Small complete caps in Galois affine spaces

DOI10.1007/s10801-006-0029-0zbMath1115.51005OpenAlexW1992397673MaRDI QIDQ871280

Massimo Giulietti

Publication date: 16 March 2007

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-006-0029-0

zbMATH Keywords

affine spacecomplete capcomplete arc

Mathematics Subject Classification ID

Linear codes and caps in Galois spaces (51E22)

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Upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane based on computer search ⋮ A construction of small complete caps in projective spaces ⋮ Small Complete Caps from Singular Cubics ⋮ Bicovering arcs and small complete caps from elliptic curves ⋮ New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane ⋮ Small complete caps in three-dimensional Galois spaces ⋮ On sizes of complete arcs in \(PG(2,q)\) ⋮ New inductive constructions of complete caps inPG(N, q),qeven ⋮ Small complete caps from singular cubics. II ⋮ Maximum scattered linear sets and complete caps in Galois spaces ⋮ On cyclic caps in 4-dimensional projective spaces ⋮ Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture ⋮ Upper bounds on the smallest size of a complete arc in \(\mathrm{PG}(2, {q})\) under a certain probabilistic conjecture ⋮ Complete caps in AG(3, q) from elliptic curves

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