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math.CO2013
Generalized Hyperfocused Arcs in
A. Blokhuis, G. Marino, F. Mazzocca
A {\em generalized hyperfocused arc} in is an arc of size with the property that the secants can be blocked by a set of points not belo…
math.CO2009
The Finite Field Kakeya Problem
Aart Blokhuis, Francesco Mazzocca
A Besicovitch set in AG(n,q) is a set of points containing a line in every direction. The Kakeya problem is to determine the minimal size of such a set. We solve the Kakeya problem…
math.CO2009
On the structure of 3-nets embedded in a projective plane
Aart Blokhuis, Gábor Korchmáros, Francesco Mazzocca
We investigate finite 3-nets embedded in a projective plane over a (finite or infinite) field of any characteristic p. Such an embedding is regular when each of the three classes o…