Using Generalized Symplectic Involutory Matrices Over Finite Fields To Construct Cartesian Authentication Codes

In this paper,one construction of Cartesian authentication codes from generalized symplectic involutory matrices over finite fields with char F≠2 is presented and its size parameters are computed.Moreover,assume that the encoding rules are chosen according to uniform probability distribution,the P_I and P_S,which denote the largest probabilities of a successful impersonation attack and a successful substitution attack respectively,of these codes are also computed.