✦ LIBER ✦
Antidesigns and regularity of partial spreads in dual polar graphs
✍ Scribed by Frédéric Vanhove
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 149 KB
- Volume
- 19
- Category
- Article
- ISSN
- 1063-8539
No coin nor oath required. For personal study only.
✦ Synopsis
We give several examples of designs and antidesigns in classical finite polar spaces. These types of subsets of maximal totally isotropic subspaces generalize the dualization of the concepts of m-ovoids and tight sets of points in generalized quadrangles. We also consider regularity of partial spreads and spreads. The techniques that we apply were developed by Delsarte. In some polar spaces of small rank, some of these subsets turn out to be completely regular codes.