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Constructions of doubly resolvable Steiner quadruple systems

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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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Authors and Affiliations

  1. School of Information Engineering, Shandong Youth University of Political Science, Ji’nan, 250103, People’s Republic of China

    Zhaoping Meng & Bin Zhang

  2. School of Big Data and Artificial Intelligence, Fujian Polytechnic Normal University, Fuzhou, 350300, People’s Republic of China

    Zhanggui Wu

Authors
  1. Zhaoping Meng
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  2. Bin Zhang
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  3. Zhanggui Wu
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Corresponding author

Correspondence to Zhaoping Meng.

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Communicated by C. J. Colbourn.

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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)

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Meng, Z., Zhang, B. & Wu, Z. Constructions of doubly resolvable Steiner quadruple systems. Des. Codes Cryptogr. 89, 781–795 (2021). https://doi.org/10.1007/s10623-021-00844-0

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  • DOI: https://doi.org/10.1007/s10623-021-00844-0

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