Medical Image Encryption Based on Josephus Traversing and Hyperchaotic Lorenz System

Area of Science:

• Cryptography
• Medical Imaging
• Applied Mathematics

Background:

• Medical images contain sensitive patient data requiring robust security.
• Existing encryption methods may lack sufficient security or robustness for medical applications.

Purpose of the Study:

• To develop a novel and secure medical image encryption scheme.
• To enhance the protection of medical images against various attacks.
• To ensure the integrity of medical images in telemedicine applications.

Main Methods:

• A chaotic sequence generated by a hyperchaotic Lorenz system is utilized.
• Image scrambling is performed using Josephus traversing and Arnold map.
• Diffusion is achieved using the chaotic sequence and exclusive OR operations.
• Plaintext image information is used for key generation to resist plaintext attacks.

Main Results:

• The proposed scheme effectively hides medical image information.
• The encryption method demonstrates strong resistance to common cryptanalytic attacks.
• The scheme exhibits excellent robustness, preserving image quality after damage.

Conclusions:

• The developed encryption scheme offers a secure and robust solution for medical image protection.
• It is suitable for safeguarding sensitive data in telemedicine.
• The research contributes positively to the field of secure medical imaging.