Combinatorial designs have been studied for nearly 200 years. 50 years ago, Cameron,
Delsarte, and Ray-Chaudhury started investigating their q-analogs, also known as subspace …

A finite classical polar space of rank n consists of the totally isotropic subspaces of a finite
vector space over F q equipped with a nondegenerate form such that n is the maximal …

Let P be a finite classical polar space of rank d. An m-regular system with respect to (k− 1)-
dimensional projective spaces of P, 1≤ k≤ d− 1, is a set R of generators of P with the …

Polar spaces over finite fields are fundamental in combinatorial geometry. The concept of
polar space was firstly introduced by F. Veldkamp who gave a system of 10 axioms in the …

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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 …

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 …

Abstract The Haemers–Mathon bound states that t≤ s 3+ t 2 (s 2− s+ 1) for any finite regular
near hexagon with parameters (s, t, t 2), s≥ 2. In this paper, we generalize this bound to …