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This study introduces a novel image encryption algorithm using chaos, hash functions, and Josephus permutation. The method effectively secures image data against various attacks, ensuring robust information protection.

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Area of Science:

  • Cryptography
  • Computer Science
  • Information Security

Background:

  • Image encryption is crucial for data security.
  • Existing methods face challenges in efficiency and security.
  • Chaos-based systems offer potential for complex, secure encryption.

Purpose of the Study:

  • To propose a new, secure, and efficient image encryption algorithm.
  • To enhance image data protection using a combination of cryptographic techniques.
  • To evaluate the algorithm's security and performance.

Main Methods:

  • Developed a novel image encryption algorithm integrating chaos map systems, a hash algorithm, and Josephus permutation.
  • Implemented a three-stage process: chaos initialization, pixel position permutation, and pixel information diffusion.
  • Utilized Josephus and gray curve permutations for pixel distribution disturbance and cross-operation with ciphertext feedback for diffusion.

Main Results:

  • The algorithm demonstrated high sensitivity to initial values during chaos initialization.
  • Pixel position permutation effectively disturbed pixel distribution.
  • Diffusion process successfully broke inter-pixel correlations.
  • Security analyses, including information entropy and correlation tests, confirmed effective encryption.
  • The algorithm showed strong defense capabilities against various attacks.

Conclusions:

  • The proposed image encryption algorithm provides effective and secure protection for image information.
  • The combination of chaos, hash, and permutation techniques results in a robust encryption system.
  • The algorithm exhibits good resistance to common cryptographic attacks.