An efficient image encryption scheme based on Lorenz system and quantum-inspired walks

Securing visual information against sophisticated cyber threats remains a core challenge in modern cryptography because many existing chaos-based image encryption schemes suffer from low key sensitivity and static substitution. To overcome these intrinsic limitations, this study develops a multistage image encryption framework by synergistically fusing the Lorenz chaotic system, Secure Hash Algorithm 256 (SHA-256), and Discrete Time Quantum-inspired Walks (DTQWs). The chaotic Lorenz system yields highly sensitive diffusion sequences via bitwise modular operations, whereas the DTQW dynamically constructs plaintext-dependent Substitution Boxes (S-Boxes) and thereby reinforces confusion to minimize statistical predictability. The SHA-256 hash introduces a session-dependent quantum coin rotation parameter to ensure dynamic evolution with intrinsic plaintext sensitivity during the encryption process. Extensive simulations demonstrate outstanding security performance of the proposed scheme: near ideal entropy value of 7.9999, the Number of Pixels Change Rate (NPCR) and the Unified Average Intensity Value (UACI) rates of [Formula: see text] and [Formula: see text], correlation coefficients close to zero, and high decryption reconstruction fidelity with Peak Signal to Noise Ratio (PSNR = ∞) and Normalized Correlation Coefficient (NCC [Formula: see text]) for lossless recovery in our python based-evaluations. Compared with other state-of-the-art chaotic and quantum-inspired encryption techniques, the proposed framework offers superior randomness, a good diffusion-confusion balance, and robustness against statistical and differential attacks. Thus, it is a promising candidate for secure image communication and high-assurance data protection in next-generation multimedia systems.

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Publication Details

Journal
Scientific Reports
Published
2026-01-19
DOI
https://doi.org/10.1038/s41598-025-33365-0
Primary Topic
Chaos-based Image/Signal Encryption
Type
article
Field-Weighted Citation Impact
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article

An efficient image encryption scheme based on Lorenz system and quantum-inspired walks

Azza Moawad, Ali Mansour, Mohamed Abaza, Ayman Alfalou et al.
Scientific Reports
Chaos-based Image/Signal Encryption
article

An efficient image encryption scheme based on Lorenz system and quantum-inspired walks

Azza Moawad, Ali Mansour, Mohamed Abaza, Ayman Alfalou, Mahmoud Karmany
article en

Abstract

Securing visual information against sophisticated cyber threats remains a core challenge in modern cryptography because many existing chaos-based image encryption schemes suffer from low key sensitivity and static substitution. To overcome these intrinsic limitations, this study develops a multistage image encryption framework by synergistically fusing the Lorenz chaotic system, Secure Hash Algorithm 256 (SHA-256), and Discrete Time Quantum-inspired Walks (DTQWs). The chaotic Lorenz system yields highly sensitive diffusion sequences via bitwise modular operations, whereas the DTQW dynamically constructs plaintext-dependent Substitution Boxes (S-Boxes) and thereby reinforces confusion to minimize statistical predictability. The SHA-256 hash introduces a session-dependent quantum coin rotation parameter to ensure dynamic evolution with intrinsic plaintext sensitivity during the encryption process. Extensive simulations demonstrate outstanding security performance of the proposed scheme: near ideal entropy value of 7.9999, the Number of Pixels Change Rate (NPCR) and the Unified Average Intensity Value (UACI) rates of [Formula: see text] and [Formula: see text], correlation coefficients close to zero, and high decryption reconstruction fidelity with Peak Signal to Noise Ratio (PSNR = ∞) and Normalized Correlation Coefficient (NCC [Formula: see text]) for lossless recovery in our python based-evaluations. Compared with other state-of-the-art chaotic and quantum-inspired encryption techniques, the proposed framework offers superior randomness, a good diffusion-confusion balance, and robustness against statistical and differential attacks. Thus, it is a promising candidate for secure image communication and high-assurance data protection in next-generation multimedia systems.

Scientific ReportsVol. 16(1)
Centre National de la Recherche Scientifique (FR), Université de Bretagne Occidentale (FR), École Nationale Supérieure de Techniques Avancées (FR), Institut Supérieur de l'Électronique et du Numérique (FR), Arab Academy for Science, Technology, and Maritime Transport (EG), Laboratoire des Sciences et Techniques de l’Information de la Communication et de la Connaissance (FR), École nationale supérieure de techniques avancées Bretagne (FR)
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Openalex Percentile: Top 84%
Chaos-based Image/Signal Encryption
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