The authentication technique, which uses public key cryptographic algorithms, proves itself by generating authentication value through secret keys and gives verification by means of public keys .This paper is believed to 1) solve the problem of distribution and management of secret keys, which still remain the problem of authentication used in symmetric cryptographic algorithm. 2) provide the method to receive a certificate of handling the problems of public key lists through the authentication authority. and finally 3) suggest an algorithm which will enable us to run the public keys more effectively.