Abstract | ||
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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 |
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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. Abel | 1 | 104 | 10.94 |
Malcolm Greig | 2 | 53 | 13.84 |
Ying Miao | 3 | 491 | 43.85 |
Lie Zhu | 4 | 79 | 13.01 |