Title
Resolvable BIBDs with block size 7 and index 6
Abstract
A necessary condition for the existence of a resolvable balanced incomplete block design on v points with k=7 and λ=6 is that v≡0mod7. This condition is shown to be sufficient for v>462, with 18 possible exceptions plus one known exception (v=14) below this value. Also considered are the existence of (v,7,6)-NRDs, (7,6)-frames of type 7t and (7,6)-resolvable GDDs of type 7t.
Year
DOI
Venue
2001
10.1016/S0012-365X(00)00123-0
Discrete Mathematics
Keywords
Field
DocType
indexation,balanced incomplete block design,frame
Block size,Discrete mathematics,Combinatorics,Block design,Mathematics
Journal
Volume
Issue
ISSN
226
1-3
0012-365X
Citations 
PageRank 
References 
2
0.45
0
Authors
4
Name
Order
Citations
PageRank
R. Julian R. Abel110410.94
Malcolm Greig25313.84
Ying Miao349143.85
Lie Zhu47913.01