Simple 2-fold (3n, n, 3) group divisible designs having a prescribed number of triples in common

Demirkale, Fatih, Donovan, Diane and Lindner, C. C. (2013) Simple 2-fold (3n, n, 3) group divisible designs having a prescribed number of triples in common. Electronic Notes in Discrete Mathematics, 40 107-111. doi:10.1016/j.endm.2013.05.020


Author Demirkale, Fatih
Donovan, Diane
Lindner, C. C.
Title Simple 2-fold (3n, n, 3) group divisible designs having a prescribed number of triples in common
Formatted title
Simple 2-fold (3n, n, 3) group divisible designs having a prescribed number of triples in common
Journal name Electronic Notes in Discrete Mathematics   Check publisher's open access policy
ISSN 1571-0653
Publication date 2013-05
Year available 2013
Sub-type Article (original research)
DOI 10.1016/j.endm.2013.05.020
Open Access Status DOI
Volume 40
Start page 107
End page 111
Total pages 5
Place of publication Amsterdam, Netherlands
Publisher Elsevier BV
Collection year 2014
Formatted abstract
In this note, we will give intersection numbers for two simple 2-fold (3n, n, 3) group divisible designs (GDD). More precisely, we note that there exists two simple 2-fold (3n, n, 3) GDDs which intersect in precisely k∈{0, 1, 2,..., 2n2}\{2n2-1, 2n2-2, 2n2-3, 2n2-5} triples for n≥5. There are some exceptions for n=3, 4.
Keyword Group divisible designs
Intersection problem
Quasigroups
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
 
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Created: Thu, 28 Nov 2013, 16:06:48 EST by System User on behalf of School of Mathematics & Physics