Constructing dynamic S-boxes based on chaos and irreducible polynomials for image encryption

Inspired by the Arnold chaotic map, we design a new generation formula for constructing S-boxes, which effectively integrates the characteristics and advantages of chaos map and algebraic model and lays a good foundation for producing strong S-boxes. Then, using this generation formula as the core component, we propose a scheme for constructing dynamic S-boxes. The proposed scheme is driven by a chaotic map and can efficiently generate a large number of S-boxes. Taking advantage of the ergodicity of chaotic system, our scheme can ensure that the generated S-boxes have both excellent comprehensive performance and good diversity. The experimental results in this paper also confirm that the dynamic S-boxes produced by our method not only meet the requirements of designing encryption algorithms but also provide stronger security for image encryption. Moreover, our scheme also has high efficiency in generating S-boxes. Therefore, our scheme has good application potential in cryptography, such as providing high-performance S-boxes for image security and designing encryption algorithms with dynamic S-boxes.