A construction for infinite families of Steiner 3-designs

DOI10.1006/jcta.2000.3139zbMath0986.05018OpenAlexW2086062699MaRDI QIDQ5937129

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Publication date: 29 October 2001

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/480df770ae18c2e2ba99ffe2cb36cc4a540fe549

zbMATH Keywords

candelabra systemsdesign extensionSteiner design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

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Multicolor Ramsey numbers for triple systems ⋮ A construction for group divisible \(t\)-designs with strength \(t\geqslant 2\) and index unity

Cites Work

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• A construction for Steiner 3-designs
• An extension theorem for Steiner systems
• The module structure of integral designs
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
• An existence theory for pairwise balanced designs. II: Structure of PBD- closed sets and the existence conjectures
• On Quadruple Systems
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
• On Some Tactical Configurations
• Orthogonal Arrays of Index Unity

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