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

M Karmany1,2, A Moawad3, M Abaza4

  • 1Lab-STICC, UMR 6285 CNRS, ENSTA IP Paris, Brest, France. mahmoud.karmany@ensta.fr.

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Summary
This summary is machine-generated.

This study introduces a novel image encryption method using chaos theory and quantum walks. The new framework enhances security against cyber threats, offering robust protection for visual data.

Keywords:
Discrete-Time Quantum-inspired Walks (DTQWs)Image encryptionLorenz chaotic systemS-BoxSHA-256

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Area of Science:

  • Cryptography
  • Information Security
  • Quantum Computing

Background:

  • Existing chaos-based image encryption methods struggle with low key sensitivity and static substitution, posing challenges for secure visual data transmission.
  • Sophisticated cyber threats necessitate advanced cryptographic techniques for robust image information protection.

Purpose of the Study:

  • To develop a highly secure multistage image encryption framework overcoming limitations of current methods.
  • To enhance key sensitivity, diffusion, and confusion in image encryption algorithms.

Main Methods:

  • Synergistic fusion of the Lorenz chaotic system, Secure Hash Algorithm 256 (SHA-256), and Discrete Time Quantum-inspired Walks (DTQWs).
  • Utilizing bitwise modular operations for chaotic diffusion and dynamically constructing plaintext-dependent Substitution Boxes (S-Boxes) via DTQWs for confusion.
  • Incorporating SHA-256 for a session-dependent quantum coin rotation parameter to ensure dynamic, plaintext-sensitive evolution.

Main Results:

  • Achieved near-ideal entropy (7.9999), high NPCR and UACI rates, and correlation coefficients close to zero.
  • Demonstrated high decryption reconstruction fidelity with PSNR = ∞ and NCC close to 1 for lossless recovery.
  • Python-based evaluations confirmed outstanding security performance and robustness.

Conclusions:

  • The proposed framework offers superior randomness, a balanced diffusion-confusion mechanism, and resilience against statistical and differential attacks.
  • It presents a promising solution for secure image communication and high-assurance data protection in advanced multimedia systems.