Designs and partial geometries over finite fields |
| |
Authors: | Simon Thomas |
| |
Affiliation: | (1) Mathematics Department, Rutgers University, 08903 New Brunswick, New Jersey, USA |
| |
Abstract: | Let be a finite field, and let (, B) be a nontrivial 2-(n, k, 1)-design over . Then each point induces a (k–1)-spread S on /. (, B) is said to be a geometric design if S is a geometric spread on / for each . In this paper, we prove that there are no geometric designs over any finite field .Research partially supported by NSF grant DMS-8703229. |
| |
Keywords: | 51E20 05B05 51E14 |
本文献已被 SpringerLink 等数据库收录! |
|