Projective \(k\)-arcs and 2-level secret-sharing schemes

DOI10.1007/s10623-011-9562-5zbMath1269.51004OpenAlexW2049048787WikidataQ59249196 ScholiaQ59249196MaRDI QIDQ420627

Gábor Korchmáros, Angelo Sonnino, Valentino Lanzone

Publication date: 22 May 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-011-9562-5

zbMATH Keywords

oval\(k\)-arcequifocused archyperfocused arcsecret-sharing schemesharply focused arc

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25) Communication, information (94A99) Combinatorial structures in finite projective spaces (51E20)

Related Items (13)

Twisted cubic and plane-line incidence matrix in \(\mathrm{PG}(3,q)\) ⋮ Embedding 1-factorizations of \(K_n\) in \(PG(2,32)\) ⋮ Orbits of lines for a twisted cubic 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 \(\mathrm{PG}(3,q)\) ⋮ Arcs in \(\mathrm{AG}(2,q)\) determining few directions ⋮ Generalized threshold secret sharing and finite geometry ⋮ Transitive \(\mathrm{PSL}(2,7)\)-invariant 42-arcs in 3-dimensional projective spaces ⋮ Transitive \(\mathrm{PSL}(2,11)\)-invariant \(k\)-arcs in \(\mathrm{PG}(4,q)\) ⋮ Existence of canonically inherited arcs in Moulton planes of odd order ⋮ A property of the inverse of a subspace of a finite field ⋮ Multilevel secret sharing schemes arising from the normal rational curve ⋮ Inversion and subspaces of a finite field

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Embedding 1-factorizations of \(K_n\) in \(PG(2,32)\)
• Three-level secret sharing schemes from the twisted cubic
• On hyperfocused arcs in \(\mathrm{PG}(2,q)\)
• Inverse-closed additive subgroups of fields
• On the nuclei of a pointset of a finite projective plane
• Ovals in Desarguesian planes of even order
• On 2-level secret sharing
• Hyperfocused arcs
• Note on (q+2)-Sets in A Galois Plane of Order q
• Some Properties of a Sfield

This page was built for publication: Projective \(k\)-arcs and 2-level secret-sharing schemes