Back to Search Start Over

A new look at an old construction: constructing (simple) 3-designs from resolvable 2-designs

Authors :
Stinson, Douglas R.
Swanson, Colleen M.
van Trung, Tran
Publication Year :
2013

Abstract

In 1963, Shrikhande and Raghavarao published a recursive construction for designs that starts with a resolvable design (the "master design") and then uses a second design (the "indexing design") to take certain unions of blocks in each parallel class of the master design. Several variations of this construction have been studied by different authors. We revisit this construction, concentrating on the case where the master design is a resolvable BIBD and the indexing design is a 3-design. We show that this construction yields a 3-design under certain circumstances. The resulting 3-designs have block size k = v/2 and they are resolvable. We also construct some previously unknown simple designs by this method.

Subjects

Subjects :
Mathematics - Combinatorics

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1310.0992
Document Type :
Working Paper