Design Of AES Algorithm Based On Two Dimensional Logistic And Chebyshev Chaotic Mapping

Chaotic system has fine cryptology characteristic property. The chaotic array has exceeding sensibility initial condition and system parameter, as well as the chaotic array long range evolves bearing fruit be not allowed to forecast the characteristic property. Meanwhile, the chaotic system has nice characteristic of secure communication such as randomness, the extreme sensitivity to the parameter and the initial value. Chaotic cryptology becomes an important research of modern cryptology forward position, and it has vastly developing a prospect.Nowadays, for the public cryptography algorithm (DES, AES, RSA, ECC etc.), the security of cryptography mostly depends on the security and randomness of the cipher key. In the information theory which was founded by Claude E.Shannon, he used strict mathematic methods to prove that: any cryptography, except dynamic key changing system, can be cracked in theory. So I bring forward kind of new AES chaotic encryption algorithm which cans changing the key, because of the traditional AES algorithm have disadvantage on the security.First this article introduces a few basic theories about AES algorithm, summarizes chaotic cryptology research current situation, chaotic mapping in common use and the theory and principle of chaos. Especially importantly it introduced some main factors that regarded with the security of the sequence cryptograph. We focus on the chaotic theory and AES algorithm, and develop an AES dynamic key changing system based on chaotic theory. A novel AES algorithm based on two dimensional Logistic mapping and Chebyshev mapping he is presented. The one chaotic mapping is the primary mapping; the other one is the secondary mapping which has the interferential function. We bring forward one kind of new chaotic encryption algorithm which combines the two dimensional logistic mapping and Chebyshev mapping. Our efforts as follow:1. We modify a new chaotic key method and combine this method and AES algorithm. The AES algorithm can change the dynamic key and be controlled by some keys.2. We analyses the extreme sensitivity to the parameter and the initial value, contrast the traditional AES algorithm and the improved AES algorithm.3. We analyses the chaotic key, security of the algorithm, space of key, the confusion character and the diffuse character.4. We implement a method based on the improved algorithm which can encrypt the data information.Through the theory analysis and experiments method, with the theory analysis and experiment way. I prove the improvement algorithm had distinct improvement in chaotic key randomness and the security aspect compared with the traditional algorithm. Achieves anticipated effect. Finally I improve the algorithm to apply in the digital document encryption. Designed take improved the algorithm as the foundation, the union digital image sets at chaotic technical digital document encryption algorithm.