论文标题
节点曲线的应用
An Application of Nodal Curves
论文作者
论文摘要
在这项工作中,我们提出了一种在特殊单数曲线的广义雅各布中计算的有效方法,即节点曲线。操作的效率是由于单个多项式在雅各布基团中的元素表示。此外,我们提出了一种概率的公钥算法作为节点曲线的应用。
In this work, we present an efficient method for computing in the generalized Jacobian of special singular curves, nodal curves. The efficiency of the operation is due to the representation of an element in the Jacobian group by a single polynomial. In addition, we propose a probabilistic public key algorithm as an application of nodal curves.