Image Encryption Technology Based On High-Dimensional Chaotic Map

With the popularity of the Internet and the improvement of computer operations and the substantial increase in processing performance, the 21st century is the information age and information has become the most important commodity in nowadays. Information dissemination is quicker than before, and at the same time, the issue of information security has become increasingly prominent, because the traditional encryption technology can't keep up the development pace of Internet information. Chaotic encryption as a safe and efficient encryption technology has a range of good characteristics, such as sensitive dependence on initial conditions, ergodicity, topological transitivity. It consistent with the requirements of cryptography and can be used in encryption area. With the understanding of chaos, chaos theory and cryptography to form the chaotic cryptography has become one of the most important areas in cryptography research.Image information, as a kind of information, has the characteristics of huge amount of data, high correlation of neighboring pixels. The performance of encryption algorithm is required very strict. However, Chaos-based image encryption algorithm has a great advantage than the traditional encryption algorithms such as DES, AES, etc.However, with the more and more research in recent years, some low dimensional chaotic maps have been widely analyzed. And the chaotic sequence generated by chaotic maps is cut down owe to the finite precision effect of computer, and not well reflect the characteristics of their non-cyclical. Some chaotic maps are even cracked and not suitable for image encryption. Therefore, a new chaotic map based on topological conjugation ideas and Devaney chaotic definition is designed, and a detailed derivation of the proof is given in this paper.With the combination of two-dimensional Henon chaotic map, an image encryption based on high-dimensional chaotic map is proposed. Because of the periodic defect problems of Cat map, an algorithm based on Separated Cat map of dynamic variable parameters is proposed for the image confusion phase."Confusion - diffusion" encryption structure is utilized in the image encryption algorithm. Pseudo-random sequence generated by the high-dimensional chaotic map has passed the random and pseudo-random sequence of SP800-22 test standard, which is provided by National Institute of Standards and Technology (NIST) and DIEHARD test which provided by Dr. Marsaglia. The proposed algorithm has the features of quick encryption and decryption speed, high security, and is helpful to the chaotic image encryption research.