基于二次曲面交的后量子密钥交换协议
A post-quantum key exchange protocol from the intersection of quadric surfaces
摘要：
在本文中，我们提出了一个密钥交换协议，其中Alice和Bob的秘密密钥由嵌入在一个大的环境空间中的Veronese嵌入的二次曲面和包含嵌入的二次曲面的超平面给出的公钥。这两种方法都重构了亏格为1的曲线的交线的同构类，而亏格为1的曲线是由$j$ -不变量唯一确定的。窃听者要找到这个$j$ -不变量，必须解决量子理论上的问题。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
