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
  • [31] Hamming weights in irreducible cyclic codes
    Ding, Cunsheng
    Yang, Jing
    DISCRETE MATHEMATICS, 2013, 313 (04) : 434 - 446
  • [32] The weight distributions of two classes of p-ary cyclic codes
    Zheng, Dabin
    Wang, Xiaoqiang
    Hu, Lei
    Zeng, Xiangyong
    FINITE FIELDS AND THEIR APPLICATIONS, 2014, 29 : 202 - 224
  • [33] The Weight Distributions of Several Classes of Cyclic Codes From APN Monomials
    Li, Chunlei
    Li, Nian
    Helleseth, Tor
    Ding, Cunsheng
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2014, 60 (08) : 4710 - 4721
  • [34] Seven Classes of Three-Weight Cyclic Codes
    Zhou, Zhengchun
    Ding, Cunsheng
    IEEE TRANSACTIONS ON COMMUNICATIONS, 2013, 61 (10) : 4120 - 4126
  • [35] Three new constructions of optimal linear codes with few weights
    Yingjie Cheng
    Xiwang Cao
    Gaojun Luo
    Computational and Applied Mathematics, 2023, 42
  • [36] Three new constructions of optimal linear codes with few weights
    Cheng, Yingjie
    Cao, Xiwang
    Luo, Gaojun
    COMPUTATIONAL & APPLIED MATHEMATICS, 2023, 42 (07)
  • [37] Complete weight distributions of two classes of cyclic codes
    Ziling Heng
    Qin Yue
    Cryptography and Communications, 2017, 9 : 323 - 343
  • [38] Cyclic Codes with Four Weights and Sequence Families with Four-Valued Correlation Functions
    Fan Jinmei
    Zhang Yanhai
    Shi Xiubo
    CHINESE JOURNAL OF ELECTRONICS, 2019, 28 (02) : 288 - 293
  • [39] Cyclic codes with few weights and Niho exponents
    Charpin, P
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 2004, 108 (02) : 247 - 259
  • [40] On cyclic codes of length 22r-1 with two zeros whose dual codes have three weights
    Feng, Tao
    DESIGNS CODES AND CRYPTOGRAPHY, 2012, 62 (03) : 253 - 258
12345