摘要
提出两个新型混沌映射,并基于Devaney定义给出了严格混沌的理论特性证明。利用复合离散混沌系统的特性,提出基于两个新型混沌映射设计的复合离散混沌系统的序列密码算法,该映射产生的具有均匀分布函数量化后可生成具有平衡性质的0-1序列。复合离散混沌系统均匀的不变分布还使密文具有很好的随机特性,由于迭代对初始条件的敏感性和迭代函数选择的随机性,密钥、明文与密文之间形成了复杂而敏感的非线性关系,而且密文和明文的相关度也很小,可以有效地防止密文对密钥和明文信息的泄露。分析表明,该系统具有很高的安全性并扩大了密钥空间。
Chaos defined in general in quantitative characteristics is not a strict definition. In this paper two new chaos functions are proposed and theoretical proof about chaos is finished based on a strict Devaney definition. Using composite chaotic system character, a composite chaos sequences cipher algorithm is designed, the map of which has uniform distribution function, and can produce balance nature series to 0-1 after being quantified. The unchanged probability of composite chaos makes ciphertext have a good random. As the sensitivity to initial condition and random nature to iterative function choice, key and plaintext and ciphertext form complex and sensitive nonlinear relations, and the correlation is very small. The leaking of ciphertext to key and plaintext information can be effectively prevented. Experimental results show that the system has a very high safety and the key space is expanded.
出处
《计算机工程》
CAS
CSCD
北大核心
2008年第8期1-3,共3页
Computer Engineering
基金
山东省自然科学基金资助重点项目(Z2006G01)
关键词
混沌
复合非线性动力系统
加密算法
chaos
composite nonlinear dynamics system
encryption algorithm
