A fast and secure public-key image encryption scheme based on Mordell elliptic curves
A fast and secure public-key image encryption scheme based on Mordell elliptic curves
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DOI：
10.1016/j.optlaseng.2020.106371
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发表时间：
2021-02-01
影响因子：
4.6
通讯作者：
Hayat, Umar
中科院分区：
文献类型：
--
作者：
Azam, Naveed Ahmed;Ullah, Ikram;Hayat, Umar
基于椭圆曲线的加密方案对现代密码分析具有很强的抵抗力。然而，这些方案涉及用于在EC上生成点的繁重计算，因此它们不适合于诸如传感器网络和物联网的通信系统。因此，我们提出了一个快速和安全的公钥图像加密方案。在这个方案中，发送者和接收者同意一个公共EC。然后，该计划执行像素掩蔽和像素置乱过程中使用的随机数和一个动态的替代盒的EC是同构的公共EC。对于一个固定的公共EC，我们证明了我们的计划有一个计算复杂度，是一个plylogarithmetic函数的大小的纯文本。换句话说，我们的计划的计算复杂度是独立的点生成EC。我们通过加密USC-SIPI图像数据库中的所有标准图像来测试我们的方案对现代攻击的安全性。与现有的密码体制相比，该方案具有速度快、安全性高等优点。
Encryption schemes based on elliptic curves (ECs) have shown high resistance against modern cryptanalysis. However, these schemes involve heavy computation for the generation of points over ECs, and therefore they are not suitable for communication systems such as sensor networks and Internet of Things. Thus, we propose a fast and secure public-key image encryption scheme. In this scheme, the sender and receiver agree on a public EC. Then the scheme performs pixel-masking and pixel-scrambling procedures using random numbers and a dynamic substitution box over ECs that are isomorphic to the public EC. For a fixed public EC, we prove that our scheme has a computational complexity that is a polylogarithmic function of the size of the plain text. In other words, the computational complexity of our scheme is independent of the point generation over ECs. We tested the security of our scheme against modern attacks by encrypting all standard images in the USC-SIPI image database. Compared to some state-of-the-art cryptosystems, our scheme is fast and has high security.