Analysis of the Time Series Generated by a New High-Dimensional Discrete Chaotic System

Table 5

Randomness test of by NIST SP800.

Test	8		16		32
	value	Ratio	value	Ratio	value	Ratio
Frequency	0.779188	98/96	0.897763	99/96	0.055361	99/96
Block frequency	0.213309	99/96	0.350485	100/96	0.012650	99/96
Cumulative sums	0.494392	99/96	0.739918	98/96	0.798139	98/96
Runs	0.045675	97/96	0.494392	99/96	0.897763	98/96
Longest run	0.419021	100/96	0.181557	99/96	0.816537	99/96
Rank	0.037566	98/96	0.366918	99/96	0.924076	100/96
FFT	0.964295	98/96	0.554420	98/96	0.657933	98/96
Nonoverlapping template	0.037566	98/96	0.019188	99/96	0.004981	98/96
Overlapping template	0.455937	99/96	0.334538	97/96	0.574903	100/96
Universal	0.224821	99/96	0.574903	100/96	0.867692	99/96
Approximate entropy	0.935716	97/96	0.437274	99/96	0.867692	99/96
Random excursions	0.063958	76/73	0.197677	72/70	0.076389	69/67
Random excursions variant	0.036868	74/73	0.000854	74/70	0.063958	70/67
Serial	0.798139	98/96	0.494392	98/96	0.437274	99/96
Linear complexity	0.494392	99/96	0.350485	99/196	0.304126	95/96

The asterisk “” in Table 5 indicate that the corresponding test failed.