Implications of vanishing Krein parameters on Delsarte designs, with applications in finite geometry
J Bamberg, J Lansdown - arXiv preprint arXiv:2107.05207, 2021 - arxiv.org
In this paper we show that if $\theta $ is a $ T $-design of an association scheme
$(\Omega,\mathcal {R}) $, and the Krein parameters $ q_ {i, j}^ h $ vanish for some $ h\not\in …
$(\Omega,\mathcal {R}) $, and the Krein parameters $ q_ {i, j}^ h $ vanish for some $ h\not\in …
Designs in Finite Geometry
J Lansdown - 2020 - research-repository.uwa.edu.au
This thesis is concerned with the study of Delsarte designs in symmetric association
schemes, particularly in the context of finite geometry. We construct an infinite family of …
schemes, particularly in the context of finite geometry. We construct an infinite family of …
[HTML][HTML] On intriguing sets of the Penttila-Williford association scheme
J Bamberg, K Metsch - Linear Algebra and its Applications, 2019 - Elsevier
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 schemes that …
(2011) that was the basis for their construction of primitive cometric association schemes that …
[HTML][HTML] Relative m-ovoids of elliptic quadrics
A Cossidente, F Pavese - Discrete Mathematics, 2019 - Elsevier
Abstract Let Q−(2 n+ 1, q) be an elliptic quadric of PG (2 n+ 1, q). A relative m-ovoid of Q−(2
n+ 1, q)(with respect to a parabolic section Q≔ Q (2 n, q)⊂ Q−(2 n+ 1, q)) is a subset R of …
n+ 1, q)(with respect to a parabolic section Q≔ Q (2 n, q)⊂ Q−(2 n+ 1, q)) is a subset R of …