Enhanced double random phase encryption with logistic map keying and iterative diffusion

Area of Science:

• Computer Science
• Cryptography
• Image Processing

Background:

• Secure image transmission is vital for surveillance, medicine, and digital forensics.
• Traditional Double Random Phase Encryption (DRPE) has limitations including small key space and vulnerability to attacks.
• Existing DRPE methods are susceptible to cryptographic exploration and known-plaintext attacks due to phase mask compromises.

Purpose of the Study:

• To propose an enhanced DRPE (EDRPE) system addressing the security vulnerabilities of classical DRPE.
• To introduce a feature-iterative XOR image encryption (FIXIE) algorithm to generate image-dependent keys and resist Grover's attacks.
• To achieve improved security and computational efficiency in optical image encryption.

Main Methods:

• Implemented chaotic key generation using a logistic map.
• Integrated a dynamic substitution box (S-Box) for enhanced confusion and diffusion.
• Developed a feature-iterative XOR image encryption (FIXIE) algorithm with nonlinear, chaos-driven iterative key evolution.

Main Results:

• The EDRPE-FIXIE framework demonstrated strong unified average change intensity and high pixel change rates.
• Achieved extremely weak correlation between adjacent encrypted pixels and near-ideal entropy.
• Verified the system's suitability for real-time and memory-restricted encryption services without performance compromise.

Conclusions:

• The proposed EDRPE-FIXIE system effectively overcomes the limitations of classical DRPE.
• The novel approach enhances security through chaos-driven iterative key evolution and dynamic S-Boxes.
• The framework provides a secure, efficient solution for visual information security in demanding applications.