Stefaan De Winter

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In 1969, Denniston gave a construction of maximal arcs of degree d in Desarguesian projective planes of even order q, for all d dividing q. In 2002 Mathon gave a construction method generalizing the one of Denniston. We will give a new geometric approach to these maximal arcs. This will allow us to count the number of non-isomorphic Mathon maximal arcs of(More)
Let Π = (P, L, I) denote a rank two geometry. In this paper, we are interested in the largest value of |X||Y | where X ⊂ P and Y ⊂ L are sets such that (X ×Y)∩I = ∅. Let α(Π) denote this value. We concentrate on the case where P is the point set of PG(n, q) and L is the set of k-spaces in PG(n, q). In the case that Π is the projective plane PG(2, q),(More)
An argument concerning the isomorphism of certain digraphs leads to a result concerning the number of roots of two trinomials over a finite field of odd characteristic. In turn, this result is generalised via a short proof to produce an unexpected one-to-one correspondence between the image sets of two classes of binomials over finite fields of any(More)