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A Secure Image Encryption Scheme Based on a New Hyperchaotic System and 2D Compressed Sensing.

Muou Liu1, Chongyang Ning1, Congxu Zhu2

  • 1College of Electronic Information and Physics, Central South University of Forestry and Technology, Changsha 410004, China.

Entropy (Basel, Switzerland)
|July 26, 2024
PubMed
Summary
This summary is machine-generated.

This study introduces a novel image compression and encryption method using a new hyperchaotic system and 2D compressed sensing (2DCS). The approach enhances image reconstruction quality and security for data transmission in limited bandwidth environments.

Keywords:
chaotic systemcompressed sensinghyperchaotic mapimage encryption

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Area of Science:

  • Cryptography
  • Information Theory
  • Applied Mathematics

Background:

  • Limited communication bandwidth necessitates efficient image compression and encryption.
  • Existing methods often compromise image reconstruction quality and encryption security.
  • Secure and high-fidelity transmission of sensitive image data remains a challenge.

Purpose of the Study:

  • To propose an improved image compression and encryption scheme.
  • To enhance security and reconstruction quality for data transmission.
  • To address limitations of current compression and encryption algorithms.

Main Methods:

  • A novel 2D hyperchaotic system designed for pseudo-random number generation.
  • Two-dimensional compressed sensing (2DCS) technique for data acquisition.
  • An improved 2D projected gradient (2DPG) algorithm for reconstruction.
  • A new image encryption algorithm leveraging the hyperchaotic system.

Main Results:

  • The proposed hyperchaotic system demonstrates superior chaotic performance validated by bifurcation and Lyapunov diagrams, approximate entropy, and permutation entropy.
  • The 2D chaotic system passed all NIST statistical test suite items, confirming its suitability as a pseudo-random number generator.
  • The improved 2DPG algorithm enhanced image compression and reconstruction quality, reducing transmission pressure.
  • The new encryption algorithm exhibited strong security, confirmed by key space analysis and high information entropy of encrypted images.

Conclusions:

  • The developed scheme offers a robust solution for secure and high-quality image transmission in bandwidth-constrained environments.
  • The novel hyperchaotic system and improved 2DCS technique provide significant advantages over traditional methods.
  • The findings contribute to advancements in secure communication and image processing technologies.