Weighted Intriguing Sets in Finite Polar Spaces

2015/02/06 by John Bamberg, Bamberg, John, Jan De Beule +3
Computer Science · Mathematics · #05B25 #51A50 #51E20 #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research #Rings, Modules, and Algebras #math.CO #msc:05B25 #msc:51A50 #msc:51E20

paper · pdf · doi:10.48550/arxiv.1502.01926

12 pages

openalex publication_date 2015/02/06 · arxiv created 2015/09/16 · arxiv updated 2015/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide new proofs for the non-existence of ovoids in hyperbolic spaces of rank at least four in even characteristic, and for the Hermitian polar space H(5, 4). We also improve the results of A. Klein on the non-existence of ovoids of Hermitian spaces and hyperbolic quadrics.

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