Research on the quantifications of chaotic random number generators

Abstract

It has been proved that Local-Period phenomena widely exist in any chaotic binary sequences. Among the reasons of Local-Period phenomena, the quantifications of chaotic binary random number generators are the key factors. This paper proposed that different quantifications could make the generated sequences from the same chaotic real value sequence appear different randomness. Moreover, the simulation results illustrated that for the same logistic real value sequence quantified by different quantifications, such as L-bits quantification, C-threshold quantification and Region quantification, Local-Period phenomena are located in different places by binary sequence period detection BSPD detecting method. Meanwhile, statistical data inferred that C-threshold quantification has less effect on the randomness of original chaotic real value sequence.