Group divisible designs with block size four and group type gum1 with minimum m

  • Authors:
  • Gennian Ge;Alan C. H. Ling

  • Affiliations:
  • Department of Mathematics, Zhejiang University, Hangzhou 310027, Zhejiang, P. R. China;Department of Computer Science, University of Vermont, Burlington, Vermont

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2005

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Abstract

In this paper, we continue to investigate the spectrum for {4}-GDDs of type gum1 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.