Multilevel secret sharing schemes arising from the normal rational curve

DOI10.1016/J.DAM.2020.03.030zbMath1457.94200OpenAlexW3014310871MaRDI QIDQ777375

Angelo Sonnino, Gábor Korchmáros, Stefania Caputo

Publication date: 7 July 2020

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2020.03.030

zbMATH Keywords

arcprojective spacesecret-sharing schemenormal rational curveosculating subspace

Mathematics Subject Classification ID

Cryptography (94A60) Authentication, digital signatures and secret sharing (94A62)

Related Items (3)

Twisted cubic and plane-line incidence matrix in \(\mathrm{PG}(3,q)\) ⋮ Orbits of the class \(\mathcal{O}_6\) of lines external to the twisted cubic in \(\mathrm{PG}(3, q)\) ⋮ Incidence matrices for the class \({\mathcal{O}}_6\) of lines external to the twisted cubic in \(\mathrm{PG}(3,q)\)

Uses Software

• Magma

Cites Work

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• Arcs in \(\mathrm{AG}(2,q)\) determining few directions
• Efficient explicit constructions of multipartite secret sharing schemes
• Hyperfocused arcs
• On the Representability of the Biuniform Matroid
• How to share a secret
• General Galois Geometries
• Linear algebra approach to secret sharing schemes
• Ideal Hierarchical Secret Sharing Schemes

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