利用泛化洛伦茨方程进行消息加密和密钥分发

摘要

为研究对称密钥技术在混沌密码学中的应用,引入一种通用版本的泛化洛伦茨方程,其将密钥矩阵映射到二进制密钥矩阵以表示二进制密钥,使得密钥的长度比明文的长度要短得多.BB84协议主要用于Alice和Bob之间的密钥矩阵交换;通过混沌信号X对一个消息进行掩盖,在经典数据通信信道上将消息从Alice发送至Bob;利用对精确重现的混沌信号进行消除,完成密文的解密.密钥空间的规模可达2N-1(N≥100).数值实验验证了该方法的加密可行性,密码分析结果表明,所提方法足以抵御窃听者(Eve)通过蛮力攻击、滤波和混沌同步进行的密码破解.%To study the application of symmetric key technology in chaotic cryptography,a generic version of generalized Lorenz equation was introduced,by which the key matrix was mapped to the binary key matrix representing the binary key,so that the length of the key was much shorter than the length of the plain text.BB84 protocol was mainly used for the key matrix exchanging between Alice and Bob.Message was transmitted from Alice to Bob in the classic data communication channel by masking the chaotic signal X.To complete the decryption of the encrypted message,the chaotic signal was eliminated.The key space size could reach 2N-1 (N≥100).The feasibility of the proposed method was verified by numerical experiments.Cryptanalysis shows that the proposed method is sufficient to resist the password cracking of Eavesdropper (Eve) using brute force,filtering and chaotic synchronization.