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Non-Linear Hopped Chaos Parameters-Based Image Encryption Algorithm Using Histogram Equalization.

Karim H Moussa1, Ahmed I El Naggary2, Heba G Mohamed3,4

  • 1Electrical Department, College of Engineering, Horus University Egypt, New Damietta 34518, Egypt.

Entropy (Basel, Switzerland)
|April 30, 2021
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Summary
This summary is machine-generated.

This study introduces a novel image encryption algorithm using a 3D hopping chaotic map for secure multimedia wireless communications. The proposed method offers enhanced security against various cryptographic attacks.

Keywords:
chaotic mapcorrelationequalizationimage encryptioninformation securitymultimedia

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Area of Science:

  • Computer Science
  • Information Security
  • Applied Mathematics

Background:

  • Multimedia wireless communications necessitate robust security measures for content protection.
  • Image encryption is crucial, with chaotic map-based schemes offering high reliability due to pixel correlation and data handling.
  • Existing methods often rely on fixed chaotic maps, potentially limiting security.

Purpose of the Study:

  • To propose a novel image encryption algorithm utilizing a 3D hopping chaotic map.
  • To enhance the security and robustness of multimedia content transmission.
  • To address the limitations of fixed chaotic logistic maps in image encryption.

Main Methods:

  • Developed a new encryption algorithm based on a 3D hopping chaotic map, incorporating non-linear position permutation and value transformation.
  • Implemented and evaluated the algorithm using comprehensive statistical and analytical tests.
  • Compared the proposed scheme against similar encryption methods.

Main Results:

  • The proposed algorithm exhibits high non-linearity, non-convergence, non-periodicity, and sensitivity to initial conditions.
  • Extensive testing (entropy, correlation, key space, NPCR, UACI, etc.) demonstrated the scheme's strength.
  • The algorithm proved robust against various cryptographic attacks.

Conclusions:

  • The novel 3D hopping chaotic map-based encryption scheme provides superior security for multimedia transmission.
  • The algorithm's non-linear dynamics contribute to its robustness and resistance to attacks.
  • This method represents a significant advancement in secure image encryption for wireless communications.