Elliptic semiplanes and group divisible designs with orthogonal resolutions (Q1071771)
From MaRDI portal
| This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Elliptic semiplanes and group divisible designs with orthogonal resolutions |
scientific article; zbMATH DE number 3939372
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elliptic semiplanes and group divisible designs with orthogonal resolutions |
scientific article; zbMATH DE number 3939372 |
Statements
Elliptic semiplanes and group divisible designs with orthogonal resolutions (English)
0 references
1986
0 references
The authors show that the existence of an elliptic semiplane S(v,k,m) with \(k\geq m+2\) is equivalent to the existence of a group divisible design \(GDD_ k((k-m)(k-1)\); k-m; 0,1) with m pairwise orthogonal resolutions.
0 references
GDD
0 references
elliptic semiplane
0 references
group divisible design
0 references
0.8988684
0 references
0.8899073
0 references
0 references
0.88292885
0 references
0.88274187
0 references