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<p>With the rapid advancement of digital technology and the pervasive use of media information, ensuring image security and efficient transmission has become increasingly critical. Therefore, this paper proposes a novel 4D hyperchaotic system incorporating a compression encryption algorithm that integrates generalized Fibonacci matrices and heterogeneous scrambling. Firstly, the proposed scheme constructs a novel hyperchaotic system, and its dynamic characteristics are analyzed to validate its rich dynamical behavior, exhibiting high randomness and sensitivity to initial conditions. Secondly, during the compression phase, chaotic sequences regulate image compression, aiming to minimize the number of parameters involved in the encryption process. Thirdly, in the multi-channel heterogeneous scrambling method, the <i>RGB</i> channels are individually subjected to 2D non-equal-length Arnold scrambling, pseudo-random permutation, and higher-order Peano curve fractal scrambling at the pixel level. Furthermore, the scrambling parameters for each channel are dynamically governed by independent chaotic sequences. Finally, this paper proposes a cross-channel nonlinear diffusion algorithm leveraging a 3D dynamic Fibonacci matrix. Through the construction of a spatially coupled encryption scheme, the proposed method ensures triple-layer protection at the pixel, channel, and spatial levels. Experimental results and performance analysis indicate that, at a compression ratio of 0.5, the PSNR exceeds 30&#xa0;dB, while the SSIM remains above 0.90, reflecting high image reconstruction quality. In addition, the NPCR and the UACI reach approximately 99.60% and 33.46%, respectively. These results confirm that the proposed compression-encryption scheme is highly secure and demonstrates strong resilience against both differential and brute-force attacks.</p>

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Multi-strategy color image encryption scheme based on compressed sensing and a novel 4D hyperchaotic system

  • 期刊论文

  • 发表日期：

    2025年7月4日

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  • Zhiwen Zheng,
  • Zhong Chen,
  • Bofeng Long,
  • Tongzhe Liu,
  • Ximei Wu,
  • Xuan Deng,
  • Shuanglong Zou,
  • Ming Yao,
  • Can Cao

摘要

With the rapid advancement of digital technology and the pervasive use of media information, ensuring image security and efficient transmission has become increasingly critical. Therefore, this paper proposes a novel 4D hyperchaotic system incorporating a compression encryption algorithm that integrates generalized Fibonacci matrices and heterogeneous scrambling. Firstly, the proposed scheme constructs a novel hyperchaotic system, and its dynamic characteristics are analyzed to validate its rich dynamical behavior, exhibiting high randomness and sensitivity to initial conditions. Secondly, during the compression phase, chaotic sequences regulate image compression, aiming to minimize the number of parameters involved in the encryption process. Thirdly, in the multi-channel heterogeneous scrambling method, the RGB channels are individually subjected to 2D non-equal-length Arnold scrambling, pseudo-random permutation, and higher-order Peano curve fractal scrambling at the pixel level. Furthermore, the scrambling parameters for each channel are dynamically governed by independent chaotic sequences. Finally, this paper proposes a cross-channel nonlinear diffusion algorithm leveraging a 3D dynamic Fibonacci matrix. Through the construction of a spatially coupled encryption scheme, the proposed method ensures triple-layer protection at the pixel, channel, and spatial levels. Experimental results and performance analysis indicate that, at a compression ratio of 0.5, the PSNR exceeds 30 dB, while the SSIM remains above 0.90, reflecting high image reconstruction quality. In addition, the NPCR and the UACI reach approximately 99.60% and 33.46%, respectively. These results confirm that the proposed compression-encryption scheme is highly secure and demonstrates strong resilience against both differential and brute-force attacks.