Abstract: In order to get binary sequences, which are random and sensitive to the initial values, this paper presents an approach of generating extended chaotic sequences based on Bernstein function and interpolation method. Simulation results show that the sequences generated by this approach have good pseudo-randomicity. With nonlinear dispersion of one-dimension and two-dimension, the process of dispersion becomes safer. The application of the sequences in image encryption is presented. The algorithm has good efficiency in image encryption.

Key words: chaotic systems, binary sequences, nonlinear dispersion, Bernstein function, image encryption

摘要： 为了得到具有良好随机性和初值敏感性的二值序列，在已有的混沌系统的基础上，利用Bernstein函数，给出了一种基于插值方法构造的广义混沌序列产生方法。实验结果表明，生成的广义混沌序列具有很好的伪随机特性。通过对一维和二维广义混沌序列的非线性离散化处理，有效提高了离散化过程的安全性。给出了生成的二值序列在图像加密算法中的应用，该算法对图像加密效果良好。

关键词: 混沌系统, 二值序列, 非线性离散化, Bernstein函数, 图像加密

CLC Number: 

• TP311.56