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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 ,说明序列是安全的
The finite precision problem reduces the statistical properties of the chaotic map sequences so that the sequences generated by the maps with topological conjugations of tent maps can be accurately reconstructed by short sequence prediction methods. The topological conjugate transformations between chaotic maps and their properties are discussed in detail The reconstruction process of chaotic sequences and the security of over-sampled chaotic map (OSCM) binary sequences are analyzed.The results show that OSCM binary sequences can resist short sequence prediction attacks, that is, they can not be reconstructed, and all the attacks on synchronization-based chaotic systems The strategy is invalid here, indicating that the sequence is safe