Construction of caps by means of caps in complementary subspaces

DOI10.1016/J.DISC.2007.12.086zbMath1162.51001OpenAlexW1975293746MaRDI QIDQ998545

Hans-Joachim Kroll, Rita Vincenti

Publication date: 28 January 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.12.086

zbMATH Keywords

capsfree pair of points

Mathematics Subject Classification ID

Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

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Cites Work

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• Caps with free pairs of points
• On a set of lines of \(PG(3,q)\) corresponding to a maximal cap contained in the Klein quadric of \(PG(5,q)\).
• \(2^{n-m}\) designs with resolution III or IV containing clear two-factor interactions
• 41 is the largest size of a cap in \(PG(4, 4)\)
• New upper bounds for the sizes of caps in finite projective spaces

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