Volume 34, Number 1, 117-126, DOI: 10.1007/s10623-003-4197-9

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

Gennian Ge and Alan C. H. Ling

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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.

Keywords  group divisible designs - double group divisible designs

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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