Research On Image Encryption Scheme Based On Memristor Neural Network Chaotic System

As an important carrier of information transmission,the security of image can not be ignored.However,because the image carrier has higher information redundancy than the text,while ensuring the security of the image encryption algorithm,the efficiency is also an important factor to evaluate the quality of the algorithm.In recent years,image decoding methods have become more and more developed,so the demand for more secure,effective and novel image encryption algorithms is becoming more and more urgent.The superb computing power of quantum computer also makes researchers aware of the great threat to the traditional encryption algorithm once it is popularized.Based on this realistic background,this paper studies and analyzes the existing chaotic image encryption and quantum image encryption algorithms,constructs a new chaotic system and designs a new image encryption algorithm.The specific work is as follows:(1)The characteristics of memristor and cellular neural network are studied.According to the characteristics of small low dimensional chaotic key space,a new3×3 memristor neural network system model is designed.By adjusting the parameters,the system is in a chaotic state and generates a three-dimensional chaotic attractor.The maximum Lyapunov exponent of the system is calculated and its chaos is proved.The sample entropy analysis is carried out on the initial sequence generated by the system.Aiming at the problems of poor randomness and uneven histogram distribution of the initial sequence,the differentiated data processing method of chaotic sequence is designed and improved.The sample entropy analysis is carried out again.It is concluded that the differentiated random sequence has higher randomness and security.(2)In this paper,the general operation including replacement and diffusion of the classical chaotic encryption algorithm is adjusted,the chaotic image encryption operation including replacement,shuffle and diffusion is designed,and a digital image encryption algorithm based on pixel codebook and matrix similar to magic cube is proposed.Pixel codebook and matrix similar to magic cube are new concepts proposed in this paper.They are constructed by chaotic sequence and used in the replacement and scrambling steps of image pixels respectively.The algorithm is simulated and theoretically analyzed,and compared with the existing algorithms,it is concluded that the algorithm has relatively high security.(3)Aiming at the shortcomings of low construction efficiency of matrix similar to magic cube and unable to encrypt large color block images in pixel codebook,a quantum image encryption algorithm based on transformation similar to magic cube is proposed in this paper.Transformation similar to magic cube is a new concept proposed in this paper.This algorithm introduces traditional encryption thinking into quantum image and deepens the direction of research on quantum encryption algorithm.The efficiency and security of the encryption algorithm are analyzed,and compared with the existing quantum image encryption algorithm and the digital image encryption algorithm proposed in this paper.It is concluded that the algorithm has relatively high encryption efficiency and high algorithm security.