基于可变参数的混沌动力系统的序列密码体系

Chaotic dynamical systems with changeable-parameter and stream cipher systems

首先研究了一个混沌动力系统的统计性质,然后研究了将该动力系统进行平移变换后得到的一类新的混沌动力系统的统计性质,得到这两类动力系统具有相同的不变测度和均值,关于Lebesgue测度都是遍历的结论.还进一步给出了经平移变换后所得到的新的动力系统的相关函数的计算公式.最后利用带有平移参数的混沌动力系统给出序列密码加密与解密的算法,并进一步对算法进行了仿真实验和安全性分析,结果表明该算法加密效果良好,密钥、明文与密文之间关系均十分敏感,而且密文和明文的相关度也很小,具有很大的密钥空间和均匀分布的密文,可以有效地抵御统计分析,防止密文对密钥和明文信息的泄露,使系统具有很高的安全性.

In this paper,we firstly study the statistical properties of a chaotic dynamical system and obtain a new chaotic dynamical system which is formed after translation transform and the new statistical properties of the new chaotic dynamical system have been done.The two dynamical systems have the same invariant measure and mean value,and the conclusion of Lebesgue Measure is traversing.We further give the formula of the correlation function of the new chaotic dynamical system and derive the encryption and decryption arithmetic of the stream cipher in the chaotic dynamical systems with changeable-parameter.After the simulation experiment and the safety analysis to the algorithm,the results show that the algorithm has good effect to the encryption and the relationship between the key,ciphertext and plaintext is sensitive and the correlation degree between ciphertext and plaintext is very small.It can availably resist statistical analysis and prevent the disclosure of the key and the plaintext information from the ciphertext.This algorithm has larger secret space and uniform distributing ciphertext which provides a higher security of the system.