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Maximal arcs in PG(2, q) and partial flocks of the quadratic cone
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Veröffentlicht/Copyright:
8. Mai 2006
Abstract
In this paper we show that there are several other structures that arise from the functions associated with the maximal arcs of Mathon type. So it is shown that maximal arcs of Mathon type are equivalent to additive partial flocks of the quadratic cone in PG(3,q) and to additive partial q-clans. Further they yield partial ovoids of Q+(5,q) partial spreads of lines of PG(3,q), translation k-arcs of PG(2,q) and m-ovoids of a certain classical generalized quadrangle.
Received: 2003-05-20
Published Online: 2006-05-08
Published in Print: 2006-01-26
© Walter de Gruyter
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Artikel in diesem Heft
- One jump Weierstrass gap sequence
- Finite projective planes of order n with a 2-transitive orbit of length n – 3
- Maximal arcs in PG(2, q) and partial flocks of the quadratic cone
- The geometry of k-harmonic manifolds
- Radii minimal projections of polytopes and constrained optimization of symmetric polynomials
- On the distance between the axes of elliptic elements generating a free product of cyclic groups
- Bad loci of free linear systems
- CR singularities of real threefolds in ℂ4
- Computation of the z-radical in C(X)
Artikel in diesem Heft
- One jump Weierstrass gap sequence
- Finite projective planes of order n with a 2-transitive orbit of length n – 3
- Maximal arcs in PG(2, q) and partial flocks of the quadratic cone
- The geometry of k-harmonic manifolds
- Radii minimal projections of polytopes and constrained optimization of symmetric polynomials
- On the distance between the axes of elliptic elements generating a free product of cyclic groups
- Bad loci of free linear systems
- CR singularities of real threefolds in ℂ4
- Computation of the z-radical in C(X)
