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A secure and efficient image encryption scheme based on chaotic systems and nonlinear transformations.

Wassim Alexan1, Noura H El Shabasy2, Noha Ehab3

  • 1Communications Department, Faculty of Information Engineering and Technology, German University in Cairo (GUC), New Cairo, Egypt. wassim.alexan@ieee.org.

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|August 25, 2025
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Summary
This summary is machine-generated.

This study introduces a novel multi-image encryption method using a 5D hyperchaotic system, Arnold's Cat Map, and Langton's Ant. The technique offers enhanced security and efficiency for digital image encryption, outperforming traditional methods.

Keywords:
Arnold’s cat mapChaotic mapsCryptographyHyperchaotic systemsImage encryptionLangton’s AntSecurity analysis

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Area of Science:

  • Computer Science
  • Cryptography
  • Information Security

Background:

  • Digital image encryption is crucial due to increasing data and IoT adoption.
  • Traditional methods like AES and DES are insufficient for image data due to redundancy and real-time needs.

Purpose of the Study:

  • To propose a novel, secure, and efficient multi-image encryption scheme.
  • To address the limitations of traditional encryption for digital imagery.

Main Methods:

  • Integration of a 5D hyperchaotic system for key generation.
  • Utilizing Arnold's Cat Map for transformation and Langton's Ant for pixel scrambling (diffusion).
  • A newly designed S-box for byte substitution.

Main Results:

  • Achieved a large key space and low pixel correlation.
  • Demonstrated fast encryption speed (0.1602s for a 512x512 image).
  • Security analyses (histogram, correlation, entropy, NPCR, UACI, NIST tests) confirmed robustness.

Conclusions:

  • The proposed hybrid encryption method provides high security and efficiency.
  • It is suitable for real-time applications and resistant to various attacks.
  • Outperforms existing chaotic and hybrid encryption techniques.