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Some more 5-GDDs, 4-frames and 4-RGDDs

Authors
Journal
Discrete Mathematics
0012-365X
Publisher
Elsevier
Publication Date
Volume
336
Identifiers
DOI: 10.1016/j.disc.2014.07.014
Keywords
  • Double Frames
  • Double Group Divisible Designs
  • Frames
  • Group Divisible Designs
  • Resolvable Group Divisible Designs
Disciplines
  • Design

Abstract

Abstract In this paper, we continue to investigate the existence of 5-GDDs, 4-frames and 4-RGDDs, which have been studied by numerous researchers in the past two decades due to their vital applications in the constructions for other types of designs. Much progress has been made for the existence problems of these designs, while the problems are still open. Our new results mainly lie in the cases with relatively large group size. We also construct some smaller designs, including 4-RGDDs of types 2184, 944, 1410, 1818, 2210 and 3611.

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