Geodesic
On the structure of the directions not determined by a large affine point set
Journal of Algebraic Combinatorics, Tome 38 (2013) no. 4, pp. 889-899.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Given a point set $U$ in an $n$-dimensional affine space of size $q ^{n - 1} - \varepsilon $, we obtain information on the structure of the set of directions that are not determined by $U$, and we describe an application in the theory of partial ovoids of certain partial geometries.
Classification : 51E20, 51E14
Keywords: directions in an affine space, partial ovoids, partial geometries. 
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     title = {On the structure of the directions not determined by a large affine point set},
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De Beule, Jan; Sziklai, Péter; Takáts, Marcella. On the structure of the directions not determined by a large affine point set. Journal of Algebraic Combinatorics, Tome 38 (2013) no. 4, pp. 889-899. http://geodesic.mathdoc.fr/item/JAC_2013__38_4_a5/