On three-designs of small order

DOI10.1016/0012-365X(83)90177-2zbMath0511.05009MaRDI QIDQ1838966

Alan Hartman, Earl S. Kramer, Haim Hanani

Publication date: 1983

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

zbMATH Keywords

existence of B3(k,lambdav) design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (8)

An incidence algebra for t-designs with automorphisms ⋮ Exact coverings of 2-paths by 4-cycles ⋮ Translations of the squares in a finite field and an infinite family of 3-designs ⋮ Block-transitive \(3\)-\((v, 4, \lambda)\) designs with sporadic or alternating socle ⋮ An \(S_ 3(3,5,21)\) using graphs ⋮ Some perpendicular arrays for arbitrarily large \(t\) ⋮ The existence of a simple 3-(28,5,30) design ⋮ On the construction of authentication and secrecy codes

Cites Work

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• The family of t-designs. Part I
• t-designs from the large Mathieu groups
• An existence theory for pairwise balanced designs. III: Proof of the existence conjectures
• Extending t-designs
• Balanced incomplete block designs and related designs
• A representation of the Mathieu group \(M_{24}\) as a collineation group
• Extending symmetric designs
• Some New 5-Designs
• On t-Designs and Groups
• New 5-designs
• On Some Tactical Configurations

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