A Novel Hypogenetic Chaotic Jerk System: Modeling, Circuit Implementation, and Its Application

Table 2

3D chaotic system PRNG NIST-800-22 test results.

Statistical tests	value (X ⊕ Y ⊕ Z)	value (Y ⊕ Z)	value (Z)	Result
Frequency (monobit) test	0.373465	0.017981	0.485177	Successful
Block-frequency test	0.932102	0.563486	0.720823	Successful
Cumulative-sum test	0.692331	0.029619	0.813864	Successful
Runs test	0.093974	0.417706	0.661739	Successful
Longest-run test	0.651016	0.544020	0.730122	Successful
Binary matrix rank test	0.489777	0.123925	0.328310	Successful
Discrete Fourier transform test	0.393422	0.291282	0.769023	Successful
Nonoverlapping template test	0.058054	0.045477	0.115145	Successful
Overlapping template test	0.245790	0.504454	0.546871	Successful
Maurer’s universal statistical test	0.550389	0.259675	0.138921	Successful
Approximate entropy test	0.173084	0.067221	0.503813	Successful
Random excursion test (x = −4)	0.617626	0.055541	0.042691	Successful
Random-excursion variant test (x = −9)	0.842508	0.227993	0.065864	Successful
Serial test-1	0.651632	0.454848	0.316808	Successful
Serial test-2	0.675012	0.598698	0.073441	Successful
Linear complexity test	0.073771	0.830488	0.259938	Successful