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<p>Image encryption is an important method to protect personal data and privacy. This paper designs a new two-dimensional chaotic system (2D-LFM) based on the logistic map and Fuch map, which exhibits better ergodicity, randomness, and a higher Lyapunov exponent (LE), compared with three existing two-dimensional chaotic systems. Combining bit-plane encryption with pixel-plane encryption, this paper proposes a novel color image encryption method that first performs the first round of diffusion and scrambling in the bit-plane to modify the values and positions of image pixels, and then applies the second round of STP-XOR-DAS diffusion and scrambling in the pixel-plane to further increase the complexity of the encrypted image. Experimental results demonstrate that the proposed image encryption scheme achieves NPCR and UACI values of 99.6095% (theoretical: 99.6094%) and 33.4623% (theoretical: 33.4635%) respectively. The encryption time for <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(256 \times 256 \times 3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>256</mn> <mo>×</mo> <mn>256</mn> <mo>×</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(512 \times 512 \times 3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>512</mn> <mo>×</mo> <mn>512</mn> <mo>×</mo> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation> images is 0.3533s and 0.5371s respectively, indicating exceptional security performance that can effectively resist various typical attacks. In addition, the robustness of the encrypted image is closely related to the self-set parameter <i>t</i>. As the value of <i>t</i> decreases, the robustness of the encrypted image increases accordingly.</p>

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Chaotic image encryption method based on STP-XOR-DAS

  • 期刊论文

  • 发表日期：

    2026年2月24日

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  • Yaqian Wu,
  • Rongpei Zhou,
  • Rongfa Li,
  • Yong Ding,
  • Qiegen Liu

摘要

Image encryption is an important method to protect personal data and privacy. This paper designs a new two-dimensional chaotic system (2D-LFM) based on the logistic map and Fuch map, which exhibits better ergodicity, randomness, and a higher Lyapunov exponent (LE), compared with three existing two-dimensional chaotic systems. Combining bit-plane encryption with pixel-plane encryption, this paper proposes a novel color image encryption method that first performs the first round of diffusion and scrambling in the bit-plane to modify the values and positions of image pixels, and then applies the second round of STP-XOR-DAS diffusion and scrambling in the pixel-plane to further increase the complexity of the encrypted image. Experimental results demonstrate that the proposed image encryption scheme achieves NPCR and UACI values of 99.6095% (theoretical: 99.6094%) and 33.4623% (theoretical: 33.4635%) respectively. The encryption time for \(256 \times 256 \times 3\) 256 × 256 × 3 and \(512 \times 512 \times 3\) 512 × 512 × 3 images is 0.3533s and 0.5371s respectively, indicating exceptional security performance that can effectively resist various typical attacks. In addition, the robustness of the encrypted image is closely related to the self-set parameter t. As the value of t decreases, the robustness of the encrypted image increases accordingly.