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A Symmetric Image Encryption Algorithm Based on a Coupled Logistic-Bernoulli Map and Cellular Automata Diffusion

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Summary
This summary is machine-generated.

This study enhances image encryption security by integrating a novel chaotic map with cellular automata. The new method improves diffusion and offers superior security and efficiency for digital images.

Keywords:
chaotic systemevolution effects in cellular automataimage privacylogistic–Bernoulli map

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Area of Science:

  • Cryptography
  • Information Security
  • Computational Science

Background:

  • Classical confusion-substitution structures and existing pseudorandom number generators (PRNGs) have security limitations.
  • One-dimensional chaotic maps are often used in PRNGs but require enhancement for robust cryptosystems.

Purpose of the Study:

  • To improve the security and efficiency of image encryption algorithms.
  • To address the low security issues in traditional cryptosystems.

Main Methods:

  • A novel bit-level cellular automata strategy was developed to enhance cryptosystem sensitivity and diffusion.
  • A new one-dimensional chaotic map, the logistic-Bernoulli map (LBM), was created by coupling logistic and Bernoulli maps.
  • A new image encryption algorithm was proposed, utilizing 3D bit-level permutation with the LBM in the confusion phase.

Main Results:

  • The cellular automata strategy significantly improved the diffusion effect.
  • The proposed LBM demonstrated superior random behavior and efficiency compared to existing maps.
  • Simulations confirmed the enhanced security and high efficiency of the proposed image encryption scheme.

Conclusions:

  • The integration of advanced cellular automata and the LBM offers a robust solution for secure image encryption.
  • The proposed algorithm provides a significant advancement in cryptographic techniques for digital image protection.