Abstract: Presented is a method and system for improving the efficiency of network security protections communication protocols such as Secure Socket Layer (“SSL”) using enhanced Rivest-Shamir-Adleman (“RSA”) encryption and decryption techniques. During the establishment of the initial handshake of SSL communications, where a client is coupled to a server, the server generates a RSA public/private key pair. The public key is formed using two distinct prime numbers. By reducing the size of these prime numbers and arriving at the decrypted message using the Chinese Remainder Theorem, the efficiency of establishing a secure communications session is increased. Likewise if during generation of the public key, the prime numbers possess a mathematical relationship to the public key such that the prime numbers are on the order of a third of the size of the public key then the efficiency of establishing the initial handshake is again improved.

Abstract: A method and system for efficiently conducting secure communications in a commuter network are provided. Secure communications in a network are typically of the Secure Socket Layer (“SSL”) and Transport Layer Security (“TLS”) formats. These formats require the server to decrypt numerous encrypted messages at the cost of efficiency and speed. By combining the encrypted messages into a batch and utilizing a Rivest-Shamir-Adleman (“RSA”) batch decryption algorithm, the efficiency of the decryption is improved. Methods for improving this process include replacing the required number of divisions and inversion with more efficient multiplication operations. Further computation savings are realized by reducing the number of exponentiations and structuring the batches of encrypted messages to contain balanced exponents.