Medical image encryption algorithm based on a new five-dimensional multi-band multi-wing chaotic system and QR...

Area of Science:

• Cryptography
• Medical Imaging
• Applied Mathematics

Background:

• Medical image security is critical for protecting sensitive patient data.
• Existing encryption methods may lack sufficient security or efficiency.
• Chaotic systems offer complex dynamics suitable for encryption applications.

Purpose of the Study:

• To propose a novel and secure medical image encryption algorithm.
• To leverage a new five-dimensional (5D) multi-band multi-wing chaotic system.
• To utilize QR decomposition for enhanced encryption.

Main Methods:

• Constructed a new 5D multi-band multi-wing chaotic system with a large Lyapunov exponent.
• Applied QR decomposition to the plaintext image and chaotic sequences.
• Employed chaotic sequences for matrix multiplication and an improved Joseph loop for scrambling.
• Performed bit-level scrambling on the final product matrix.

Main Results:

• The proposed algorithm demonstrated a large key space and strong key sensitivity.
• The method effectively resisted statistical and gray value analysis attacks.
• Simulation results confirmed a good encryption effect for medical images.
• The algorithm showed robustness and high security.

Conclusions:

• The novel 5D chaotic system combined with QR decomposition provides a secure and effective method for medical image encryption.
• The algorithm's resistance to attacks and large key space make it suitable for practical applications.
• This approach enhances the confidentiality of medical images.