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Group Divisible Designs with Block Size Four and Group Type gum1 with Minimum m

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abstract

In this paper, we continue to investigate the spectrum for {4}-GDDs of type gu m1 with m as small as possible. We determine, for each admissible pair (g,u), the minimum values of m for which a {4}-GDD of type gum1 exists with four possible exceptions.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang University, Hangzhou, 310027, Zhejiang, P.R. China

    Gennian Ge

  2. Department of Computer Science, University of Vermont, Burlington, Vermont, 05405, USA

    Alan C. H. Ling

Authors
  1. Gennian Ge
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  2. Alan C. H. Ling
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Additional information

communicated by C. J. Colbourn

Gennian Ge-Researcher supported by NSFC Grant 10471127.

Alan C. H. Ling-Researcher supported by an ARO grant 19-01-1-0406 and a DOE grant.

classification Primary 05B05

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Ge, G., Ling, A.C.H. Group Divisible Designs with Block Size Four and Group Type gum1 with Minimum m. Des Codes Crypt 34, 117–126 (2005). https://doi.org/10.1007/s10623-003-4197-9

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  • DOI: https://doi.org/10.1007/s10623-003-4197-9

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