On sizes of complete arcs in \(PG(2,q)\)
From MaRDI portal
Publication:658122
DOI10.1016/j.disc.2011.07.002zbMath1235.51012arXiv1011.3347OpenAlexW2962759307MaRDI QIDQ658122
Alexander A. Davydov, Fernanda Pambianco, Stefano Marcugini, Giorgio Faina, Daniele Bartoli
Publication date: 11 January 2012
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1011.3347
projective planecomplete arcssmall complete arcscomputer assisted searchspectrum of complete arc sizes
Related Items
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 the Structure of Semiovals of Small Size, Transitive \(A_6\)-invariant \(k\)-arcs in \(\mathrm{PG}(2,q)\), New upper bounds on the smallest size of a complete arc in a finite Desarguesian projective plane, 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 \(\mathrm{PG}(2,16)\), Existence of canonically inherited arcs in Moulton planes of odd order, The Complete Arcs of PG(2,31), Upper bounds on the smallest size of a complete cap in $\mathrm{PG}(N,q)$, $N\ge3$, under a certain probabilistic conjecture, 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
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Linear nonbinary covering codes and saturating sets in projective spaces
- On the completeness of certain plane arcs. II
- Le geometrie di Galois
- New examples of complete k-arcs in PG(2,q)
- Small complete caps in Galois affine spaces
- Infinite family of large complete arcs in PG\((2, q ^{n })\), with \(q\) odd and \(n > 1\) odd
- Arcs with large conical subsets
- 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 sharply transitive sets in \(\mathrm{PG}(2,g)\).
- Arcs in cyclic affine planes
- On sizes of complete caps in projective spaces \(\mathrm{PG}(n, q)\) and arcs in planes \(\mathrm{PG}(2, q)\)
- Small complete arcs in Galois planes
- Note on the order of magnitude of k for complete k-arcs in PG(2,q)
- On the spectrum of the values \(k\) for which a complete \(k\)-cap in \(PG(n,q)\) exists
- The packing problem in statistics, coding theory and finite projective spaces
- On small dense arcs in Galois planes of square order
- Complete arcs arising from conics
- Small complete arcs in projective planes
- On some 10-arcs for deriving the minimum order for complete arcs in small projective planes
- A small complete arc in \(\text{PG}(2,q)\), \(q=p^2\), \(p\equiv 3\pmod 4\)
- A class of complete \(k\)-caps of small cardinality in projective spaces over fields of characteristic three
- Small minimal blocking sets and complete \(k\)-arcs in PG\((2,p^3)\)
- Small complete caps in PG\((2,q)\), for \(q\) an odd square
- Computer search for small complete caps
- Problems and algorithms for covering arrays
- Complete caps in projective spaces PG\((n,q)\)
- A class of complete \(k\)-caps in \(PG(3,q)\) for \(q\) an odd prime
- Computer search in projective planes for the sizes of complete arcs
- On arcs sharing the maximum number of points with ovals in cyclic affine planes of odd order
- New inductive constructions of complete caps inPG(N, q),qeven
- Sur Les K-Arcs Complets Des Plans De Galois D'Ordre Impair
- Small complete caps in PG(N, q), q even
- Types of superregular matrices and the number of n‐arcs and complete n‐arcs in PG (r, q)