Chaos-based Pseudo-random Number Generator Research

With the rapid development of computer technology,the security problems in information are becoming more and more obvious.Since the discovery of chaos,it has become an important topic for scientists to study.The pseudo-random sequence generated by the design of pseudo-random number generator is of great use in computer simulation,information security and other fields.In this paper,the pseudo-random number generator based on chaos is studied as the main object,and the dynamic characteristics of chaos,the design of pseudo-random number generator and its security analysis are analyzed.The main research contents are as follows:(1)The background and significance of the study of pseudo-random number generator based on chaos,the present research situation and the related theoretical knowledge are described.A pseudo-random number generator based on Lorenz chaotic system with cubic term is designed,and its dynamic characteristics of its chaotic system are analyzed and the circuit is designed.The binary chaotic sequence is generated by skew tent mapping in data processing,and the sequence generated by Lorenz chaotic system with cubic term is selected to design a pseudo-random number generator.The chaotic pseudo-random sequence is analyzed by combining theoretical analysis and computer simulation experiments.It is proved that the output pseudo-random sequence has good random characteristics and ideal correlation performance.(2)By changing the Chua's nonlinear term,the transformed Chua's chaotic system is obtained,and its dynamic characteristics are analyzed and its circuit is designed.The pseudo-random number generator is designed by doing a series of processing on the basis of the sequence generated by the modified Chua's chaotic system.The final pseudo-random sequence is obtained by XOR operation.By analyzing the characteristics of the pseudo-random sequence,it is proved that the obtained pseudo-random sequence has good correlation characteristics and randomness.(3)Based on the pseudo-random sequence generated by the pseudo-random number generator designed above,the common scrambling algorithm and diffusion algorithm are selected for image encryption,after a series of performance analysis,it is proved that these pseudo-random sequences generated in the encryption process have a certain encryption effect.