Abstract: This paper uses chaos anti-control idea to generate a hyper-chaotic system, and uses the pseudo-random feature of hyper-chaotic system to design a stream cipher. The nonlinear state feedback is added to a Discrete Linear Time Invariant(DLTI) system and the hyper-chaotic system is constructed. The existence of feedback gain matrix is proved and the constraint condition between and coefficient matrix is given. A stream cipher algorithm based on a 3D hyper-chaotic system is designed. Simulation results indicate that the stream cipher has favorable statistic characteristics.

Key words: chaos anti-control, hyper-chaotic system, stream cipher, threshold handling

摘要： 应用混沌反控制思想产生超混沌，根据超混沌系统的伪随机特性进行流密码设计。通过对离散线性时不变系统施加非线性状态反馈控制构造一个超混沌发生系统。证明了反馈增益矩阵的存在性，给出选择增益矩阵及系数矩阵元素的约束关系，在此基础上设计基于三维超混沌系统的流密码算法。仿真结果表明该算法具有良好的统计特性。

关键词: 混沌反控制, 超混沌系统, 流密码, 阈值处理

CLC Number: 

• TP301