Table 27 NIST analysis of image 1.

From: Multiple color images security by SPN over the residue classes of Gaussian integer \(\:Z{\left[i\right]}_{h}\)

Test		P–values of the cipher image			Results
Test		R. Layer	G. Layer	B. Layer	Results
Frequency		0.18413	0.94957	0.12904	\(\:\surd\:\)
Block frequency		0.43966	0.92375	0.094779	\(\:\surd\:\)
Rank		0.29191	0.29191	0.29191	\(\:\surd\:\)
Runs (M = 10,000)		0.48409	0.68105	0.14421	\(\:\surd\:\)
Long runs of ones		0.7127	0.7127	0.7127	\(\:\surd\:\)
Overlapping templates		0.85988	0.85988	0.85988	\(\:\surd\:\)
No overlapping templates		0.99999	1	0.99561	\(\:\surd\:\)
Spectral DFT		0.042221	0.1916	0.88464	\(\:\surd\:\)
Approximate entropy		0.59506	0.89043	0.24682	\(\:\surd\:\)
Universal		0.98578	0.98398	0.99423	\(\:\surd\:\)
Serial	p values 1	0.040439	0.95558	0.024368	\(\:\surd\:\)
Serial	p values 2	0.09157	0.91835	0.45038	\(\:\surd\:\)
Cumulative sums forward		0.33	0.24146	0.32465	\(\:\surd\:\)
Cumulative sums reverse		0.39016	0.94173	0.21328	\(\:\surd\:\)
Random excursions	X = -4	0.32828	0.38551	0.0027485	\(\:\surd\:\)
	X = -3	0.69647	0.010969	0.29092	\(\:\surd\:\)
	X = -2	0.094276	0.22808	0.043473	\(\:\surd\:\)
	X = -1	0.31768	0.67408	0.97609	\(\:\surd\:\)
	X = 1	0.8003	0.58412	0.57464	\(\:\surd\:\)
	X = 2	0.40535	0.62383	0.29547	\(\:\surd\:\)
	X = 3	0.50977	0.21083	0.28631	\(\:\surd\:\)
	X = 4	0.11164	0.053471	0.77903	\(\:\surd\:\)
Random excursions variants	X = -5	0.12505	0.15313	0.39083	\(\:\surd\:\)
	X = -4	0.27065	0.26834	0.2072	\(\:\surd\:\)
	X = -3	0.27238	0.38842	0.11464	\(\:\surd\:\)
	X = -2	0.18404	0.3223	0.16876	\(\:\surd\:\)
	X = -1	0.21977	0.35311	0.4456	\(\:\surd\:\)
	X = 1	0.70136	0.66824	0.56727	\(\:\surd\:\)
	X = 2	0.16984	0.40949	0.2956	\(\:\surd\:\)
	X = 3	0.069082	0.35425	0.30614	\(\:\surd\:\)
	X = 4	0.07229	0.38763	0.61389	\(\:\surd\:\)
	X = 5	0.091541	0.2531	0.4456	\(\:\surd\:\)

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