A post-quantum key exchange protocol from the intersection of quadric surfaces
Cryptography and Security
2020-05-29 v1 Algebraic Geometry
Abstract
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 -invariant. An eavesdropper, to find this -invariant, has to solve problems which are conjecturally quantum resistant.
Cite
@article{arxiv.2005.13606,
title = {A post-quantum key exchange protocol from the intersection of quadric surfaces},
author = {Daniele Di Tullio and Manoj Gyawali},
journal= {arXiv preprint arXiv:2005.13606},
year = {2020}
}
Comments
20 pages, no figures