An intriguing set of points of a generalised quadrangle was introduced in [2] as a unification of the pre-existing notions of tight set and m-ovoid. It was shown in [2] that every intriguing set ofâ€¦ (More)

In this paper, we construct the first known infinite family of primitive Qpolynomial schemes which are not generated by distance-regular graphs. To construct these examples, we introduce the notionâ€¦ (More)

Apart from hyperovals and their duals there are only three classes of maximal arcs known in Desarguesian projective planes. Two classes are due to J. A. Thas and one to R. H. F. Denniston. In thisâ€¦ (More)

This paper completes the classification of antipodal distance-transitive covers of the complete bipartite graphs K k , k , where k > 3 . For such a cover the antipodal blocks must have size r < k .â€¦ (More)

An oÂŠoid in a 3-dimensional projective geometry PG(3, q) over the field GF(q), where q is a prime power, is a set of q#Â1 points no three of which are collinear. Because of their connections withâ€¦ (More)

For q = 2e, e â‰¥ 4, the Subiaco construction introduced in [2] provides one qâ€“clan, one flock, and for e 6â‰¡ 2 (mod 4), one oval in PG(2, q). When e â‰¡ 2 (mod 4), there are two inequivalent ovals. Theâ€¦ (More)

We complete the classification of flocks of the quadratic cone in PG(3, q) for q < 29, by showing by computer that there are exactly 8 flocks of the quadratic cone in PG(3,19), 18 flocks of theâ€¦ (More)

Let PG( n , q ) denote the n -dimensional projective space over the finite field GF( q ) . An o y oid of PG(3 , q ) is a set of q 2 1 1 points of PG(3 , q ) , no three of which are collinear . In theâ€¦ (More)