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Analysis of the effects of scrambling and diffusion of logistic chaotic map on image encryption

The image encryption algorithm based on chaotic system has been widely used at present. For this kind of algorithm, the encryption mechanism of "scrambling - diffusion" and multiple iterations are mainly adopted. In this paper, the common one-dimensional logistic chaotic mapping is taken as an example to analyze the influence of "scrambling - diffusion" and the number of iterations on the encryption effect. The simulation results show that, when only the chaotic system is used to complete the encryption operation, except for the key space, the contribution of "scrambling - diffusion" and single diffusion operation to the image encryption effect is basically the same, and the number of iterations has no significant effect on the encryption. When a "scrambling - diffusion" mechanism and multiple iterations are employed, the encryption effect may be enhanced by combining other cryptographic operations.