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<p>To improve the security of color image encryption, a four-dimensional hyperchaotic system with a single attractor is proposed in this paper and applied to image encryption. The system exhibits a wide range of hyperchaotic properties and stable hyperchaotic behavior when the parameters vary. The complex chaotic behavior of the system is verified through dynamics analysis, sensitivity analysis, and randomness tests. Based on this chaotic system, we propose a color image encryption scheme combining Go rules permutation and 3D zigzag diffusion. Introducing Go rules improves the sensitivity of the encryption result to chaotic sequences, thereby reducing the risk of the encryption scheme being broken due to the reconstruction of the chaotic system. The proposed 3D zigzag extraction method effectively disrupts the correlation between pixel points within the same channel while enhancing the connection between different channels of a color image. Experimental results demonstrate that the encryption scheme effectively resists brute force attacks, statistical analysis attacks, and differential attacks, exhibiting robust performance suitable for high-security color image encryption.</p>

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Color image encryption scheme based on a single attractor hyperchaotic system and Go rules

  • 期刊论文

  • 发表日期：

    2025年1月21日

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  • Xuncai Zhang,
  • Guanhe Liu,
  • Ying Niu,
  • Chengye Zou

摘要

To improve the security of color image encryption, a four-dimensional hyperchaotic system with a single attractor is proposed in this paper and applied to image encryption. The system exhibits a wide range of hyperchaotic properties and stable hyperchaotic behavior when the parameters vary. The complex chaotic behavior of the system is verified through dynamics analysis, sensitivity analysis, and randomness tests. Based on this chaotic system, we propose a color image encryption scheme combining Go rules permutation and 3D zigzag diffusion. Introducing Go rules improves the sensitivity of the encryption result to chaotic sequences, thereby reducing the risk of the encryption scheme being broken due to the reconstruction of the chaotic system. The proposed 3D zigzag extraction method effectively disrupts the correlation between pixel points within the same channel while enhancing the connection between different channels of a color image. Experimental results demonstrate that the encryption scheme effectively resists brute force attacks, statistical analysis attacks, and differential attacks, exhibiting robust performance suitable for high-security color image encryption.