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A new existence proof for Steiner quadruple systems

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Publication:356709
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DOI10.1007/S10623-012-9621-6zbMath1268.05030OpenAlexW2085228271MaRDI QIDQ356709

Gennian Ge, Xian De Zhang

Publication date: 26 July 2013

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

Full work available at URL: https://doi.org/10.1007/s10623-012-9621-6


zbMATH Keywords

candelabra systemsSteiner quadruple systems\(H\)-designs\(H\)-framesexistence proof


Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30)


Related Items (1)

Constructions of optimal two-dimensional optical orthogonal codes with AM-OPPW restriction for \(\lambda = 2\)




Cites Work

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  • Optimal constant weight covering codes and nonuniform group divisible 3-designs with block size four
  • Graphical t-wise balanced designs
  • Covering triples by quadruples: an asymptotic solution
  • A general recursive construction for quadruple systems
  • The fundamental construction for 3-designs
  • On Quadruple Systems
  • An improvement on H design
  • On Some Tactical Configurations




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