摘要
有限精度问题降低了混沌映射序列的密码学和统计特性,且对那些与Tent映射拓扑共轭的映射产生的序列更可通过预测的方法精确重建。本文讨论了混沌映射的拓扑共轭变换及其性质,导出了Tent、Logistic和二阶Chebyshev映射的共轭关系,并针对这种攻击提出了一种混沌序列的产生方法可有效地抵抗这种攻击。
The problem of finite precision degrades the cyptologic and statistical properties of chaotic maps, and sequences generated from maps conjugated with Tent map can be reconstructed precisely by short-sequence-prediction. This paper discusses topological conjugation of chaotic maps and its properties, derives the conjugate relation between Tent, logistic and 2nd-order Chebyshev maps. A method is given to produce chaotic sequences which can sustain this predictive attack.
基金
国家自然科学基金(No.69735101)
江苏省自然科学基金(No.BK97011)
