Algorithm Research Based On Mixed Encrypted System Of RSA And AES

With the rapid development of internet in the world, information securityhas been paid to more and more attention. The research and application oncryptology is the core of the information security.RSA cryptology is an outstanding representative in public-key system.Thanks to functions of encryption, identification, signature and so on, it ishaving been attached importance to by increasing researchers and organizations;AES is regarded as the advanced data encryption standard of 21st century,which has been considered as a widely used problem. It has great actualsignificance to research such two algorithms in the article. Several aspects wereprobed into as follows.Firstly,on the basis of analyzing the status quo of cryptography, RSA andAES which are widely used were selected in this dissertation, and the emphasiswas placed on conserving big integers, generating secret keys, improving RSAalgorithm and designing cryptosystem. After researching into modularmulti-exponentiation operation, principle of primes generating, traditional BRalgorithm and Lehamann algorithm, the fast RSA algorithm and the fast secretkeys generating algorithms were presented.Secondly, compared with advanced Miller-Rabin algorithm, the advantageof generating big primes was validated by test data. It provided pivotaltechnology for faster and more popular cryptography.Afterwards, the idea of mixed dynamic RSA algorithm, which combinedwith SMM and 2k algorithm, was brought forward. Its software design, dataorganization and structure description were finished. Furthermore, it wasshown that the speed of encryption and decryption has been improved throughexperiment.Finally,after the basic theory of secret keys transmission and exchangewas deeply studied, the idea of secret keys exchange with secrecy andidentification was adopted.A new way was introduced to cryptography through this thesis. Themethod is sterling fast encryption. The modular multi-exponentiation operation,secret keys generating algorithms and the amelioration of secret keys exchangealgorithms, have great effect on cryptography technique for other fields in thethesis.