On the (15,5,\(\lambda\) )-family of BIBDs

DOI10.1016/0012-365X(89)90361-0zbMath0683.05006MaRDI QIDQ1824622

Alexander Rosa, Rudolf A. Mathon

Publication date: 1989

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

lower boundsBIBDs(15,5,lambda)-balanced incomplete block designsnumber of nonisomorphic designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25)

Related Items

Partitions of sets of two-fold triple systems, and their relations to some strongly regular graphs ⋮ Many (22, 44, 14, 7, 4)- and (15, 42, 14, 5, 4)-balanced incomplete block designs ⋮ Enumeration of small nonisomorphic 1-rotational twofold triple systems ⋮ On combinatorial designs with subdesigns ⋮ A survey of Kirkman triple systems and related designs ⋮ Resolvable balanced incomplete block designs with block size 5 ⋮ Forty-three balanced incomplete block designs

Cites Work

• On generalized quasi-residual designs
• Balanced incomplete block designs and related designs
• Isomorphism problem for relational structures with a cyclic automorphism
• On balanced incomplete block designs with blocks having five elements
• The Existence and Construction of Balanced Incomplete Block Designs
• On Linked Arrays of Pairs
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