On the intersection of binary linear codes

被引:0
|
作者
Dajian Liao
Zihui Liu
机构
[1] Huaihai Institute of Technology,College of Science
[2] Beijing Institute of Technology,Department of Mathematics
关键词
Minimal access structure; minimal codeword; separating property; trellis complexity; twoweight code; value function;
D O I
暂无
中图分类号
学科分类号
摘要
For a binary linear code, a new relation between the intersection and (2, 2)-separating property is addressed, and a relation between the intersection and the trellis complexity is also given. Using above relations, the authors will apply several classes of binary codes to secret sharing scheme and determine their trellis complexity and separating properties. The authors also present the properties of the intersection of certain kinds of two-weight binary codes. By using the concept of value function, the intersecting properties of general binary codes are described.
引用
收藏
页码:814 / 824
页数:10
相关论文
共 50 条
  • [31] Valid Inequalities for Binary Linear Codes
    Tanatmis, Akin
    Ruzika, Stefan
    Hamacher, Horst W.
    Punekar, Mayur
    Kienle, Frank
    Wehn, Norbert
    2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1- 4, 2009, : 2216 - +
  • [32] Binary Linear Codes With Two Weights
    Wang, Qiuyan
    Ding, Kelan
    Xue, Rui
    IEEE COMMUNICATIONS LETTERS, 2015, 19 (07) : 1097 - 1100
  • [33] ON THE WEIGHT DISTRIBUTION OF BINARY LINEAR CODES
    KARPOVSKY, MG
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1979, 25 (01) : 105 - 109
  • [34] RIGID LINEAR BINARY-CODES
    LEFMANN, H
    PHELPS, KT
    RODL, V
    JOURNAL OF COMBINATORIAL THEORY SERIES A, 1993, 63 (01) : 110 - 128
  • [35] On automorphism groups of binary linear codes
    Borello, Martino
    TOPICS IN FINITE FIELDS, 2015, 632 : 29 - 41
  • [36] THE NONEXISTENCE OF CERTAIN BINARY LINEAR CODES
    HILL, R
    TRAYNOR, KL
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1990, 36 (04) : 917 - 922
  • [37] Linear ℓ-intersection pairs of MDS codes and their applications to AEAQECCs
    Ziteng Huang
    Weijun Fang
    Fang-Wei Fu
    Cryptography and Communications, 2022, 14 : 1189 - 1206
  • [38] Linear l-intersection pairs of codes and their applications
    Guenda, Kenza
    Gulliver, T. Aaron
    Jitman, Somphong
    Thipworawimon, Satanan
    DESIGNS CODES AND CRYPTOGRAPHY, 2020, 88 (01) : 133 - 152
  • [39] Constructions of projective linear codes by the intersection and difference of sets
    Heng, Ziling
    Chen, Fuling
    Xie, Chunlei
    Li, Dexiang
    FINITE FIELDS AND THEIR APPLICATIONS, 2022, 83
  • [40] THE LINEAR-PROGRAMMING BOUND FOR BINARY LINEAR CODES
    BROUWER, AE
    IEEE TRANSACTIONS ON INFORMATION THEORY, 1993, 39 (02) : 677 - 680