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The existence of Schröder designs with equal-sized holes

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Publication:1363650
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DOI10.1016/0012-365X(95)00353-XzbMath0880.05009OpenAlexW2024803549MaRDI QIDQ1363650

Rui Zhong Wei, Frank E. Bennett

Publication date: 10 August 1997

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

Full work available at URL: https://doi.org/10.1016/0012-365x(95)00353-x


zbMATH Keywords

edge-colored designholey Schröder designSchröder quasigroups


Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05)


Related Items (3)

Latin squares with self-orthogonal conjugates ⋮ Holey Schröder designs of type \(3^n u^1\) ⋮ Schröder quasigroups with a specified number of idempotents


Uses Software

  • Mace4


Cites Work

  • Edge-coloured designs with block size four
  • On the construction of Schroeder quasigroups
  • Balanced incomplete block designs and related designs
  • Group divisible designs with block-size four
  • Quasigroups and tactical systems
  • Mols with holes
  • Latin squares with self-orthogonal conjugates
  • Incomplete idempotent Schröder quasigroups and related packing designs
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