Asymmetric double-image encryption based on cascaded discrete fractional random transform and logistic maps

Area of Science:

• Cryptography
• Image Processing
• Applied Mathematics

Background:

• Secure image transmission is crucial in digital communication.
• Existing encryption methods face challenges in robustness and security against sophisticated attacks.
• The need for asymmetric cryptosystems with high resistance to various attacks is growing.

Purpose of the Study:

• To propose a novel double-image encryption scheme.
• To enhance security and resistance against potential attacks.
• To leverage discrete fractional random transforms and logistic maps for image encryption.

Main Methods:

• Compositing two images into an enlarged image and scrambling it using cat maps generated from logistic maps.
• Decomposing the scrambled image into two components.
• Deriving a ciphertext with stationary white noise distribution using cascaded discrete fractional random transforms.

Main Results:

• The proposed cryptosystem is asymmetric.
• It demonstrates high resistance against chosen plaintext attacks.
• Simulation results and security analysis confirm the scheme's feasibility and effectiveness.

Conclusions:

• The developed double-image encryption scheme is secure and efficient.
• The use of logistic maps and discrete fractional random transforms provides a strong foundation for secure image encryption.
• The system offers a promising solution for secure digital image communication.