“…Diffusion is to adjust the pixel value of the image, cover the statistical properties of plain-image into the cipher-image, and implement the even distribution of pixels. A wealth of image encryption algorithms (IEAs) has recently been designed based on numerous technologies, such as substitution box [8][9][10][11], Josephus traversal [12,13], hash functions [14][15][16][17][18], DNA sequence operation [19][20][21], fractal theory [22], compression sensing [23,24], deep learning [25,26] and chaos theory [27][28][29][30][31][32]. Among those different tools, the IEA using chaos theory has been proved their enormous achievement due to the suitable properties of chaotic system (CS) for cryptography, such as the pseudo-randomness of dynamic systems, the non-periodicity of motion trajectories and the sensitivity to initial conditions.…”