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- Stefaan De Winter
- J. Comb. Theory, Ser. A
- 2004

- M. Cimráková, Stefaan De Winter, Veerle Fack, Leo Storme
- Eur. J. Comb.
- 2007

We present results on the size of the smallest maximal partial ovoids and on the size of the smallest maximal partial spreads of the generalized quadrangles W (q) and Q(4, q).

- Frank De Clerck, Stefaan De Winter, Thomas Maes
- J. Comb. Theory, Ser. A
- 2011

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)

- Stefaan De Winter, Jeroen Schillewaert, Jacques Verstraëte
- Electr. J. Comb.
- 2012

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)

- Stefaan De Winter, Koen Thas
- Des. Codes Cryptography
- 2006

In this note we characterize thick finite generalized quadrangles constructed from a generalized hyperoval as those admitting an abelian Singer group, i.e., an abelian group acting regularly on the points.

- Stefaan De Winter, Joseph A. Thas
- Des. Codes Cryptography
- 2004

- Stefaan De Winter, Felix Lazebnik, Jacques Verstraëte
- Electr. J. Comb.
- 2008

In this article, we prove that amongst all n by n bipartite graphs of girth at least six, where n = q 2 + q + 1 ≥ 157, the incidence graph of a projective plane of order q, when it exists, has the maximum number of cycles of length eight. This characterizes projective planes as the partial planes with the maximum number of quadrilaterals.

3 Multi-step majority logic decoding and the modified finite geometry designs. 39

- Stefaan De Winter, Jeroen Schillewaert
- Combinatorica
- 2010

- Frank De Clerck, Stefaan De Winter, Thomas Maes
- Des. Codes Cryptography
- 2012

In [3] De Clerck, De Winter and Maes counted the number of non-isomorphic Mathon maximal arcs of degree 8 in PG(2, 2 h), h = 7 and prime. In this article we will show that in PG(2, 2 7) a special class of Mathon maximal arcs of degree 8 arises which admits a Singer group (i.e. a sharply transitive group) on the 7 conics of these arcs. We will give a… (More)