1 citations · 4 across the 8 of their papers we have counts for
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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…
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…
No almost simple sporadic group acts primitively on the points of a generalised quadrangle
John Bamberg, James Evans
A generalised quadrangle is a point-line incidence geometry G such that: (i) any two points lie on at most one line, and (ii) given a line L and a point p not incident with L, ther…
On intriguing sets of the Penttila-Williford association scheme
John Bamberg, Klaus Metsch
We investigate intriguing sets of an association scheme introduced by Penttila and Williford (2011) that was the basis for their construction of primitive cometric association sche…
Permutations with orders coprime to a given integer
John Bamberg, S. P. Glasby, Scott Harper +1
Let be a positive integer and let be the proportion of permutations of the symmetric group whose order is coprime to . In 2002, Pouyanne proved that…