One Construction of Multireceiver Authentication Codes from Pseudo-Symplectic Geometry over Finite Field

Xiuli Wang1, Yakun Hao1
1College of Science, Civil Aviation University of China, Tianjin, 300300, P.R.China.

Abstract

Multireceiver authentication codes allow one sender to construct an authenticated message for a group of receivers such that each receiver can verify the authenticity of the received message. In this paper, we construct one multireceiver authentication code from pseudo-symplectic geometry over finite fields. The parameters and the probabilities of deceptions of the codes are also computed. The smaller the probability of successful attack, the higher the security of the authentication codes.

Keywords: Pseudo-symplectic geometry, Multireceiver authentication codes, Finite fields