A classification of hyperfocused 12-arcs

DOI10.1007/s00373-022-02547-2zbMath1497.51006arXiv2105.08300OpenAlexW3162667188MaRDI QIDQ2674385

Stephen G. Hartke, Jason S. Williford, Philip Deorsey

Publication date: 12 September 2022

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.08300

zbMATH Keywords

projective plane1-factorizationshyperfocused arcssecret sharing scheme

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Uses Software

• GitHub

Cites Work

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• Embedding 1-factorizations of \(K_n\) in \(PG(2,32)\)
• On hyperfocused arcs in \(\mathrm{PG}(2,q)\)
• Ovals and hyperovals in Desarguesian nets
• Hyperfocused arcs
• There are 1,132,835,421,602,062,347 nonisomorphic one-factorizations ofK₁₄
• Note on (q+2)-Sets in A Galois Plane of Order q
• There are 526,915,620 nonisomorphic one‐factorizations of K₁₂

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