Antidesigns and regularity of partial spreads in dual polar graphs
| Autor: | Frédéric Vanhove |
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| Rok vydání: | 2010 |
| Předmět: |
SETS
Rank (linear algebra) T-DESIGNS Isotropy dual polar graph SPACES (partial) spreads Linear subspace Dual (category theory) Combinatorics Mathematics and Statistics antidesigns Association scheme ASSOCIATION SCHEMES Discrete Mathematics and Combinatorics Polar Polar coordinate system completely regular codes Mathematics |
| Zdroj: | JOURNAL OF COMBINATORIAL DESIGNS |
| ISSN: | 1063-8539 1520-6610 |
| DOI: | 10.1002/jcd.20275 |
| Popis: | 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. © 2010 Wiley Periodicals, Inc. J Combin Designs 19: 202-216, 2011 |
| Databáze: | OpenAIRE |
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