Fractal-Based Hybrid Cryptosystem: Enhancing Image Encryption with RSA, Homomorphic Encryption, and Chaotic Maps

Area of Science:

• Computer Science
• Cryptography
• Information Security

Background:

• Digital data protection is critical in the digital age.
• Existing image encryption methods face challenges in security and efficiency.
• Novel approaches are needed to combat unauthorized access and malicious activities.

Purpose of the Study:

• To introduce a novel fractal-based hybrid cryptosystem for enhanced digital image encryption.
• To improve security, efficiency, and robustness against various attacks.
• To leverage the strengths of RSA, homomorphic encryption, chaotic maps, and fractal geometry.

Main Methods:

• Combining RSA algorithm, Paillier homomorphic encryption, sine and logistic chaotic maps, and Sierpinski triangle fractal.
• Generating secret keys from chaotic maps and fractal properties for image encryption.
• Utilizing fractal self-similarity and chaotic map randomness for an expanded key space and heightened sensitivity.

Main Results:

• The proposed cryptosystem demonstrates simplicity, efficiency, and robust security.
• Effective safeguarding against statistical, differential, and brute-force attacks.
• Experimental evaluations show superior performance compared to existing methods in security and efficiency.

Conclusions:

• The fractal-based hybrid cryptosystem offers a significant advancement in digital image encryption.
• The scheme provides a strong foundation for future research and optimization in secure image transmission.
• This approach enhances data protection and privacy in digital communication.