A Generalized Stability Theorem for Discrete-Time Nonautonomous Chaos System with Applications

Table 1

The calculated mean -values of SP800-22 statistical tests for the 100 binary sequences with length 10⁶ produced by the CPRNG proposed in this paper, the RC4 PRNG, the ZUC algorithm and the CPRNG2, respectively. Select a significance level .

Statistical Test	Mean -value
	CPRNG	RC4	ZUC	CPRNG2
(1) Frequency	0.5254	0.49598	0.46669	0.51593
(2) Block Frequency	0.4764	0.47781	0.48780	0.47206
(3) Runs	0.5667	0.46958	0.45937	0.50736
(4) Long Runs of Ones	0.5144	0.53504	0.45351	0.55381
(5) Binary Matrix Rank	0.5020	0.50302	0.47611	0.49911
(6) Spectral DFT	0.5219	0.47094	0.50207	0.49296
(7) Non-overlapping Template	0.5037	0.49385	0.50045	0.50023
(8) The Overlapping Template	0.4812	0.50478	0.46822	0.49787
(9) Maurer s Universal Test	0.5084	0.4878	0.45006	0.50524
(10) Linear Complexity	0.5150	0.51639	0.46828	0.52894
(11) Serial ( = 5, )	0.4721	0.47546	0.4837	0.50094
Serial ( = 5, )	0.4726	0.48377	0.50556	0.55179
(12) Approximate Entropy	0.5158	0.48344	0.45022	0.53289
(13) Cumulative Sums +1	0.5133	0.45873	0.46031	0.47830
Cumulative Sums −1	0.5040	0.47298	0.47543	0.50262
(14) Random Excursions	0.3481	0.31615	0.29159	0.35605
(15) Random Excursions Variant	0.3367	0.30332	0.29350	0.34412