Designs and partial geometries over finite fields |
| |
Authors: | Simon Thomas |
| |
Institution: | (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 ![agr](/content/n13212528kp41145/xxlarge945.gif) ![isin](/content/n13212528kp41145/xxlarge8712.gif) induces a (k–1)-spread S on / . ( , B) is said to be a geometric design if S is a geometric spread on / for each ![agr](/content/n13212528kp41145/xxlarge945.gif) ![isin](/content/n13212528kp41145/xxlarge8712.gif) . 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! |
|