Title
Transverse quadruple systems with five holes
Document Type
Article
Publication Date
7-1-2007
Abstract
Transverse Steiner quadruple systems with five holes are either of type g5 or g4u1. We concentrate on the systems of type g4u1 and settle existence except when g ≡ u ≡ 2 (mod 4) and all except 40 parameter situations when g ≡ u + 2 ≡ 0 (mod 4). The question of existence for transverse quadruple systems of type g4u1 with index λ > 1 is completely solved for all λ ≥ 13 and λ ∈ {4, 6, 8, 9, 10, 12}. © 2006 Wiley Periodicals, Inc.
Publication Title
Journal of Combinatorial Designs
Recommended Citation
Keranen, M.,
&
Kreher, D.
(2007).
Transverse quadruple systems with five holes.
Journal of Combinatorial Designs,
15(4), 315-340.
http://doi.org/10.1002/jcd.20114
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/3711