A fast image encryption algorithm based on chaotic map
Abstract Derived from Sine map and iterative chaotic map with infinite collapse (ICMIC) a new two dimensional Sine ICMIC modulation map (2D SIMM) is proposed based on a close loop modulation coupling (CMC) model, and its chaotic performance is analyzed by means of phase diagram, Lyapunov exponent spectrum and complexity. It shows that this map has good ergodicity, hyperchaotic behavior, large maximum Lyapunov exponent and high complexity. Based on this map, a fast image encryption algorithm is proposed. In this algorithm, the confusion and diffusion processes are combined for one stage. Chaotic shift transform (CST) is proposed to efficiently change the image pixel positions, and the row and column substitutions are applied to scramble the pixel values simultaneously. The simulation and analysis results show that this algorithm has high security, low time complexity, and the abilities of resisting statistical analysis, differential, brute force, known plaintext and chosen plaintext attacks.