Research on the quantifications of chaotic random number generators

It has been proved that Local-Period phenomena widely exist in any chaotic binary sequence. Among the reasons of Local-Period phenomena existing, quantifications of chaotic binary random number generators are the key factor. This paper proposed that different quantifications could make sequences have different randomness from the same chaotic realvalue sequence. The simulation results illustrated that the sequences from the same Logistic real-value sequence through different quantifications, such as L-bits quantification, C-threshold quantification and Region quantification, located different Local-Period phenomena by BSPD detecting method. Moreover, statistical data inferred that C-threshold quantification has less effect on the randomness of original chaotic realvalue sequence.