A New Construction of Multisender Authentication Codes from Symplectic Geometry over Finite Fields

被引:0
|
作者
Chen Shang-di [1 ]
Yang Chun-li [1 ]
机构
[1] Civil Aviat Univ China, Coll Sci, Tianjin 300300, Peoples R China
关键词
symplectic geometry; multisender authentication codes; finite fields; ARBITRATION;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Multisender authentication codes allow a group of senders to construct an authenticated message for a receiver such that the receiver can verify authenticity of the received message. In this paper, we give the model of multisender authentication codes and the calculation formulas on probability of success in attacks by malicious groups of senders. A construction of multisender authentication codes from symplectic geometry over finite fields is given, and the parameters and the probabilities of deceptions are also calculated.
引用
收藏
页码:353 / 366
页数:14
相关论文
共 50 条
  • [31] Some properties of skew codes over finite fields
    Luis Felipe Tapia Cuitiño
    Andrea Luigi Tironi
    Designs, Codes and Cryptography, 2017, 85 : 359 - 380
  • [32] Linear codes with few weights over finite fields
    Wang, Yan
    Fan, Jiayi
    Li, Nian
    Liu, Fangyuan
    FINITE FIELDS AND THEIR APPLICATIONS, 2024, 100
  • [33] Some properties of skew codes over finite fields
    Tapia Cuitino, Luis Felipe
    Luigi Tironi, Andrea
    DESIGNS CODES AND CRYPTOGRAPHY, 2017, 85 (02) : 359 - 380
  • [34] Construction of irreducible polynomials over finite fields
    Sharma, P. L.
    Ashima
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2022, 15 (07)
  • [35] Construction of primitive polynomials over finite fields
    Alizadeh, Mahmood
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2021, 20 (05)
  • [36] Construction of Binary LDPC Convolutional Codes Based on Finite Fields
    Mu, Liwei
    Liu, Xingcheng
    Liang, Chulong
    IEEE COMMUNICATIONS LETTERS, 2012, 16 (06) : 897 - 900
  • [37] Orthogonal Variable Spreading Factor Codes over Finite Fields
    Yamasaki, Shoichiro
    Matsushima, Tomoko K.
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2022, E105A (01) : 44 - 52
  • [38] On the construction of a family of transversal subspaces over finite fields
    Chistov, Alexander
    Fournier, Herve
    Koiran, Pascal
    Perifel, Sylvain
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2008, 429 (2-3) : 589 - 600
  • [39] An Algebraic Construction of Quasi-Cyclic LDPC Codes Based on the Conjugates of Primitive Elements over Finite Fields
    Asif, Muhammad
    Zhou, Wuyang
    Ally, Juma Saidi
    Khan, Nauman Ali
    Akhtar, Zain ul Abiden
    2018 IEEE 18TH INTERNATIONAL CONFERENCE ON COMMUNICATION TECHNOLOGY (ICCT), 2018, : 115 - 119
  • [40] New construction of error-correcting pooling designs from singular linear spaces over finite fields
    Gang Wang
    You Gao
    Journal of Combinatorial Optimization, 2021, 41 : 197 - 212