6 papers · 1 filter
Results on partial geometries with an abelian Singer group of rigid type
Stefaan De Winter, Ellen Kamischke, Eric Neubert +1
A partial geometry admitting an abelian Singer group is called of rigid type if all lines of have a trivial stabilizer in . In this paper, we show that if a partial…
Intriguing sets in distance regular graphs
Stefaan De Winter, Klaus Metsch
We construct an infinite family of intriguing sets that are not tight in the Grassmann Graph of planes of PG, odd, and show that the members of the family are the s…
Maximal arcs and extended cyclic codes
Stefaan De Winter, Cunsheng Ding, Vladimir D. Tonchev
It is proved that for every such that divides , where is a power of 2, there exists a Denniston maximal arc of degree in $\PG(2,q)$, being invariant…
Non-existence of partial difference sets of order 8p^3 in Abelian groups
Stefaan De Winter, Zeying Wang
In this paper we prove non-existence of nontrivial partial difference sets in Abelian groups of order 8p^3, where p \geq 3 is a prime number.
Non-existence of two types of partial difference sets
Stefaan De Winter, Eric Neibert, Zeying Wang
In this note we prove the non-existence of two types of partial difference sets in Abelian groups of order 216. This finalizes the classification of parameters for which a partial…
Singer 8-arcs of Mathon type in PG(2,2^7)
Frank De Clerck, Stefaan De Winter, Thomas Maes
In a former paper the authors counted the number of non-isomorphic Mathon maximal arcs of degree 8 in PG(2,2^h), h not 7 and prime. In this paper we will show that in PG(2,2^7) a s…