Perfect Cayley designs as generalizations of perfect Mendelsohn designs

DOI10.1023/A:1011272801679zbMath0989.05016OpenAlexW1570837007MaRDI QIDQ5937090

Marco Buratti, Fulvio Zuanni

Publication date: 19 March 2002

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1011272801679

zbMATH Keywords

difference matricescyclic whist tournamentdifference familyperfect Cayley designperfect Mendelsohn designtriplewhist tournaments

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Related Items (8)

Directed-ordered whist tournaments and \((v,5,1)\) difference families: Existence results and some new classes of \(Z\)-cyclic solutions ⋮ General frame constructions for \(\mathbb{Z}\)-cyclic triplewhist tournaments ⋮ A new construction for \(Z\)-cyclic whist tournaments ⋮ \(Z\)-cyclic generalized whist frames and \(Z\)-cyclic generalized whist tournaments. ⋮ THE EXISTENCE OF CYCLIC {\rm BIBD}(v,4,\lambda)- A SURVEY AND NEW RESULTS ⋮ Further progress on difference families with block size 4 or 5 ⋮ Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)). ⋮ Some new triplewhist tournaments TWh(\(v\)).

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