A Novel Image Encryption Algorithm Based on Parameter-Control Scroll Chaotic Attractors

This paper describes a novel image encryption algorithm based on a parameter-control scroll chaotic attractor. Firstly, a novel chaotic system is constructed, and some basic dynamic characteristics of the chaotic system are analyzed. Secondly, the chaotic sequence is decomposed using the Schur decomposition method to obtain N orthogonal matrices, which are multiplied by the plaintext matrix. Finally, the six high-order bit planes are subjected to disturbance and “same OR” operations, and the scrambled image matrix is combined with the low two-bit matrix to obtain an eight-bit matrix. At the same time, the same OR operation is applied to the disturbed image matrix and the chaotic sequence to obtain the final encrypted image. Theoretical analysis shows that the key space of the algorithm can be up to 10
¹³⁵
. Additionally, simulation results demonstrate that the proposed method achieves high key sensitivity and can effectively resist statistical analysis and gray value analysis attacks. With the exception of exhaustive attacks, all attack methods based on the determined plaintext–ciphertext mapping relationship will be invalid.