论文标题
使用椭圆曲线和Rossby/漂流波三合会的图像加密
Image Encryption Using Elliptic Curves and Rossby/Drift Wave Triads
论文作者
论文摘要
我们提出了一个基于准共鸣的Rossby/漂移波三合会（与椭圆表面有关）和Mordell椭圆曲线（MEC）的图像加密方案。通过定义准共鸣三合会的总顺序，在第一阶段，我们使用椭圆表面的辅助参数构建准共晶三合会，以生成伪随机数。在第二阶段，我们采用MEC来构建一个动态替代盒（S-box）为普通图像构建。生成的伪随机数和S-box分别用于在测试的图像中提供扩散和混乱。我们通过加密从USC-SIPI图像数据库拍摄的所有灰色图像来测试针对众所周知攻击的建议方案。我们的实验结果表明了新开发的方案的高度安全性。最后，通过广泛的比较，我们表明新方案的表现优于其他流行方案。
We propose an image encryption scheme based on quasi-resonant Rossby/drift wave triads (related to elliptic surfaces) and Mordell elliptic curves (MECs). By defining a total order on quasi-resonant triads, at a first stage we construct quasi-resonant triads using auxiliary parameters of elliptic surfaces in order to generate pseudo-random numbers. At a second stage, we employ an MEC to construct a dynamic substitution box (S-box) for the plain image. The generated pseudo-random numbers and S-box are used to provide diffusion and confusion, respectively, in the tested image. We test the proposed scheme against well-known attacks by encrypting all gray images taken from the USC-SIPI image database. Our experimental results indicate the high security of the newly developed scheme. Finally, via extensive comparisons we show that the new scheme outperforms other popular schemes.
