Fixed block configuration group divisible designs with block size six
Document Type
Article
Publication Date
2-28-2012
Abstract
We present constructions and results about GDDs with two groups and block size six. We study those GDDs in which each block has configuration (s,t), that is in which each block has exactly s points from one of the two groups and t points from the other. We show the necessary conditions are sufficient for the existence of GDD(n,2,6;λ 1,λ 2)s with fixed block configuration (3,3). For configuration (1,5), we give minimal or near-minimal index examples for all group sizes n < 5 except n=10,15,160, or 190. For configuration (2,4), we provide constructions for several families of GDD(n,2,6;λ 1,λ 2)s. © 2011 Elsevier B.V. All rights reserved.
Publication Title
Discrete Mathematics
Recommended Citation
Keranen, M.,
&
Laffin, M.
(2012).
Fixed block configuration group divisible designs with block size six.
Discrete Mathematics,
312(4), 745-756.
http://doi.org/10.1016/j.disc.2011.11.002
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/6288