A Construction of Multi-Sender Authentication Codes from Eigenvalues and Eigenvectors of the Matrix Over Finite Fields  

作　　者：Xiuli Wang Lina Wang Yakun Hao 

机构地区：[1]College of Science,Civil Aviation University of China

出　　处：《Journal of Harbin Institute of Technology(New Series)》2019年第1期51-60,共10页哈尔滨工业大学学报（英文版）

基　　金：Sponsored by the National Natural Science Foundation of China(Grant No.61179026);the Fundamental Research of the Central Universities of China Civil Aviation University of Science Special(Grant No.3122016L005)

摘　　要：We construct one multi-sender authentication code by algebraic combination method from eigenvalues and eigenvectors of the matrix over nite elds. Some parameters and the probabilities of three kinds of successful attack of this code are also computed. For multi-sender authentication code,it allows a group of senders to construct an authenticated message for a receiver such that the receiver can verify authenticity of the received message.We construct one multi-sender authentication code by algebraic combination method from eigenvalues and eigenvectors of the matrix over nite elds. Some parameters and the probabilities of three kinds of successful attack of this code are also computed. For multi-sender authentication code,it allows a group of senders to construct an authenticated message for a receiver such that the receiver can verify authenticity of the received message.

关 键 词：multi-sender AUTHENTICATION codes NONSINGULAR symmetric matrix EIGENVALUES EIGENVECTORS finite fields 

分 类 号：O157.4[理学—数学] O236.2[理学—基础数学]