A characterization of the sets of internal and external points of a conic

DOI10.1016/j.ejc.2006.08.004zbMath1126.51010OpenAlexW1994355339MaRDI QIDQ2643840

Nikias de Feyter, de Clerck, Frank

Publication date: 27 August 2007

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.08.004

zbMATH Keywords

conicexternal pointsinternal pointsfinite desarguesian projective planes

Mathematics Subject Classification ID

Finite affine and projective planes (geometric aspects) (51E15) Blocking sets, ovals, (k)-arcs (51E21)

Related Items (9)

The type of a point and a characterization of the set of external points of a conic in PG(2, q), q odd ⋮ A note on sets of type \((0, mq, 2mq)_2\) in \(PG(3, q)\) ⋮ A characterization of the family of secant lines to a hyperbolic quadric in \(\mathrm{PG} ( 3 , q )\), \(q\) odd ⋮ On sets with few intersection numbers in finite projective and affine spaces ⋮ Editorial: Special issue on finite geometries in honor of Frank De Clerck ⋮ Non-existence of sets of type \((0, 1, 2 , n_{d})_{d}\) in \(\mathrm{PG}({r,q})\) with \( 3 \leq d\leq r- 1 \) and \(r\geq 4\) ⋮ A characterization of the set of internal points of a conic in \(\mathrm{PG}(2,q), q\) odd ⋮ A new characterization of projections of quadrics in finite projective spaces of even characteristic ⋮ A characterization of the family of secant lines to a hyperbolic quadric in \(\mathrm{PG}(3,q)\), \(q\) odd. II

Cites Work

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• Projections of quadrics in finite projective spaces of odd characteristic
• Sets of even type in PG(3,4), alias the binary (85,24) projective geometry code
• The Characterization of Projections of Quadrics over Finite Fields of Even Order
• On Type ((q-3)/2,(q-1)/2,q-1) k-Sets in an Affine Plane A2, q
• Sets of Type (1, n, q + 1) in PG(d, q)
• On the Characterization of certain Sets of Points in Finite Projective Geometry of Dimension Three
• Ovals In a Finite Projective Plane

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