Theorem to Generate Independently and Uniformly Distributed Chaotic Key Stream via Topologically Conjugated Maps of Tent Map

Table 3

SP800-22 test’s results.

Test	𝑃 value	Results
Frequency (monobit) test	0.4156	Random
Frequency test within a block	0.7311	Random
Runs test	0.5957	Random
Test for the longest run of ones in a block	0.7238	Random
Binary matrix rank test	0.9087	Random
Discrete fourier transform test	0.4573	Random
Nonoverlapping template matching test	0.4903 (mean)	Random
Overlapping template matching test	0.0173	Random
Maurer’s “universal statistical” test	0.8827	Random
Linear complexity test	0.6231	Random
Serial test	0.7478 (mean)	Random
Approximate entropy test	0.0921	Random
Cumulative sums test	0.5617 (mean)	Random
Random excursions test	0.2387 (mean)	Random
Random excursions variant test	0.4487 (mean)	Random