论文标题
定向肾小管质量启动图
Orienting supersingular isogeny graphs
论文作者
论文摘要
我们介绍了$ \ Mathcal {O} $ - 方向uperliptipiccurves的类别，并得出了相关的方向和非方向和非方向的$ \ ell $ - 发育性的超级差异图。作为应用程序，我们引入了一种定向的超细性的差异差异 - 透明师协议（OSIDH），类似于超级等级的差异 - 差异 - 赫尔曼（SIDH）方案，并概括了交换性超强的等值差异差异 - 差异 - 差异赫尔曼（CSIDH）方案。
We introduce a category of $\mathcal{O}$-orientedsupersingularellipticcurves and derive properties of the associated oriented and nonoriented $\ell$-isogeny supersingular isogeny graphs. As an application we introduce an oriented super-singular isogeny Diffie-Hellman protocol (OSIDH), analogous to the supersingular isogeny Diffie-Hellman (SIDH) protocol and generalizing the commutative supersingular isogeny Diffie-Hellman (CSIDH) protocol.
