This work introduces a novel and more efficient image encryption scheme, that deploys Fresnelet diffraction in the wave-propagation domain in conjunction with image scrambling effect, based on a specific elliptic curve group, that substantially reduces the computational cost for the desired outcome. Significantly elevated security of the encrypted image is guaranteed by highly complex algebraic structure of the elliptic curve over the Galois field \(\mathbb {F}_{2}^{4}\), in association with Fresnelet transform-based data-decomposition. At first stage, the proposed scheme, propagates confidential information, with selected wavelength at ceratin specific distance, using the Fresnelet transform. During this process confidential data decomposes into four complex sub-bands. We further separate these sub-bands into real and imaginary sub-band data. Then, at the second stage, elliptic curve group law is deployed to add confusion by scrambling the net sub-band data. The security and quality of the presented technique is examined through highly significant tools and we prove that when compared with other prevailing schemes, the proposed scheme offers coherent outcomes.

这项工作介绍了一种新颖，更有效的图像加密方案，该方案基于特定的椭圆曲线组，将Fresnelet衍射与图像加扰效果结合在波传播域中使用，从而大大降低了所需结果的计算成本。通过Galois场\（\ mathbb {F} _ {2} ^ {4} \）上椭圆曲线的高度复杂的代数结构，可以确保加密图像的安全性显着提高。，结合基于Fresnelet变换的数据分解。在第一阶段，所提出的方案使用Fresnelet变换以机密的特定距离传播选定波长的机密信息。在此过程中，机密数据分解为四个复杂的子带。我们进一步将这些子带分为实部和虚部子带数据。然后，在第二阶段，利用椭圆曲线群定律通过加扰净子带数据来增加混淆。通过非常重要的工具检查了所提出技术的安全性和质量，我们证明与其他流行方案相比，所提出的方案具有一致的结果。