The exceptional hyperplanes of DH(5, 4)

In [2], we showed the existence of five isomorphism classes of hyperplanes in each dual polar space of type DH(5, q2). We also proved there that every hyperplane of DH(5, q2) belongs to one of these five classes if q = 2. In the present paper, we classify all hyperplanes of DH(5, 4) and find four additional isomorphism classes of hyperplanes. MSC 2000: 51A50, 51E24

• Type: Journal
• Year: 2007
• Where: EJC
• Authors: Bart De Bruyn, Harm Pralle
• Keywords: Dual Polar Space, EJC 2007, Hyperplanes, Information Technology, Isomorphism Classes