A simple color image encryption algorithm based on a discrete memristive hyperchaotic map and time-controllable operation

Chaotic maps are widely used in image encryption due to their characteristics, but many chaotic maps have the weakness of narrow and discontinuous chaotic range. To solve the problem, a new chaotic map, is constructed by combining the modular sinusoidal discrete memristor and classical sine map. An image encryption algorithm is designed based on the proposed chaotic map, and it can control the time by adjusting the block size. The proposed encryption algorithm consists of two parts: random-cross permutation and alternate-plane diffusion. Random-cross permutation shuffles the pixels on the three color planes by accessing each block. Alternate-plane diffusion uses chaotic sequence to process the image from both positive and negative directions, so that the pixel information of any point can be extended to the whole plane. Simulation experiments and performance analysis show that the proposed encryption algorithm is effective and reliable.

Automated summary

Chaotic maps are commonly used in image encryption, but many of them have limited chaotic ranges. To address this issue, a new chaotic map is proposed by combining modular sinusoidal discrete memristor and classical sine map. An image encryption algorithm is developed based on this new chaotic map, which allows controlling the encryption time by adjusting the block size. The algorithm consists of random-cross permutation and alternate-plane diffusion, which shuffle the pixels and process the image using chaotic sequences, respectively. Simulation experiments and performance analysis demonstrate the effectiveness and reliability of the proposed encryption algorithm.