论文标题
在定向的超椭圆形曲线上
On oriented supersingular elliptic curves
论文作者
论文摘要
我们重新访问了Osidh的理论背景，这是Colò和Kohel在Nutmic 2019上提出的一种基于同一基础的密钥交换协议。我们给出了osidh的基本定理的证明。该定理由Colò和Kohel表示，没有证据。此外，我们考虑OSIDH的参数，在协议工作的参数上给出足够的条件，并估算特定安全级别的参数大小。
We revisit theoretical background on OSIDH, that is an isogeny-based key-exchange protocol proposed by Colò and Kohel at NutMiC 2019. We give a proof of a fundamental theorem for OSIDH. The theorem was stated by Colò and Kohel without proof. Furthermore, we consider parameters of OSIDH, give a sufficient condition on the parameters that the protocol works, and estimate the size of the parameters for a certain security level.
