A Novel Image-Encryption Scheme Based on a Non-Linear Cross-Coupled Hyperchaotic System with the Dynamic Correlation...

Area of Science:

• Non-linear dynamics
• Cryptography
• Image processing

Background:

• Existing cross-coupled chaotic maps have limitations in hyperchaotic range and dynamic behavior.
• Secure and efficient image encryption algorithms are crucial for data protection.

Purpose of the Study:

• To propose a novel logistic Feigenbaum non-linear cross-coupled hyperchaotic map (LF-NCHM) model.
• To develop a new image encryption algorithm utilizing the LF-NCHM for enhanced security and efficiency.

Main Methods:

• Developed the LF-NCHM model based on logistic and Feigenbaum maps.
• Designed an image encryption algorithm with a permutation stage dynamically related to plaintext pixels.
• Employed a hyperchaotic sequence for both scrambling and diffusion phases.

Main Results:

• Experimental verification confirmed the LF-NCHM as a hyperchaotic system with a wider range and richer dynamics.
• The proposed encryption algorithm demonstrated outstanding security and high efficiency.
• The algorithm effectively resisted statistical, differential, and chosen-plaintext attacks.

Conclusions:

• The LF-NCHM model provides a robust foundation for advanced cryptographic applications.
• The novel image encryption algorithm offers a significant improvement in security and computational efficiency.
• The dynamic permutation and unified sequence usage enhance resistance against cryptanalysis.