Jesse Lansdown

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20162026

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Showing 2021 · math.COShow all

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math.CO2021

Implications of vanishing Krein parameters on Delsarte designs, with applications in finite geometry

John Bamberg, Jesse Lansdown

In this paper we show that if $θ$ is a $T$ -design of an association scheme $(Ω, R)$ , and the Krein parameters $q_{i, j}^{h}$ vanish for some $h \neq \in T$ and all $i, j \no…

math.CO2021

The Non-Existence of Block-Transitive Subspace Designs

Daniel R. Hawtin, Jesse Lansdown

Let $q$ be a prime power and $V ≅ F_{q}^{n}$ . A $t$ - $(n, k, λ)_{q}$ design, or simply a subspace design, is a pair $D = (V, B)$ , where $B$ is a su…