Application of S-Boxes based on the chaotic Hindmarsh-Rose system for image encryption

Document Type : Research Article


1 Department of Mathematics, Shahed University, Tehran, Iran

2 Department of Mathematics and Computer Sciences, Shahed University, Tehran, Iran

3 Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, Iran


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.