| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4655930 | Journal of Combinatorial Theory, Series A | 2010 | 6 Pages |
Abstract
We give a construction of a 2-(mn2+1,mn,(n+1)(mn−1)) design starting from a Steiner system S(2,m+1,mn2+1) and an affine plane of order n. This construction is applied to known classes of Steiner systems arising from affine and projective geometries, Denniston designs, and unitals. We also consider the extendability of these designs to 3-designs.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
