On the size of complete caps in PG\((3,2^{h}\))

DOI10.1016/J.FFA.2003.08.005zbMath1050.51008OpenAlexW1978318680MaRDI QIDQ596582

Storme, L., Sandy Ferret

Publication date: 10 August 2004

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2003.08.005

Mathematics Subject Classification ID

Linear codes and caps in Galois spaces (51E22)

Related Items (3)

Caps in \(\mathrm{PG}(n,q)\) with \(q\) even and \(n\geq 3\) ⋮ Complete \((q^2+q+8)/2\)-caps in the spaces \(\mathrm{PG}(3,q)\), \(q\equiv 2 \pmod 3\) an odd prime, and a complete 20-cap in \(\mathrm{PG}(3,5)\) ⋮ On sizes of complete caps in projective spaces \(\mathrm{PG}(n, q)\) and arcs in planes \(\mathrm{PG}(2, q)\)

Cites Work

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• On the size of a cap in \(\text{PG} (n,q)\) with \(q\) even and \(n\geq 3\)
• The largest cap in \(AG\)(4, 4) and its uniqueness
• Linear independence in finite spaces
• Classification of maximal caps in PG(3,5) different from elliptic quadrics
• A family of complete arcs in finite projective planes
• Bounds on affine caps

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