基于污染二维混沌动力系统的加密算法

Encryption algorithm based on contaminated two-dimensional chaotic dynamic system

首先定义了污染动力系统,将二维Henon动力系统用二维Logistic动力系统进行污染,用这个污染的二维混沌动力系统构造序列密码体系.这种算法可以产生两列密钥,从而有效地解决了输出结果对密钥低bit位变化敏感度较低的问题.计算机模拟实验和游程测试、相关性分析、灵敏度分析、平衡度检验等安全实验分析结果表明,密文、明文和密钥之间具有高度的非线性和敏感性,算法的密钥空间巨大,可以有效防止统计攻击、唯密文攻击和穷举攻击.

An algorithm to construct a stream cipher system is presented by defining a contaminated dynamic system, in which the two-dimensional Henon dynamic system is contaminated by the two- dimensional Logistic dynamic system. By generating two columns of keys, this algorithm can effectively solve the problem that the output is not very sensitive to the change of the low bit of the input. The results of safety tests, such as computer simulation, runs test, correlation analysis, sensitivity analysis and balance test, etc. show the highly nonlinearity and sensitivity among ciphertext, plaintext and the key. Also the large key space of this algorithm can effectively prevent the statistical attacks, ciphertext only attacks and exhaustive attacks.