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

arXiv2005.13606MaRDI QIDQ6341559

Publication date: 27 May 2020

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

j

-invariant. An eavesdropper, to find this

j

-invariant, has to solve problems which are conjecturally quantum resistant.

Has companion code repository: https://github.com/mgyawali/QSI-Key-Exchange

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