A post-quantum key exchange protocol from the intersection of conics

Alberto Alzati; Daniele Di Tullio; Manoj Gyawali; Alfonso Tortora

doi:10.1016/j.jsc.2024.102343

A post-quantum key exchange protocol from the intersection of conics

Alberto Alzati
, Daniele Di Tullio
, Manoj Gyawali
, Alfonso Tortora

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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.

Original language	English
Article number	102343
Journal	Journal of Symbolic Computation
Volume	126
DOIs	https://doi.org/10.1016/j.jsc.2024.102343
Publication status	Published - 1 Jan 2025

Keywords

Conics
Post-quantum cryptography
Veronese embedding

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10.1016/j.jsc.2024.102343

Cite this

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title = "A post-quantum key exchange protocol from the intersection of conics",

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.",

keywords = "Conics, Post-quantum cryptography, Veronese embedding",

author = "Alberto Alzati and \{Di Tullio\}, Daniele and Manoj Gyawali and Alfonso Tortora",

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year = "2025",

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T1 - A post-quantum key exchange protocol from the intersection of conics

AU - Alzati, Alberto

AU - Di Tullio, Daniele

AU - Gyawali, Manoj

AU - Tortora, Alfonso

PY - 2025/1/1

Y1 - 2025/1/1

N2 - 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.

AB - 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.

KW - Conics

KW - Post-quantum cryptography

KW - Veronese embedding

UR - https://www.scopus.com/pages/publications/85197612713

U2 - 10.1016/j.jsc.2024.102343

DO - 10.1016/j.jsc.2024.102343

M3 - Article

AN - SCOPUS:85197612713

SN - 0747-7171

VL - 126

JO - Journal of Symbolic Computation

JF - Journal of Symbolic Computation

M1 - 102343

ER -

A post-quantum key exchange protocol from the intersection of conics

Abstract

Keywords

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