23 citations · 138 across the 38 of their papers we have counts for
47 papers
There are no sharply transitive subsets of for
John Bamberg, Sam Mattheus
It was known at least to L.E. Dickson in 1901 that , in its natural action on , has a sharply transitive subgroup only when $q\in\{2…
Every special set of the Hermitian surface is classical
John Bamberg, Ethan Kealley
Special sets of the Hermitian surface , odd, were introduced by Shult and Thas (1995) in order to construct new finite generalised quadrangles, yet only one…
Affine vector space partitions
John Bamberg, Yuval Filmus, Ferdinand Ihringer +1
An affine vector space partition of is a set of proper affine subspaces that partitions the set of points. Here we determine minimum sizes and enumerate eq…
Separating rank 3 graphs
John Bamberg, Michael Giudici, Jesse Lansdown +1
We classify, up to some notoriously hard cases, the rank 3 graphs which fail to meet either the Delsarte or the Hoffman bound. As a consequence, we resolve the question of separati…
Codes and Designs in Johnson Graphs From Symplectic Actions on Quadratic Forms
John Bamberg, Alice Devillers, Mark Ioppolo +1
The Johnson graph has as vertices the -subsets of , and two vertices are joined by an edge if their intersection has size . An \emph{…
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…