In this paper we present a key exchange protocol in which Alice and Bob have secret keys given by two conics embedded in a large ambient space by means of the Veronese embedding and public keys given by hyperplanes containing the embedded curves. Both of them construct some common invariants given by the intersection of two conics.
A post-quantum key exchange protocol from the intersection of conics / A. Alzati, D. Di Tullio, M. Gyawali, A. Tortora. - In: JOURNAL OF SYMBOLIC COMPUTATION. - ISSN 0747-7171. - (2024). [Epub ahead of print] [10.1016/j.jsc.2024.102343]
A post-quantum key exchange protocol from the intersection of conics
A. Alzati
Primo
;A. TortoraUltimo
2024
Abstract
In this paper we present a key exchange protocol in which Alice and Bob have secret keys given by two conics embedded in a large ambient space by means of the Veronese embedding and public keys given by hyperplanes containing the embedded curves. Both of them construct some common invariants given by the intersection of two conics.
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