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Image Encryption Algorithm Based on the H-Fractal and Dynamic Self-Invertible Matrix.

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This study introduces a novel image encryption algorithm using H-fractal diffusion and a Lorenz hyperchaotic system. The method enhances security through unique pixel diffusion and scrambling, offering robust protection against attacks.

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Area of Science:

  • Cryptography
  • Computer Science
  • Applied Mathematics

Background:

  • Traditional image encryption methods face challenges in diffusion and scrambling.
  • The need for robust and secure image encryption algorithms is paramount in the digital age.

Purpose of the Study:

  • To propose a novel image encryption algorithm utilizing H-fractal diffusion and a dynamic self-invertible matrix.
  • To enhance image security through enriched pixel diffusion and effective scrambling techniques.

Main Methods:

  • The proposed algorithm employs H-fractal diffusion for enhanced pixel diffusion.
  • A Lorenz hyperchaotic system generates pseudorandom sequences for pixel scrambling.
  • A dynamic self-invertible matrix is used for image scrambling and diffusion.
  • Initial values of the Lorenz system are derived from the original image for enhanced security.

Main Results:

  • The H-fractal diffusion method enriches pixel diffusion by crossing pixels at H-fractal ends.
  • The algorithm effectively scrambles and diffuses images using pseudorandom sequences and self-invertible matrices.
  • Linking cipher image to original image via Lorenz system initial values enhances security.
  • Security analysis confirms the algorithm's ease of implementation, large key space, and strong key sensitivity.

Conclusions:

  • The proposed image encryption algorithm offers a secure and efficient solution.
  • It demonstrates strong resistance to plaintext attacks, making it suitable for sensitive data protection.