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

A Construction of Multi-Sender Authentication Codes from Eigenvalues and Eigenvectors of the Matrix Over Finite Fields
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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.
机构地区 College of Science
出处 《Journal of Harbin Institute of Technology(New Series)》 EI CAS 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)
关键词 multi-sender AUTHENTICATION codes NONSINGULAR symmetric matrix EIGENVALUES EIGENVECTORS finite fields multi-sender authentication codes nonsingular symmetric matrix eigenvalues eigenvectors finite fields
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