Construction of Authentication Codes with Arbitration from Singular Symplectic Geometry

Hongli Wang1
1Mathematics and Informetion Science Department, Tangshan Normal University, Tangshan, Hebei, 063000, China

Abstract

A construction of authentication codes with arbitration from singular symplectic geometry over finite fields is given, and the parameters of the codes are computed. Assuming that the encoding rules of the transmitter and the receiver are chosen according to a uniform probability distribution, the probabilities of success for different types of deceptions are also computed.