University of Guilan Journal of Mathematical Modeling 2345-394X 11 2 2023 07 01 Application of S-Boxes based on the chaotic Hindmarsh-Rose system for image encryption 277 300 6278 10.22124/jmm.2023.23199.2068 EN Meisam Bavand Savadkouhi Department of Mathematics, Shahed University, Tehran, Iran Hamid Haj Seyyed Javadi Department of Mathematics and Computer Sciences, Shahed University, Tehran, Iran Mohammad Akbari Tootkaboni Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Iran Journal Article 2022 11 06 The substitution box (S-Box) is a critical component in symmetric cipher algorithms. In this paper, we choose the Hindmarsh-Rose system to generate chaotic S-Boxes. We propose two S-Boxes based on the rotation algorithm relative to the rows (or columns) and the other based on the Zigzag transformation. The performance of the new S-Boxes is evaluated by bijective, nonlinearity, strict avalanche criterion (SAC), output bits independence criterion (BIC), differential approximation probability, linear approximation probability, and algebraic degree. The analysis results show that the presented S-Boxes have suitable cryptographic properties. Also, an image encryption algorithm based on two proposed S-Boxes, and a chaotic Hindmarsh-Rose system are presented. Experimental results show the recommended method has attained good security, and the suggested plan has potent resistance to different attacks. https://jmm.guilan.ac.ir/article_6278_6a82c8928f1ca101f71b85d237e07f83.pdf