The weight distribution of some irreducible cyclic codes

被引:0
|
作者
Liu, Yang [1 ]
Zhang, Yang [2 ]
Kong, Zisen [1 ]
机构
[1] Tianjin Univ Commerce, Coll Math, Tianjin 300134, Peoples R China
[2] Shijiazhuang Tiedao Univ Shijiazhuang, Dept Math & Phys, Shijiazhuang 050043, Hebei, Peoples R China
关键词
Irreducible cyclic codes; weight distribution; Gaussian sums;
D O I
10.1142/S1793830921500920
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, the weight distribution of the irreducible cyclic codes over GF(q) with length q(m) - 1 and dimension m is settled for a few special cases. These irreducible cyclic codes have two weights or three weights or four weights.
引用
收藏
页数:11
相关论文
共 50 条
  • [41] On the Weight Distribution of a Class of Cyclic Codes
    Luo, Jinquan
    Tang, Yuansheng
    Wang, Hongyu
    2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1- 4, 2009, : 1726 - 1729
  • [42] A critical review and some remarks about one- and two-weight irreducible cyclic codes
    Vega, Gerardo
    FINITE FIELDS AND THEIR APPLICATIONS, 2015, 33 : 1 - 13
  • [43] The weight distribution for any irreducible cyclic code of length
    Vega, Gerardo
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2018, 29 (04) : 363 - 370
  • [44] The weight distributions of irreducible cyclic codes of length 2m
    Sharma, Anuradha
    Bakshi, Gurmeet K.
    Raka, Madhu
    FINITE FIELDS AND THEIR APPLICATIONS, 2007, 13 (04) : 1086 - 1095
  • [45] WEIGHTS OF IRREDUCIBLE CYCLIC CODES
    BAUMERT, LD
    MCELIECE, RJ
    INFORMATION AND CONTROL, 1972, 20 (02): : 158 - &
  • [46] On the Weight Distribution of the Dual of some Cyclic Codes with Two Non Conjugated Zeros
    Vazquez-Fernandez, C. A.
    Vega-Hernandez, G.
    JOURNAL OF APPLIED RESEARCH AND TECHNOLOGY, 2011, 9 (01) : 36 - 48
  • [47] Complete weight enumerators of some cyclic codes
    Li, Chengju
    Yue, Qin
    Fu, Fang-Wei
    DESIGNS CODES AND CRYPTOGRAPHY, 2016, 80 (02) : 295 - 315
  • [48] The weight distributions of some binary cyclic codes
    Sharma, Anuradha
    Bala, Suntan
    ARS COMBINATORIA, 2016, 126 : 41 - 63
  • [49] The Weight Hierarchy of Some Reducible Cyclic Codes
    Xiong, Maosheng
    Li, Shuxing
    Ge, Gennian
    IEEE TRANSACTIONS ON INFORMATION THEORY, 2016, 62 (07) : 4071 - 4080
  • [50] THE WEIGHT DISTRIBUTIONS OF SOME MINIMAL CYCLIC CODES
    MACWILLIAMS, J
    SEERY, J
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1981, 27 (06) : 796 - 806