Design of Key Space Based on CPRS Algorithm

Abstract

Designing the key space based on the initial value xi, system parameter ui and coupling coefficient εi (i=1, 2... m, m is the dimension of hyperchaotic system). By theoretical analysis and practical test, the sensitivity of initial value xi is 10-16, the sensitivity of coupling coefficient εi is 10-15, the sensitivity of system parameter ui is 10-13, so the initial value and coupling coefficient are used as the parameters of designing the key space and the total number of the key space in one-dimensional system is 1031. Each node has different initial values and coupling coefficients in m-dimensional CPRS hyperchaotic system, so the total number of key space in m-dimensional system is 10 31*m. The design consists of an "S_Box" algorithm and two different valuing algorithms. The "S_Box" algorithm adopts BKDRHash function due to the Hash function which has minor conflict and make the value distribution uniform in the "S_Box" and two different valuing algorithms obtain the initial value and coupling coefficient desired in the encryption system. The experimental results show that the three algorithms obtaining the values is well distributed and improve the performance of anti-cracking. The Passwords that users input map into different parameters through the key space by which CPRS hyperchaotic system transmitting terminal encrypts and the receiving terminal can be decrypted successfully using the same parameters.