Abstract
AbstractIn this paper we study the number of special directions of sets of cardinality divisible by p on a finite plane of order p, where p is a prime. We show that there is no such a set with exactly two special directions. We characterise sets with exactly three special directions which answers a question of Ghidelli in negative. Further we introduce methods to construct sets of minimal cardinality that have exactly four special directions for small values of p.
Funder
Fulbright Association
Magyar Állami Eötvös Ösztöndíj
OTKA
János Bolyai ösztöndíj
Bolyai +
Eötvös Loránd University
Publisher
Springer Science and Business Media LLC
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