Securing RGB Image Using an Algorithm Based on the Pickover 3D Attractors System and Rearrangement by Block

Endowed with the great and rapid capacity of destroying the correlation between the pixels of an image, the new encryption scheme is essentially based on the domain of Chaostheory of the last decades. The present article suggests a new robust design of RGB image encryption based on Pickover 3D Attractors with mix transformation. Three different chaotic vectors are generated by the AP3D. Each of them is used to modify the pixel values of the channels (red, green, blue), this new scheme continues two cycles of diffusion and confusion operation. The first process is performed using trio (pixel of AP3D, pixel of the original image, and the result of the preceding pixel) where each pixel of position (i) of the stream that contains the source image is replaced by the sum of the value of the latter and the value of index (i) of the vector generated by AP3D and the result of the pixel which has previously encrypted position \((i-1)\) . Then, the completed design by a permutation operation thanks to a rearrangement by block, the first block of which is substituted by the values of index 0 modulo \(\sigma \) of the vector resulting from the previous phase, and the same processing is repeated for the three other blocks but this time the pixels which are respectively permuted by the pixels of indices 1 modulo \(\sigma ,\) 2 modulo \(\sigma \) and 3 modulo \(\sigma \) . Finally, we provide experimental results and simulations established on differential attacks, correlation between pixels, and entropy to ensure the confidentiality and validity of this new approach.