In the first two articles of this series, the structure of certain minihypers was determined. Hamada shows how these results translate into results on linear codes meeting the Griesmer bound, whileâ€¦ (More)

Wegeneralize and complete several characterizations of the finite quadric Veroneseans surveyed in Hirschfeld and Thas, General Galois Geometries , OUP, 1991. Our main result is a characterization ofâ€¦ (More)

We show that the automorphism group of a geometry defined by the generalized Suzuki groups is contained in the automorphism group of the corresponding Suzuki group. This shows that the study of theseâ€¦ (More)

We define a regular m-partition of a distance regular graph as a partition of the vertex set into m classes, such that the number of vertices of a given class adjacent to a fixed vertex of anotherâ€¦ (More)

Suppose that an automorphism group G acts flag-transitively on a finite generalized hexagon or octagon S, and suppose that the action on both the point and line set is primitive. We show that G is anâ€¦ (More)

It is shown that every automorphism of classical unitals over certain (not necessarily commutative) fields is induced by a semi-similitude of a corresponding hermitian form. In particular, this isâ€¦ (More)

In this paper, we prove that every lax generalized Veronesean embedding of the Hermitian unital U of PG(2, L), L a quadratic extension of the field K and |K| â‰¥ 3, in a PG(d, F), with F any field andâ€¦ (More)

In this paper we define generalised spheres in buildings using the simplicial structure and Weyl distance in the building, and we derive an explicit formula for the cardinality of these spheres. Weâ€¦ (More)

In this paper, we classify all generalized quadrangles weakly embedded of degree 2 in projective space. More exactly, given a (possibly infinite) generalized quadrangle Î“ = (P,L, I ) and a map Ï€ fromâ€¦ (More)