BIBD's with block-size seven

It is proved that the obvious necessary conditions for the existence of a BIBD with k = 7 and λ =3 and 21 are sufficient except, perhaps, for the values λ = 3 and v = 323, 351, 407, 519, 525, 575, 665.

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Bibliographic Details
Published inDiscrete mathematics Vol. 77; no. 1; pp. 89 - 96
Main Author Hanani, H.
Format Journal Article
LanguageEnglish
Published Amsterdam Elsevier B.V 1989
Elsevier
Subjects
Combinatorics
Combinatorics. Ordered structures
Designs and configurations
Exact sciences and technology
Mathematics
Sciences and techniques of general use
Incomplete block design
Existence theorem
Combinatorics
Necessary and sufficient condition
Balanced design
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Summary:It is proved that the obvious necessary conditions for the existence of a BIBD with k = 7 and λ =3 and 21 are sufficient except, perhaps, for the values λ = 3 and v = 323, 351, 407, 519, 525, 575, 665.
ISSN:0012-365X
1872-681X
DOI:10.1016/0012-365X(89)90354-3