On disjoint \((3t,3,1)\) cyclic difference families

DOI10.1016/j.jspi.2010.01.038zbMath1186.62099OpenAlexW2068215937MaRDI QIDQ963883

Marco Buratti, Ghinelli, Dina

Publication date: 14 April 2010

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jspi.2010.01.038

zbMATH Keywords

difference matrix(disjoint) difference family

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Statistical block designs (62K10) Triple systems (05B07)

Related Items (5)

Design and analysis of periodic multiple seeds ⋮ Egalitarian Steiner triple systems for data popularity ⋮ The first families of highly symmetric Kirkman triple systems whose orders fill a congruence class ⋮ Novák's conjecture on cyclic Steiner triple systems and its generalization ⋮ Partitioned difference families versus zero-difference balanced functions

Cites Work

• Block disjoint difference families for Steiner triple systems: \(v\equiv 3 \mod 6\)
• Recursive constructions for cyclic block designs
• Further progress on difference families with block size 4 or 5
• \(G\)-invariantly resolvable Steiner 2-designs which are 1-rotational over \(G\)
• Cyclic designs with block size 4 and related optimal optical orthogonal codes
• Some progress on \((v,4,1)\) difference families and optical orthogonal codes
• On resolvable designs
• Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(\(v\)).
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