Title: Research on the quantifications of chaotic random number generators

Authors: Yan-bin Zheng; Jing Pan; Yu Song; Hai Cheng; Qun Ding

Addresses: Key Laboratory of Electronic Engineering, Heilongjiang University, Harbin 150080, China ' Key Laboratory of Electronic Engineering, Heilongjiang University, Harbin 150080, China ' Key Laboratory of Electronic Engineering, Heilongjiang University, Harbin 150080, China ' Key Laboratory of Electronic Engineering, Heilongjiang University, Harbin 150080, China ' Key Laboratory of Electronic Engineering, Heilongjiang University, Harbin 150080, China

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.

Keywords: chaotic binary sequences; quantification; chaotic random number generators; local period phenomenon; simulation.

DOI: 10.1504/IJSNET.2014.059991

International Journal of Sensor Networks, 2014 Vol.15 No.1, pp.32 - 39

Received: 04 Sep 2013
Accepted: 09 Sep 2013

Published online: 23 Mar 2014 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article