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A Novel One-Dimensional Chaotic System for Image Encryption Through the Three-Strand Structure of DNA.

Yingjie Su1, Han Xia1, Ziyu Chen1

  • 1School of Advanced Manufacturing, Guangdong University of Technology, Jieyang 522000, China.

Entropy (Basel, Switzerland)
|August 28, 2025
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Summary

This study introduces a new digital image encryption method using a one-dimensional sawtooth wave chaotic system and DNA structures. The novel approach enhances security against sophisticated attacks, improving data protection for digital images.

Keywords:
SHA-256 hash functionone-dimensional chaotic systemsecurity analysisthree-stranded structure of DNA

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Area of Science:

  • Cryptography
  • Computer Science
  • Applied Mathematics

Background:

  • Digital images are crucial in various fields, including IoT, mobile devices, and medical imaging.
  • Existing image encryption methods face challenges from advanced computational attacks.
  • There is a need for robust encryption algorithms to protect sensitive image data.

Purpose of the Study:

  • To propose a novel image encryption algorithm enhancing security and resistance to attacks.
  • To introduce a new one-dimensional sawtooth wave (1D-SAW) chaotic system.
  • To develop a new diffusion mechanism utilizing the three-strand structure of DNA.

Main Methods:

  • Designed a new 1D-SAW chaotic system with nonlinear terms and periodic disturbances for high randomness.
  • Developed a novel diffusion rule based on the three-strand DNA structure for increased complexity.
  • Evaluated the algorithm's security and randomness through comprehensive testing.

Main Results:

  • The 1D-SAW chaotic system demonstrated high randomness and initial value sensitivity.
  • The DNA-based diffusion rule significantly improved encryption complexity and anti-attack capabilities.
  • The proposed algorithm showed superior performance in resisting statistical and differential attacks.

Conclusions:

  • The novel image encryption algorithm effectively enhances digital image security.
  • The combination of the 1D-SAW chaotic system and DNA structure offers a robust solution against modern cyber threats.
  • This method provides a promising advancement in secure image transmission and storage.