Study of a New Chaotic Dynamical System and Its Usage in a Novel Pseudorandom Bit Generator

Table 1

Results of 𝑓_𝑝’s ergodicity property testing.

Experiment iteration(s)	Parameter value	KS test value	Test result
1–49	—	∈ [0.93, 0.97]	PASSED
50	2.805107703154233	0.956	PASSED
51–99	—	∈ [0.93, 0.97]	PASSED
100	4.342554676193408	0.950	PASSED
101–149	—	∈ [0.93, 0.97]	PASSED
150	5.352537126362448	0.950	PASSED
151–199	—	∈ [0.93, 0.97]	PASSED
200	5.930260965351542	0.966	PASSED
201–249	—	∈ [0.93, 0.97]	PASSED
250	6.547089923300568	0.940	PASSED
251–299	—	∈ [0.93, 0.97]	PASSED
300	7.300182966818144	0.966	PASSED
301–349	—	∈ [0.93, 0.97]	PASSED
350	7.710976298365504	0.960	PASSED
351–399	—	∈ [0.93, 0.97]	PASSED
400	8.299998361920006	0.950	PASSED
401–449	—	∈ [0.93, 0.97]	PASSED
450	9.127429903281719	0.964	PASSED
451–499	—	∈ [0.93, 0.97]	PASSED
500	9.858890151572155	0.952	PASSED