Article ID Journal Published Year Pages File Type
4656591 Journal of Combinatorial Theory, Series A 2007 9 Pages PDF
Abstract

Let Π be the Desarguesian affine plane coordinatized by a division ring D with charD≠2. For n=6 and also for n=7, we prove that Π holds an n-net without an oval if and only if |D|⩾9.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics