On complete caps different from ovaloids of the space \(PG(3,q)\), \(q\) odd

DOI10.1007/BF02844729zbMath0911.51014MaRDI QIDQ1389826

Giuseppe Pellegrino

Publication date: 28 April 1999

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

zbMATH Keywords

capsprojective spaces

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)

Related Items (5)

A construction of small complete caps in projective spaces ⋮ Small complete caps in three-dimensional Galois spaces ⋮ 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 \(\mathrm{PG}(2, q)\) ⋮ Complete caps in AG(3, q) from elliptic curves

Cites Work

• Sulle \(k\)-calotte di uno spazio lineare finito
• Le geometrie di Galois
• Proprieta elementari relative ai segmenti ed alle coniche sopra un campo qualsiasi ed una congettura di Seppo Ilkka per il caso dei campi di Galois
• A class of complete \(k\)-caps in \(PG(3,q)\) for \(q\) an odd prime
• Bemerkungen über die Verteilung der quadratischen Reste
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