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

DOI10.5802/alco.246OpenAlexW3177973635MaRDI QIDQ2695967

John Bamberg, Jesse Lansdown

Publication date: 5 April 2023

Published in: Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.05207

zbMATH Keywords

association schemesfinite geometry\(m\)-ovoidshemisystemsKrein parametersDelsarte designsgeneralised octagons

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30) Other designs, configurations (05B30) Generalized quadrangles and generalized polygons in finite geometry (51E12) Combinatorial aspects of finite geometries (05B25) General block designs in finite geometry (51E05)

Uses Software

• Mathematica
• sage-drg

Cites Work

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• A relative \(m\)-cover of a Hermitian surface is a relative hemisystem
• The nonexistence of certain generalized polygons
• A gap result for Cameron-Liebler \(k\)-classes
• Antidesigns and regularity of partial spreads in dual polar graphs

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