Image Compression–Encryption Algorithm Based on 3D Discrete Chaotic System and Josephus Circle

Numerous image encryption schemes are hindered by weak correlations with plaintex images, inadequate image reconstruction quality, and inefficient transmission and storage. To address these problems, this paper proposes an image compression–encryption algorithm that combines a three-dimensional discrete chaotic system, Josephus circle and compression perception. First, a new three-dimensional discrete hyperchaotic system is constructed, utilizing a hash function to generate the initial value of the chaotic system, through which the measurement matrix and the sequences required for the encryption process are constructed. An encryption algorithm based on chaotic sequence and Josephus circle is designed. Finally, the proposed compressed encryption algorithm is simulated and tested, and the results of experimental tests indicate that the proposed algorithm provides robust security and high-quality reconstruction performance.