All block designs with \(b={v\choose k}/2\) exist

DOI10.1016/S0012-365X(97)00024-1zbMath0892.05009MaRDI QIDQ1377704

S. Ajoodani-Namini

Publication date: 26 January 1998

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

zbMATH Keywords

\(t\)-designblock designslarge sets of designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (8)

Constructing regular self-complementary uniform hypergraphs ⋮ Large sets of \(t\)-designs through partitionable sets: a survey ⋮ More on the Wilson \(W_{tk}(v)\) matrices ⋮ On the inclusion matrix \(W_{23}(v)\) ⋮ Large sets of subspace designs ⋮ New partitionings of complete designs ⋮ Some infinite families of large sets of \(t\)-designs ⋮ On the existence of large sets of \(t\)-designs of prime sizes.

Cites Work

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• On the existence of 2-designs Slambda(2,3,v) without repeated blocks
• Combining \(t\)-designs
• Extending t-designs
• More on halving the complete designs
• Locally trivial t-designs and t-designs without repeated blocks
• Partitions of the 4-subsets of a 13-set into disjoint projective planes
• A New Basis for Trades

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