Extensions of Generalized Product Caps

We give some variants of a new construction for caps. As an application of these constructions we obtain a 1216?cap in PG(9, 3) a 6464?cap in PG(11, 3) and several caps in ternary affine spaces of larger dimension, which lead to better asymptotics than the caps constructed by Calderbank and Fishburn [1]. These asymptotic improvements become visible in dimensions as low as 62, whereas the bound from [1] is based on caps in dimension 13, 500.

• Type: Conference
• Year: 2004
• Where: DCC
• Authors: Yves Edel
• Keywords: Computer Graphics, DCC 2004, Larger Dimension, Ternary Affine Spaces