A Characterization of Two-Weight Projective Cyclic Codes

被引：5
|
作者：
Feng, Tao [1 ,2 ]
机构：
[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China
[2] Beijing Ctr Math & Informat Interdisciplinary Sci, Beijing 100048, Peoples R China
来源：
IEEE TRANSACTIONS ON INFORMATION THEORY | 2015年 / 61卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Cyclic code; two-weight code; projective code; Gauss sum; WEIGHT DISTRIBUTIONS;
D O I：
10.1109/TIT.2014.2366742
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We give necessary conditions for a two-weight projective cyclic code to be the direct sum of two one-weight irreducible cyclic subcodes of the same dimension, following the work of Wolfmann and Vega. This confirms Vega's conjecture that all the two-weight cyclic codes of this type are the known ones in the projective case.
引用
收藏
页码：66 / 71
页数：6
相关论文
共 50 条
  • [31] Optimal Ternary Cubic Two-Weight Codes
    Shi Minjia
    Huang Daitao
    Sole, Patrick
    [J]. CHINESE JOURNAL OF ELECTRONICS, 2018, 27 (04) : 734 - 738
  • [32] Optimal Ternary Cubic Two-Weight Codes
    SHI Minjia
    HUANG Daitao
    SOL Patrick
    [J]. Chinese Journal of Electronics, 2018, 27 (04) : 734 - 738
  • [33] Complete weight enumerators of a class of two-weight linear codes
    Shudi Yang
    Qin Yue
    Yansheng Wu
    Xiangli Kong
    [J]. Cryptography and Communications, 2019, 11 : 609 - 620
  • [34] New constructions of a family of 2-generator quasi-cyclic two-weight codes and related codes
    Chen, Eric Z.
    [J]. 2007 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-7, 2007, : 861 - 864
  • [35] SOME TWO-WEIGHT AND THREE-WEIGHT LINEAR CODES
    Li, Chengju
    Bae, Sunghan
    Yang, Shudi
    [J]. ADVANCES IN MATHEMATICS OF COMMUNICATIONS, 2019, 13 (01) : 195 - 211
  • [36] Complete weight enumerators of a class of two-weight linear codes
    Yang, Shudi
    Yue, Qin
    Wu, Yansheng
    Kong, Xiangli
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2019, 11 (04): : 609 - 620
  • [37] Five classes of optimal two-weight linear codes
    Luo, Gaojun
    Cao, Xiwang
    [J]. CRYPTOGRAPHY AND COMMUNICATIONS-DISCRETE-STRUCTURES BOOLEAN FUNCTIONS AND SEQUENCES, 2018, 10 (06): : 1119 - 1135
  • [38] Trellis complexity and pseudoredundancy of relative two-weight codes
    Zihui Liu
    Xin-Wen Wu
    [J]. Applicable Algebra in Engineering, Communication and Computing, 2016, 27 : 139 - 158
  • [39] Two-Weight Codes, Partial Geometries and Steiner Systems
    Frank De Clerck
    Mario Delanote
    [J]. Designs, Codes and Cryptography, 2000, 21 : 87 - 98
  • [40] A Projective Two-Weight Code Related to the Simple Group of Conway
    Rodrigues, B. G.
    [J]. GRAPHS AND COMBINATORICS, 2018, 34 (03) : 509 - 521
12345