摘要

An image encryption system combining quantum chaos with folding algorithm was proposed. The main idea of the proposed algorithm is to make Arnold transform through quantum chaos map and 2D Logistic map respectively, to generate the matrix Q and the matrix E, and the two matrices were made of pseudo random numbers and identical to grayscale image. Then, such matrices were used for two operations on the image and to achieve image encryption, as follows: one was to achieve “folding operation”on image at four directions by application of matrix Q and another was to execute nonequivalence of the former pixel value and present pixel value, plus the values after nonequivalence with E corresponding value, so the modification of present pixel value was obtained and the effect of image diffusion was realized and the difficulty of the differential attack was increased. Simulation analysis on tested image was conducted by application of MATLAB and the results show that for images encrypted by such encryption system, the correlations of pixel value at horizontal, vertical and diagonal directions are 0.001 006, 0.000 152 and 0.000 789 respectively, with entropy H(s)=7.997 3. The results of a series of tests show that the proposed encryption system has highly security and randomness.

全文