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Related Concept Videos

Entropy Change in Reversible Processes01:10

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Updated: Sep 11, 2025

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A high-entropy image encryption scheme using optimized chaotic maps with Josephus permutation strategy.

Nawal El Ghouate1, Mohamed Amine Tahiri1, Ahmed Bencherqui1

  • 1Laboratory of Engineering, Systems and Applications, National School of Applied Sciences, Sidi Mohamed Ben Abdellah University, Fez, Morocco.

Scientific Reports
|August 11, 2025
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Summary
This summary is machine-generated.

This study introduces a novel image encryption algorithm using chaotic maps and the Josephus problem. The method enhances security and speed for protecting sensitive digital images in medicine and surveillance.

Keywords:
Chaotic Kepler optimizerEncryption processJosephus problems

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Area of Science:

  • Computer Science
  • Cryptography
  • Image Processing

Background:

  • Digital data exchange necessitates robust image protection, especially in medicine, surveillance, and secure communications.
  • Traditional encryption methods (DES, AES, RSA) are suboptimal for images due to pixel redundancy and correlation.
  • Existing image encryption schemes often face challenges with speed and computational complexity.

Purpose of the Study:

  • To develop a novel, resilient, and efficient image encryption algorithm overcoming limitations of traditional methods.
  • To enhance image security through optimal diffusion and pixel confusion using chaotic maps.
  • To improve key generation and reduce processing time while maintaining high encryption quality.

Main Methods:

  • A novel image encryption algorithm combining chaotic maps and the variable-step Josephus problem.
  • Kepler Chaotic Optimisation Algorithm (CKOA) for selecting optimal chaotic maps.
  • MD5 and SHA-256 hash functions for secure key generation.
  • Discrete Wavelet Transform (DWT) for image compression and reduced processing time.

Main Results:

  • Achieved high average entropy of 7.999 for encrypted images.
  • Demonstrated strong resistance to cryptographic attacks with a 99.6% pixel change rate and 33.31% unified average change intensity.
  • The proposed algorithm offers superior security compared to existing schemes.

Conclusions:

  • The novel image encryption algorithm provides enhanced security, speed, and reduced computational complexity.
  • The integration of chaotic maps, Josephus problem, and DWT offers a robust solution for image protection.
  • This method is highly suitable for sensitive image data in various critical sectors.