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- Title
CONSTRUCTION OF 3-DESIGNS USING (1, σ)-RESOLUTION.
- Authors
VAN TRUNG, TRAN
- Abstract
The paper deals with recursive constructions for simple 3-designs based on other 3-designs having (1,σ)-resolution. The concept of (1, σ)-resolution may be viewed as a generalization of the parallelism for designs. We show the constructions and their applications to produce many previously unknown infinite families of simple 3-designs. We also include a discussion of (1,σ)-resolvability of the constructed designs.
- Subjects
GEOMETRICAL constructions; RECURSIVE functions; STEINER systems; PARALLELS (Geometry); FREE resolutions (Algebra)
- Publication
Advances in Mathematics of Communications, 2016, Vol 10, Issue 3, p511
- ISSN
1930-5346
- Publication type
Article
- DOI
10.3934/amc.2016022