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This paper proposes a secure and efficient asymmetric image encryption mechanism combining Gyrator and Fresnel transforms with digital holography and LU decomposition. The scheme effectively encrypts the input image into an apparently random cipher image while maintaining strong key sensitivity and resilience against brute-force attacks. It achieves a low encryption time of \(0.204172\) s (for \(256\times 256\) images) and scales efficiently up to 3.05 s for \(1024\times 1024\) images, demonstrating low complexity. It offers high security with an entropy value of \(7.9953\) and an overall key space of \({2}^{\text{65,579}}\) making it robust against brute-force attacks. Experimental results on standard images show \(PSNR>243 dB, CC=1\) and \(MSE\approx {10}^{-25}\) for decrypted outputs. The scheme also exhibits strong resistance to differential attacks, with \(NPCR > 99.98\%\) and UACI ≈ 33.3%. These results confirm quality decryption and resilience to occlusion, noise and statistical attacks. Its low complexity and robustness make it a promising solution for secure real-time image transmission.

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Low-Complexity Asymmetric Image Encryption via Gyrator–Fresnel Transforms and Digital Holography

  • 会议论文

  • 发表日期：

    2026年

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  • Aayush Jindal,
  • Pankaj Rakheja,
  • Shilpa Mahajan

摘要

This paper proposes a secure and efficient asymmetric image encryption mechanism combining Gyrator and Fresnel transforms with digital holography and LU decomposition. The scheme effectively encrypts the input image into an apparently random cipher image while maintaining strong key sensitivity and resilience against brute-force attacks. It achieves a low encryption time of \(0.204172\) s (for \(256\times 256\) images) and scales efficiently up to 3.05 s for \(1024\times 1024\) images, demonstrating low complexity. It offers high security with an entropy value of \(7.9953\) and an overall key space of \({2}^{\text{65,579}}\) making it robust against brute-force attacks. Experimental results on standard images show \(PSNR>243 dB, CC=1\) and \(MSE\approx {10}^{-25}\) for decrypted outputs. The scheme also exhibits strong resistance to differential attacks, with \(NPCR > 99.98\%\) and UACI ≈ 33.3%. These results confirm quality decryption and resilience to occlusion, noise and statistical attacks. Its low complexity and robustness make it a promising solution for secure real-time image transmission.