Upper bounds on the smallest size of a complete cap in \(\mathrm{PG}(3, q)\) and \(\mathrm{PG}(4, q)\)

DOI10.1016/j.endm.2017.02.005zbMath1430.51008OpenAlexW2596082009MaRDI QIDQ1743271

Daniele Bartoli, Stefano Marcugini, Alexey A. Kreshchuk, Fernanda Pambianco, Alexander A. Davydov

Publication date: 13 April 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2017.02.005

zbMATH Keywords

upper boundsprojective spacessmall complete caps

Mathematics Subject Classification ID

Combinatorial structures in finite projective spaces (51E20)

Related Items (1)

Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture

Cites Work

• On sizes of complete caps in projective spaces \(\mathrm{PG}(n, q)\) and arcs in planes \(\mathrm{PG}(2, q)\)
• Small complete arcs in projective planes
• A construction of small complete caps in projective spaces
• Small complete caps in three-dimensional Galois spaces
• Complete caps in AG(3, q) from elliptic curves
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