SOME NEW CLASSES OF CYCLIC CODES WITH THREE OR SIX WEIGHTS

被引：2
|
作者：
Xia, Yongbo [1 ]
Helleseth, Tor [2 ]
Li, Chunlei [3 ]
机构：
[1] South Central Univ Natl, Dept Math & Stat, Wuhan 430074, Peoples R China
[2] Univ Bergen, Dept Informat, N-5020 Bergen, Norway
[3] Univ Stavanger, Dept Elect Engn & Comp Sci, CIPSI, N-4036 Stavanger, Norway
来源：
ADVANCES IN MATHEMATICS OF COMMUNICATIONS | 2015年 / 9卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cyclic code; weight distribution; exponential sum; quadratic form; CROSS-CORRELATION; DISTRIBUTIONS; SEQUENCES;
D O I：
10.3934/amc.2015.9.23
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, a class of three-weight cyclic codes over prime fields IF p of odd order whose duals have two zeros, and a class of six-weight cyclic codes whose duals have three zeros are presented. The weight distributions of these cyclic codes are derived.
引用
收藏
页码：23 / 36
页数：14
相关论文
共 50 条
  • [41] Three classes of new EAQEC MDS codes
    Hu, Peng
    Liu, Xiusheng
    QUANTUM INFORMATION PROCESSING, 2021, 20 (03)
  • [42] Some new classes of quantum BCH codes
    Jiayuan Zhang
    Ping Li
    Xiaoshan Kai
    Shixin Zhu
    Quantum Information Processing, 21
  • [43] Some new classes of quantum BCH codes
    Zhang, Jiayuan
    Li, Ping
    Kai, Xiaoshan
    Zhu, Shixin
    QUANTUM INFORMATION PROCESSING, 2022, 21 (12)
  • [44] A class of linear codes with two weights or three weights from some planar functions
    Zhu, Xiaoxing
    Yang, Fengfan
    JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2018, 56 (1-2) : 235 - 252
  • [45] A class of linear codes with two weights or three weights from some planar functions
    Xiaoxing Zhu
    Fengfan Yang
    Journal of Applied Mathematics and Computing, 2018, 56 : 235 - 252
  • [46] Three Classes of Optimal Ternary Cyclic Codes and the Weight Distributions of Their Duals
    Li Lanqiang
    Zhu Shixin
    Liu Li
    CHINESE JOURNAL OF ELECTRONICS, 2019, 28 (04) : 674 - 681
  • [47] Three Classes of Optimal Ternary Cyclic Codes and the Weight Distributions of Their Duals
    LI Lanqiang
    ZHU Shixin
    LIU Li
    ChineseJournalofElectronics, 2019, 28 (04) : 674 - 681
  • [48] On binary cyclic codes with few weights
    Hollmann, HDL
    Xiang, Q
    FINITE FIELDS AND APPLICATIONS, 2001, : 251 - 275
  • [49] Hamming weights in irreducible cyclic codes
    Ding, Cunsheng
    Yang, Jing
    DISCRETE MATHEMATICS, 2013, 313 (04) : 434 - 446
  • [50] On the weights of binary irreducible cyclic codes
    Aubry, Yves
    Langevin, Philippe
    CODING AND CRYPTOGRAPHY, 2006, 3969 : 46 - 54
12345