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A robust image encryption scheme based on compressed sensing and novel 7D oscillato with complex dynamics.

Herman Landry Ndassi1,2, Romanic Kengne1, Armand Gabriel Gakam Tegue3,4

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Summary

This study introduces a novel image encryption system using chaotic dynamics and 2D compressed sensing (2D-CS). The system offers enhanced security through a unique S-box and chaotic sequences, demonstrating good robustness against attacks.

Keywords:
Compress sensingElliptic curveImage encryptionMultistable hidden attractors

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Area of Science:

  • Cryptography
  • Applied Mathematics
  • Information Security

Background:

  • Image encryption is crucial for data security.
  • Existing cryptosystems face challenges in efficiency and security.
  • Chaotic systems offer unique properties for cryptographic applications.

Purpose of the Study:

  • To develop a novel and efficient compressed-based cryptosystem for image encryption.
  • To integrate high-dimensional chaotic systems, dynamic S-boxes, and 2D compressed sensing.
  • To leverage unique chaotic phenomena like transient chaos and hidden attractors for enhanced security.

Main Methods:

  • Generation of a secret key using SHA-256 based on the input image.
  • Decomposition of the input image into sub-images for 2D compressed sensing using chaotic sequences from a 7D multistable system.
  • Substitution of the compressed image using a dynamic S-box based on the Mordell elliptic curve.
  • Diffusion of the substituted image using chaotic sequences from the 7D multistable system.

Main Results:

  • The proposed cryptosystem demonstrates strong dependence on the original image.
  • The 7D chaotic system exhibits transient chaos and hidden attractors, rare in Josephson junction systems.
  • Evaluated metrics and robustness tests against brute-force attacks show favorable results compared to existing literature.

Conclusions:

  • The novel compressed-based cryptosystem offers efficient and secure image encryption.
  • The integration of unique chaotic properties enhances cryptographic security.
  • The system's performance and robustness validate its potential for practical applications.