Hyperchaotic System-Based PRNG and S-Box Design for a Novel Secure Image Encryption

Area of Science:

• Chaos theory
• Cryptography
• Image processing

Background:

• Hyperchaotic systems offer complex dynamics suitable for cryptographic applications.
• Existing pseudo-random number generators (PRNGs) and S-boxes have limitations in security and efficiency.
• Image encryption requires robust algorithms to protect sensitive visual data.

Purpose of the Study:

• To analyze a hyperchaotic system and confirm its behavior.
• To develop and validate a PRNG and a 16x16 S-box based on the hyperchaotic system.
• To design and evaluate a novel image encryption algorithm utilizing the developed PRNG and S-box.

Main Methods:

• Dynamic analysis of the hyperchaotic system.
• NIST SP800-22 statistical tests for PRNG validation.
• Construction and comparative analysis of a 16x16 S-box.
• Implementation and security evaluation of an image encryption algorithm on grayscale images.

Main Results:

• The hyperchaotic system exhibited confirmed chaotic behavior.
• The PRNG passed NIST SP800-22 tests, indicating cryptographic suitability.
• The proposed S-box demonstrated superior nonlinearity and performance compared to existing designs.
• The image encryption algorithm showed high reliability, successfully encrypting and decrypting images.
• Comprehensive security analyses confirmed the algorithm's resistance to various attacks and its efficiency.

Conclusions:

• The hyperchaotic system is effective for developing reliable PRNGs and secure S-boxes.
• The proposed image encryption algorithm offers enhanced security and efficiency over current methods.
• This research provides a promising approach for secure communication and data protection through hyperchaotic cryptography.