Design of an Improved RSA Cryptosystem Based on Synchronization of Discrete Chaotic Systems

An improved RSA cryptosystem based on chaotic synchronization is newly presented in this paper. First, the design of a discrete sliding mode controller (DSMC) is proposed to make the master and slave chaotic systems synchronized, then a modified RSA encryption algorithm is proposed. In the traditional RSA cryptosystem, the public key needs to be open or transmitted in the public channel which provides an opportunity to attack. In this design, the public key is hidden and does not appear in public channels. Therefore, not only RSA's security features can be retained, but also can significantly promote the security of traditional RSA cryptosystem.