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N Hamilton, J. A Thas

Maximal arcs in PG(2, q) and partial flocks of the quadratic cone

Keywords: Maximal arc, flock, q-clan, k-arc, m-ovoid

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.

Advances in Geometry, Walter de Gruyter

Print ISSN: 1615-715X
Volume: 6, 01/2006
Pages: 39 - 51

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