A robust image encryption scheme based on compressed sensing and novel 7D oscillato with complex dynamics

Area of Science:

• Cryptography
• Applied Mathematics
• Information Security

Background:

• Image encryption is crucial for data security.
• Existing cryptosystems face challenges in efficiency and security.
• Chaotic systems offer unique properties for cryptographic applications.

Purpose of the Study:

• To develop a novel and efficient compressed-based cryptosystem for image encryption.
• To integrate high-dimensional chaotic systems, dynamic S-boxes, and 2D compressed sensing.
• To leverage unique chaotic phenomena like transient chaos and hidden attractors for enhanced security.

Main Methods:

• Generation of a secret key using SHA-256 based on the input image.
• Decomposition of the input image into sub-images for 2D compressed sensing using chaotic sequences from a 7D multistable system.
• Substitution of the compressed image using a dynamic S-box based on the Mordell elliptic curve.
• Diffusion of the substituted image using chaotic sequences from the 7D multistable system.

Main Results:

• The proposed cryptosystem demonstrates strong dependence on the original image.
• The 7D chaotic system exhibits transient chaos and hidden attractors, rare in Josephson junction systems.
• Evaluated metrics and robustness tests against brute-force attacks show favorable results compared to existing literature.

Conclusions:

• The novel compressed-based cryptosystem offers efficient and secure image encryption.
• The integration of unique chaotic properties enhances cryptographic security.
• The system's performance and robustness validate its potential for practical applications.