改进的Tent映射及其动力学特性研究

Tent映射是一种分布较为均匀的离散映射,在混沌密码设计中获得了广泛的应用。但该映射参数和满映射范围都较小,从而影响了其密码序列的安全性和其它性能。设计了一个改进的Tent映射,对其动力学分析发现,改进的映射除保留了原映射的优点外,扩展了其参数范围和满映射区间,改善了序列的随机特性,增大了序列的密钥空间。

Modified Tent Map and Its Dynamic Characteristics

Tent map is a discrete map which has more uniform mapping space and was widely applied in chaotic cipher designs. However, the ranges of map parameters and onto map range for the map are both small, so as to affect the safety and other properties of its sequence. This paper presents a modified Tent map. Through its dynamic analysis, we found that the modified Tent map retains the advantages of the original map, extends the range of parameters and onto mapping interval, improves the random property of sequence and expands the key space of sequence.