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Classification of partitions of all triples on ten points into copies of Fano and affine planes

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Publication:924963
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DOI10.1016/j.disc.2006.06.043zbMath1148.05014OpenAlexW2029365998MaRDI QIDQ924963

Greg Gamble, Anne Penfold Street, Rudolf A. Mathon

Publication date: 29 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2006.06.043


zbMATH Keywords

triple systemsaffine partitionsFano partitionsmixed partitions


Mathematics Subject Classification ID

Triple systems (05B07)


Related Items (1)

Mixed partitions of sets of triples into small planes



Cites Work

  • Non-trivial \(t\)-designs without repeated blocks exist for all \(t\)
  • Partitioning sets of triples into small planes
  • On large sets of disjoint Steiner triple systems. VI
  • On large sets of disjoint Steiner triple systems. I
  • A completion of Lu's determination of the spectrum for large sets of disjoint Steiner triple systems
  • Partitions of the 4-subsets of a 13-set into disjoint projective planes
  • Mixed partitions of sets of triples into small planes
  • A construction for Hadamard arrays
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