5 papers
Reconstructing a generalized quadrangle from the Penttila-Williford class association scheme
Giusy Monzillo, Alessandro Siciliano
Penttila and Williford constructed a class association scheme from a generalized quadrangle with a doubly subtended subquadrangle. We show that an association scheme with appro…
Reconstructing a generalized quadrangle with a hemisystem from a class association scheme
Giusy Monzillo
In 2013, van Dam, Martin and Muzychuk constructed a cometric antipodal class association scheme from a GQ of order , odd, which have a hemisystem. In this pap…
Classification of flocks of the quadratic cone in PG(3,64)
Giusy Monzillo, Tim Penttila, Alessandro Siciliano
Flocks are an important topic in the field of finite geometry, with many relations with other objects of interest. This paper is a contribution to the difficult problem of classify…
Pseudo-ovals of elliptic quadrics as Delsarte designs of association schemes
John Bamberg, Giusy Monzillo, Alessandro Siciliano
A - of a finite projective space over a finite field of odd order is a configuration of equidimensional subspaces that is essentially equivalent to a translation…
On the isomorphism of certain primitive -polynomial not -polynomial association schemes
Giusy Monzillo, Alessandro Siciliano
In 2011, Penttila and Williford constructed an infinite new family of primitive -polynomial 3-class association schemes, not arising from distance regular graphs, by exploring t…