Using GM(1, 1) Meshsmooth Model to Construct Secure Network Communication System

Abstract

In this paper, we combined the public key cryptograph system proposed by Diffie and Hellman, with the infinite generation keys based on GM(1, 1) model , which in grey system theory, to establish the GM(1, 1) meshsmooth model to construct secure network communication system. The whole mathematics concept is used finite original code to create an infinite variables code sequence, and got the code from the known secrete key. In this paper, we define two parameters: cryptography sequence ψ and 3(superscript rd) order symmetric group S3 and presented six cryptography models to contribute our system. According to the implement of real case, the secrete value is high to O(The equation is abbreviated) for public system, and it is hard to calculate the code sequence by the present computing ability. Therefore, to break into this system by mathematical formula is no way nowadays. Besides, to promote the efficiency, we also develop a toolbox, it can not only to decrease the calculation time, but also examine the reliability of our system.