Abstract
With the explosive growth of multimedia data and the extensive use of computer technology, the issues of image information security are becoming increasingly prominent. In order to achieve efficient and secure image information protection, this work introduces an image encryption method employing a new four-dimensional chaotic mapping and compressed sensing. Initially, in order to enhance the correlation with plain image, the hash function SHA-256 is employed to solve its initial values. Substituting these initial values into chaotic mapping to generate unpredictable sequences, which constitute the measurement matrix. Secondly, a scrambling operation is introduced to perform compressed sampling on the original image using compressed sensing theory, achieving preliminary encryption while simultaneously reducing data volume. Then the sequences generated by chaotic system are used to control DNA encoding, operation and decoding operations for secondary encryption, so as to realize the deep confusion and diffusion of information. Finally, the reconstructed image is restored through the reverse application of the encryption procedure coupled with the reconstruction methodology. Based on experimental analysis, the developed method exhibits excellent performance in key space size, correlation resistance, and resilience against differential attacks. Complexity analysis further indicates that the algorithm can perform both encryption and decryption operations in a short time. This paper could achieve a key space of 2395. Additionally, the values of the Number of Pixels Change Rate (NPCR) and Unified Average Change in Intensity (UACI) of this algorithm are close to the ideal theoretical values. These results collectively confirm the effectiveness of the algorithm in enhancing security.