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

Table 2

The acceptance rates of SP800-22 statistical tests for the 100 binary sequences with length produced by the CPRNG proposed in this paper, the RC4 PRNG, the ZUC algorithm, and the CPRNG2, respectively. Here select a significance level .

Statistical test	Acceptance rate (%)
	CPRNG	RC4	ZUC	CPRNG2
(1) Frequency	100	98	100	100
(2) Block frequency	100	98	100	99
(3) Runs	100	98	100	100
(4) Long runs of ones	99	97	99	99
(5) Binary matrix rank	99	97	99	100
(6) Spectral DFT	100	98	99	97
(7) Nonoverlapping template	97–100	94–98	96–100	95–100
(8) The overlapping template	100	97	100	100
(9) Maurer s universal test	99	97	100	100
(10) Linear complexity	99	98	98	99
(11) Serial ( = 5, )	98	98	98	98
Serial ( = 5, )	97	96	99	100
(12) Approximate entropy	99	98	99	99
(13) Cumulative sums +1	99	98	98	100
Cumulative sums −1	100	98	98	100
(14) Random excursions	65–68	57-58	57-58	66–69
(15) Random excursions variant	66–68	56–58	56–58	68-69