提出一種基于被擾動(dòng)的Lorenz系統(tǒng)的加密算法。首先通過Legendre多項(xiàng)式對(duì)Lorenz系統(tǒng)中的系統(tǒng)參數(shù)b進(jìn)行擾動(dòng)，然后再利用Lorenz產(chǎn)生的隨機(jī)序列對(duì)原文信息進(jìn)行一系列的操作變換，使得加密的信息更加安全。通過擾動(dòng)有效的補(bǔ)償了計(jì)算機(jī)有限精度導(dǎo)致的混沌系統(tǒng)退化行為，經(jīng)對(duì)本算法的模擬實(shí)驗(yàn)及詳細(xì)性能分析，結(jié)果表明該加密算法能夠在保證加密速度的前提下，使得混沌序列隨機(jī)性、加密系統(tǒng)安全性等方面都優(yōu)于基于三維混沌密碼系統(tǒng)和基于聯(lián)合混沌加密系統(tǒng)。

　　Abstract:

　　In this paper， a chaotic encryption algorithm based on the disturbed Lorenz system is proposed. Firstly， the Lorenz system parameters b is disturbed by using the Legendre polynomial in order to compensate the degradation behavior of chaotic systems due to the computer’s finite precision， then the plaintexts are encrypted by using the pseudo-random sequence which are produced by the disturbed Lorenz system. As a result， the algorithm can effectively resist all known attacks and make information more secure. The proposed algorithm is described in detail， along with its security analysis and implementation. Theoretical analyses and computer simulations both confirm that the new algorithm possesses high security and fast encryption speed for practical information encryption.