code. In this paper, we construct two new families of ternary LCD cyclic and BCH codes. Actually, we give some lengths such that any cyclic codes with these lengths are always
引用
收藏
页码：748 / 754
页数：7
相关论文
共 50 条
  • [1] TERNARY PRIMITIVE LCD BCH CODES
    Huang, Xinmei
    Yue, Qin
    Wu, Yansheng
    Shi, Xiaoping
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2020, : 644 - 659
  • [2] Two classes of ternary LCD constacyclic BCH codes
    Zhou, Yajing
    Kai, Xiaoshan
    Zhu, Shixin
    CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2023, 15 (05): : 905 - 919
  • [3] Two classes of ternary LCD constacyclic BCH codes
    Yajing Zhou
    Xiaoshan Kai
    Shixin Zhu
    Cryptography and Communications, 2023, 15 : 905 - 919
  • [4] New Binary and Ternary LCD Codes
    Galindo, Carlos
    Geil, Olav
    Hernando, Fernando
    Ruano, Diego
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2019, 65 (02) : 1008 - 1016
  • [5] Two Families of LCD BCH Codes
    Li, Shuxing
    Li, Chengju
    Ding, Cunsheng
    Liu, Hao
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2017, 63 (09) : 5699 - 5717
  • [6] BCH cyclic codes
    Ding, Cunsheng
    Li, Chengju
    DISCRETE MATHEMATICS, 2024, 347 (05)
  • [7] Binary primitive LCD BCH codes
    Xinmei Huang
    Qin Yue
    Yansheng Wu
    Xiaoping Shi
    Jerod Michel
    Designs, Codes and Cryptography, 2020, 88 : 2453 - 2473
  • [8] Binary primitive LCD BCH codes
    Huang, Xinmei
    Yue, Qin
    Wu, Yansheng
    Shi, Xiaoping
    Michel, Jerod
    DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (12) : 2453 - 2473
  • [9] PARAMETERS OF LCD BCH CODES WITH TWO LENGTHS
    Yan, Haode
    Liu, Hao
    Li, Chengju
    Yang, Shudi
    ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2018, 12 (03) : 579 - 594
  • [10] Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes
    Masaaki Harada
    Designs, Codes and Cryptography, 2021, 89 : 2295 - 2312
12345