Partitions of \(\mathrm{AG}(4, 3)\) into maximal caps

DOI10.1016/j.disc.2014.08.002zbMath1301.05052arXiv1302.4703OpenAlexW2030719229MaRDI QIDQ465267

Kyle Kalail, Robert Won, Michael Follett, Catherine Pelland, Elizabeth W. McMahon

Publication date: 31 October 2014

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

Full work available at URL: https://arxiv.org/abs/1302.4703

zbMATH Keywords

affine transformationsfinite affine geometrymaximal caps

Mathematics Subject Classification ID

Combinatorial aspects of finite geometries (05B25)

Related Items (3)

How many cards should you lay out in a game of \textit{EvenQuads}: a detailed study of caps in \(\mathrm{AG}(n, 2)\) ⋮ Sidon sets and 2-caps in \(\mathbb{F}_3^n\) ⋮ Demicaps in \(\mathrm{AG}(4,3)\) and maximal cap partitions

Uses Software

• GAP
• Mathematica

Cites Work

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• Maximal caps in \(\mathrm{AG}(6,3)\).
• The card game SET.
• The classification of the largest caps in AG(5, 3)
• Projective Geometries that are Disjoint Unions of Caps
• Partitions of finite affine geometries into caps
• Partitioning Projective Geometries into Caps
• On Pellegrino's 20-Caps in S4, 3

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