Novel Image Encryption Scheme Based on Chebyshev Polynomial and Duffing Map

Table 2

DIEHARD 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.

DIEHARD statistical test	Chebyshev PRBG	Duffing PRBG
	𝑃-value	𝑃-value
Birthday spacings	0.377207	0.640772
Overlapping 5-permutation	0.410588	0.051538
Binary rank (31×31)	0.551701	0.900609
Binary rank (32×32)	0.940609	0.604265
Binary rank (6×8)	0.530332	0.504383
Bit stream	0.428729	0.461876
OPSO	0.493583	0.498226
OQSO	0.582980	0.478843
DNA	0.632916	0.505181
Stream count-the-ones	0.759561	0.853126
Byte count-the-ones	0.605761	0.479987
Parking lot	0.425621	0.412316
Minimum distance	0.522822	0.486276
3D spheres	0.468043	0.414503
Squeeze	0.236035	0.416625
Overlapping sums	0.543661	0.439732
Runs up	0.234988	0.775408
Runs down	0.527703	0.679825
Craps	0.128550	0.423157