Visually Meaningful Image Encryption Scheme Based on DWT and Schur Decomposition

Table 1

The NIST test for the random sequence produced from the 3D chaotic system.

Statistical test	value			Result
	X	Y	Z
The frequency (monobit) test	0.2864	0.9156	0.0350	Pass
Frequency test within a block	0.0273	0.6979	0.2706	Pass
The runs’ test	0.4539	0.6818	0.9892	Pass
Tests for the longest run of ones in a block	0.1243	0.7489	0.0201	Pass
The discrete Fourier transform (spectral) test	0.6424	0.6845	0.9076	Pass
The nonoverlapping template matching test	0.1243	0.7489	0.0201	Pass
The overlapping template matching test	0.1500	0.2807	0.0509	Pass
Maurer’s “universal statistical” test	0.1706	0.7420	0.6638	Pass
The linear complexity test	0.8101	0.9978	0.4485	Pass
The serial test	0.1222	0.5990	0.0229	Pass
Cusums-forward	0.9313	0.3476	1.0000	Pass
Cusums-reverse	0.9925	0.2148	1.0000	Pass
The random excursions’ test	0.4862	0.7142	0.1338	Pass
The random excursions’ variant test	0.2863	0.9430	0.6506	Pass