Constructions of doubly resolvable Steiner quadruple systems

Abstract

An SQS(v) is said to be doubly resolvable if it has two orthogonal resolutions and denoted by DRSQS(v). In this paper, we give two new constructions, i.e., doubling construction and doubly resolvable MPCQS construction. We also give some new results of doubly resolvable SQS(v).

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Acknowledgements

The authors would like to thank the referees for the helpful comments and suggestions.

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Correspondence to Zhaoping Meng.

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Supported by NSFC Grant Nos: 11701338,U1304105, a Project of Shandong Province Higher Educational Science and Technology Program Grant No: J18KA239 (Z.Meng) and Education and Scientific Research Project for Young and Middle-aged Teachers of Fujian Province Grant No: JAT170685. (Z. Wu)

Communicated by C. J. Colbourn.

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Meng, Z., Zhang, B. & Wu, Z. Constructions of doubly resolvable Steiner quadruple systems. Des. Codes Cryptogr. (2021). https://doi.org/10.1007/s10623-021-00844-0

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Keywords

  • Doubly resolvable
  • Steiner quadruple system
  • Candelabra quadruple system
  • H design
  • Latin square

Mathematics Subject Classification

  • 05B05
  • 05B15
  • 51E10