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A Novel Image Encryption Scheme Based on Two-Dimensional Chaotic Map Constructed from Ackley Function and DNA

Chao Jiang1, Xiong Zhang1,2, Xiaoqin Zhang3,4

  • 1College of Optical and Electronic Technology, China Jiliang University, Hangzhou 310018, China.

Entropy (Basel, Switzerland)
|March 28, 2026
PubMed
Summary

This study introduces a novel image encryption method using a two-dimensional Ackley-Sine chaotic map (2D-ASM) and DNA operations. The scheme offers robust security for digital images against various attacks.

Keywords:
DNA encodingDNA operationchaotic mapimage encryption

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Area of Science:

  • Computer Science
  • Cryptography
  • Information Security

Background:

  • Digital images are crucial in communication but face significant privacy risks.
  • Existing encryption methods require enhanced security measures for image data.

Purpose of the Study:

  • To propose a novel and secure image encryption scheme.
  • To enhance digital image privacy in contemporary communication systems.

Main Methods:

  • Designed and validated a two-dimensional Ackley-Sine chaotic map (2D-ASM) with superior chaotic properties.
  • Developed an image encryption scheme integrating 2D-ASM with dynamic DNA operations.
  • Utilized SHA-256 hash and external keys for secure initialization of the 2D-ASM system.

Main Results:

  • The 2D-ASM map demonstrated excellent chaotic characteristics (LE > 23, PE ≈ 1, high CD).
  • The encryption scheme achieved high NPCR (>99.6%) and UACI (≈33.4%), with ciphertext entropy ≥ 7.999.
  • The scheme showed strong resistance to statistical and differential attacks, outperforming existing algorithms.

Conclusions:

  • The proposed 2D-ASM based image encryption scheme provides a secure and effective solution for protecting digital image privacy.
  • The integration of chaotic maps and DNA operations offers superior encryption performance and resilience against attacks.