A post-quantum key exchange protocol from the intersection of quadric surfaces

被引：0

作者：

Tullio, Daniele Di ^{[1
]}

Gyawali, Manoj ^{[1
]}

机构：

[1] Univ Roma Tre, Dept Math, Largo S Leonardo Murialdo 1, Rome, Italy

来源：

JOURNAL OF SUPERCOMPUTING | 2023年 / 79卷 / 15期

基金：

欧盟地平线“2020”;

关键词：

Post-quantum cryptography; Quadric surfaces; Veronese embedding; Segre embedding;

D O I：

10.1007/s11227-023-05146-x

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, we present a new 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, and is uniquely determined by the j-invariant. An eavesdropper, to find this j-invariant, has to solve problems which are conjecturally quantum-resistant.

引用

页码：16529 / 16558

页数：30

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