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Design and analysis of a secure image encryption algorithm using proposed non-linear RN chaotic system and ECC/HKDF
He Zhiqiang1, Abdul Rauf2, Arif Nazir2
1School of Modern Information Industry, Guangzhou College of Commerce, Guangzhou, China.
Scientific Reports
|November 14, 2025
Summary
This study presents a novel chaotic system for secure image encryption, enhancing unpredictability and key sensitivity for robust digital security in networked environments. The method ensures efficient and secure image transfer for applications like surveillance.
Area of Science:
- Computer Science
- Cryptography
- Information Security
Background:
- Digital image security is paramount in edge computing and networked communications.
- Existing chaotic systems for encryption face limitations in chaotic range and key sensitivity.
- Need for robust, lightweight, and real-time encryption methods for image data.
Purpose of the Study:
- Introduce a robust nonlinear RN chaotic system to improve unpredictability and chaotic interval.
- Develop a fast image encryption scheme using the RN chaotic system with advanced cryptographic techniques.
- Enhance digital image security against various attacks in modern computing environments.
Main Methods:
- Combined two chaotic maps to create a robust nonlinear RN chaotic system.
- Integrated the RN chaotic system with elliptic-curve Diffie-Hellman (ECDH) key exchange, hierarchical key derivation (HKDF), and dynamic S-box generation.
- Implemented plaintext-independent key generation, ECDSA authentication, and HMAC-SHA256 for integrity.
Main Results:
- Achieved near-ideal entropy levels (~7.999), high NPCR (>99.61%), and UACI (>32%).
- Demonstrated strong image complexity with a keyspace of 10^256, high sensitivity, and randomness.
- Exhibited low PSNR values and limited correlation, indicating resilience to statistical and differential attacks.
Conclusions:
- The proposed RN chaotic system and encryption scheme offer superior unpredictability and security.
- The method provides a dependable, portable, and efficient solution for secure image transfer.
- Outperforms existing methods in computational reliability, encryption strength, and resistance to attacks.
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