The Largest Cap in AG(4, 4) and Its Uniqueness

We show that 40 is the maximum number of points of a cap in AG(4, 4). Up to semi-linear transformations there is only one such 40-cap. Its group of automorphisms is a semidirect product of an elementary abelian group of order 16 and the alternating group A5.

• Type: Conference
• Year: 2003
• Where: DCC
• Authors: Yves Edel, Jürgen Bierbrauer
• Keywords: Computer Graphics, DCC 2003, Elementary Abelian Group, Maximum Number