Performance Evolution of RSA and New Cryptosystem

One of the advanced cryptographic scheme for generating public key and private key. These are more significant in developed cryptography system. This paper generates a new cryptosystem of Jordon-Totient function and applied them to RSA public key cryptosystem with public key and private key which can be used for development of protocols to provide secured communication between different company authorities and customers. This new RSA cryptosystem (SA_RSA) will be fast encrypted & decrypted as compare to RSA .If we increase the size of private key it avoids the attacks on private key. It gives a high security as compare to RSA. We showed the graphical performance analysis on test results for key generation time, encryption time and decryption time respectively.