论文标题
Quantum键交换方案从四边形的交叉点
A post-quantum key exchange protocol from the intersection of quadric surfaces
论文作者
论文摘要
在本文中，我们提出了一个钥匙交换协议，其中爱丽丝和鲍勃在嵌入了较大的环境空间中的四边形表面给出的秘密键，通过veronese嵌入和公共钥匙，由含有嵌入式四边形的超级平面和公共钥匙。他们俩都重建了十字路口的同构类别，这是属1的曲线，该曲线由$ j $ invariant唯一决定。为了找到这个$ j $ invariant的窃听者，必须解决抗量子性量子的问题。
In this paper we present a key exchange protocol in which Alice and Bob have secret keys given by quadric surfaces embedded in a large ambient space by means of the Veronese embedding and public keys given by hyperplanes containing the embedded quadrics. Both of them reconstruct the isomorphism class of the intersection which is a curve of genus 1, which is uniquely determined by the $j$-invariant. An eavesdropper, to find this $j$-invariant, has to solve problems which are conjecturally quantum resistant.
