摘要
Some chaotic sequences generated from maps conjugated with tent map can be reconstructed precisely by short sequence prediction,since the problem of finite precision degrades the statistical properties of chaotic maps.This paper discusses the topological conjugation properties of the chaotic maps;analyzes in detail the reconstruction process of the chaotic sequences and the security of the oversampled chaotic map (OSCM) binary sequences.The result demonstrates that OSCM binary sequences can sustain the attack of the short sequence prediction,that is,they cant be reconstructed.Furthermore,all attack strategies aiming at the chaotic systems based on synchronization will fail,meaning that they are secure.
有限精度问题降低了混沌映射序列的统计特性 ,使得那些 tent映射存在拓扑共轭关系的映射产生的序列可通过短序列预测的方法精确重建 .讨论了混沌映射间的拓扑共轭变换及性质 ,详尽分析了混沌序列的重建过程及过取样混沌映射 (OSCM)二进制序列的安全性 .结果表明 OSCM二进制序列能抵抗短序列预测攻击 ,即它们不可能被重建 ,而且所有针对基于同步的混沌系统的攻击策略在此均无效 。
