A Dynamic Image Encryption Scheme Based on Quantum Walk and Chaos-Induced DNA

Table 8

Chaos sequence and randomness of encrypted images.

Statistical	Chaos sequence	Encrypted image	Results
The monobit test	0.860756	0.689611	Pass
The frequency within the block test	0.401163	0.990926	Pass
The runs test	0.600514	0.946440	Pass
The longest run ones in a block test	0.480094	0.893439	Pass
The binary matrix rank test	0.214521	0.345263	Pass
The discrete Fourier transform test	0.546087	0.248709	Pass
The nonoverlapping template matching test	0.095765	0.182840	Pass
The overlapping template matching test	0.304126	0.354126	Pass
The maurer’s universal test	0.275141	0.543087	Pass
The linear complexity test	0.363908	0.627588	Pass
The serial test	0.764028	0.807876	Pass
The approximate entropy test	0.960277	0.718097	Pass
The cumulative sums test	0.191262	0.883478	Pass
The random excursion test	0.246383	0.215611	Pass
The random excursion variant test	0.220671	0.150435	Pass