Gray code permutation algorithm for high-dimensional data encryption

We present a novel permutation algorithm for fast encryption of a large amount of data, such as 3D images and real-time videos. The proposed P-Box algorithm takes advantage of Gray code properties and allows fast encryption with high information diffusion. The algorithm is optimized for integer q  -bit operations (q=8,16,32,…q=8,16,32,…), allowing a direct implementation in almost any hardware platform, while avoiding rounding errors of floating-point operations. By combining the P-Box with chaotic S-Box based on the logistic map, we design a complete, highly secure and fast cryptosystem.