The Construction Of Symplectic Involution Over Finite Fields With CharF=2 And Its Application

In the present paper,we discuss the construction of symplectic involuttion over finite fields with charF=2.At the same time,one Cartesian authentication codes is obtained and also its size parameters are computed completely. Moreover assume that the coding rules are chosen accoding to a uniform probability distribution,the P_I and P_S,which denote the largest probabilities of a successfull impersionation attack and of a successfull substitution attack respectively of the code are also computed.