Characterising elliptic and hyperbolic hyperplanes of the parabolic\n quadric Q(2n,q)

2021/11/17 by Jeroen Schillewaert, Schillewaert, Jeroen, Geertrui Van de Voorde +1 · 1 citation
Mathematics · Computer Science · Engineering · #Finite Group Theory Research #Coding theory and cryptography #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2111.09443

Abstract

We provide a natural characterisation for the sets of elliptic and hyperbolic\nhyperplanes of the parabolic quadric Q(2n,q) when q is even. This\ncharacterisation is based on the number of elements of these sets through\npoints and codimension 2 spaces and generalises [S. Barwick, A. Hui, and W-A.\nJackson. Characterising elliptic solids of Q(4,q), q even. Discrete Math., 343\n(6) (2020), 111857] and [S. Barwick, A. Hui, W-A. Jackson, and J. Schillewaert.\nCharacterising hyperbolic solids of Q(4,q), q even. Des. Codes Cryptogr., 88\n(1) (2020), 33--39.].\n

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