Lorenz, Rossler, and Chan systems for key generation and pixel selection in chaotic image encryption

Sahun, Raghad Abed; Hamad, Aws Hamed; Al-saadi, Lamis Hamood; Jawad, Ameer K.

doi:10.37652/juaps.2025.161423.1435

	Lorenz, Rossler, and Chan systems for key generation and pixel selection in chaotic image encryption
Journal of University of Anbar for Pure Science
Volume 19, Issue 2, November and December 2025, Pages 192-207 PDF (5.3 M)
Document Type: Research Paper
DOI: 10.37652/juaps.2025.161423.1435
Authors
Raghad Abed Sahun^* ¹; Aws Hamed Hamad²; Lamis Hamood Al-saadi³; Ameer K. Jawad⁴
¹Physics department, College of sciences, Mustansiriyah University, Baghdad, Iraq
²Biotechnology research center, Al-Nahrain University, Baghdad, Iraq
³Department of Mathematical, College of Education for Pure Science, University of Babylon, Iraq
⁴Faculty of Engineering and information Technology, Al-Zahraa University for Women, Karbala, Iraq
Abstract
The increasing need for secure multimedia communication has driven the development of more robust encryption schemes. This paper introduces a novel chaotic image encryption algorithm that uniquely integrates three different chaotic systems, including Lorenz, Rossler, and Chan, to generate a highly unpredictable, non-sequential encryption process. Unlike prior dual-system approaches, the proposed method assigns distinct roles to each chaotic system for key generation, pixel selection, and indexing, thereby enhancing both confusion and diffusion properties while maintaining low computational overhead. The three proposed chaotic systems, Lorenz, Rossler, and Chan, introduce a high level of randomness in the encryption process. Lorenz system generates chaotic random integer numbers (CRINs) as encryption keys to ensure unpredictability. Rossler system randomly selects nonsequential pixel indices to enhance diffusion. Chan system applies an XOR operation between the selected image pixels and the generated chaotic keys and encrypt image with highly resistant to decryption attempts. The Diffie-Hellman key exchange protocol was also incorporated to share encryption keys between parties securely. Multiple image quality assessment metrics were used to evaluate the proposed algorithm’s effectiveness. The results indicated that the encrypted images exhibited significant distortion with a Mean Squared Error (MSE) of 9254.5 and a Peak Signalto-Noise Ratio (PSNR) of 8.4673 dB, indicating strong encryption. The Structural Similarity Index Measure (SSIM) was very low (0.000604), reflecting high image scrambling. The encrypted image’s entropy was 7.9997, nearing the ideal value of 8, ensuring maximum randomness. The decryption process accurately reconstructed the original image with an SSIM of 1 and zero MSE, with encryption and decryption times of 0.409s and 0.369s, respectively. The proposed encryption algorithm offers an effective solution for protecting digital images in public communication channels. Integrating chaotic systems with a structured encryption framework shows strong resistance to modern cryptographic threats. This approach is particularly valuable in high-security areas such as military operations, medical data transfer, and confidential communications.
Keywords
Chaos; Correlation; Cryptography; Key space; Real-time encryption

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