New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane
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Publication:1956326
DOI10.1007/s00022-013-0154-6zbMath1270.51006arXiv1111.3403OpenAlexW2074097394MaRDI QIDQ1956326
Daniele Bartoli, Fernanda Pambianco, Stefano Marcugini, Alexander A. Davydov, Giorgio Faina
Publication date: 13 June 2013
Published in: Journal of Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.3403
Linear codes (general theory) (94B05) Finite affine and projective planes (geometric aspects) (51E15) Linear codes and caps in Galois spaces (51E22) Blocking sets, ovals, (k)-arcs (51E21)
Related Items (10)
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 ⋮ On Small Complete Arcs and Transitive A5-Invariant Arcs in the Projective Plane PG(2,q) ⋮ On the minimum size of complete arcs and minimal saturating sets in projective planes ⋮ The non-existence of some NMDS codes and the extremal sizes of complete \((n,3)\)-arcs in \(\mathrm{PG}(2,16)\) ⋮ Open problems in finite projective spaces ⋮ Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture ⋮ Lower and upper bounds for some generalized arcs ⋮ New types of estimates for the smallest size of complete arcs in a finite Desarguesian projective plane ⋮ Upper bounds on the smallest size of a complete arc in \(\mathrm{PG}(2, {q})\) under a certain probabilistic conjecture
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