Cryptology ePrint Archive: Report 2020/628

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

Daniele Di Tullio and Manoj Gyawali

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.

Category / Keywords: cryptographic protocols / Quadric surfaces, Veronese embedding, Segre embedding, Post-quantum cryptography

Date: received 27 May 2020

Contact author: danieleditullio at hotmail it,manoj gyawali@ncit edu np

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Version: 20200603:093309 (All versions of this report)

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