Table 3.

ENT statistical test results for two 80 million bits sequences generated by the proposed Chebyshev polynomial based pseudorandom bit generator and Duffing map based pseudorandom bit generator, respectively.

ENT statistical test	Chebyshev PRBG results	Duffing PRBG results
Entropy	7.999999 bits per byte	7.999999 bits per byte
Optimum compression	OC would reduce the size of this 125000000 byte file by 0%	OC would reduce the size of this 125000000 byte file by 0%
χ 2 distribution	For 125000000 samples it is 222.98 and randomly would exceed this value 92.68% of the time	For 125000000 samples it is 228.17 and randomly would exceed this value 88.54% of the time
Arithmetic mean value	127.49810 (127.5 = random)	127.5050 (127.5 = random)
Monte Carlo π estimation	3.142062386 (error 0.01%)	3.140968178 (error 0.02%)
Serial correlation coefficient	−0.000026 (totally uncorrelated = 0.0)	0.000018 (totally uncorrelated = 0.0)