Image Encryption Based on Chen Chaotic System, OpenSSL S-Box and the Fibonacci Q-Matrix

Abstract

This paper presents a novel image encryption algorithm that leverages the chaotic properties of the Chen system, the cryptographic strength of OpenSSL, and the mathematical robustness of the Fibonacci Q-Matrix. The proposed method begins by generating an encryption key using the Chen chaotic system, known for its sensitivity to initial conditions and complex dynamic behavior. This key is then utilized in conjunction with a substitution box (S box) generated through OpenSSL to introduce non-linearity and diffusion into the encryption process. To further enhance security, the resulting image data undergoes a series of multiplications by a large number of Fibonacci Q-Matrices, exploiting their recursive properties for added complexity and confusion. Numerical results demonstrate the proposed algorithm’s superior performance in terms of security and efficiency, making it a promising solution for safeguarding digital images against unauthorized access and cryptographic attacks.