A systematic approach to some block design constructions

DOI10.1016/j.jcta.2004.06.003zbMath1048.05010OpenAlexW1990998520MaRDI QIDQ1881684

Gennian Ge, Alan C. H. Ling

Publication date: 14 October 2004

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcta.2004.06.003

zbMATH Keywords

group divisible designsoptimal packingsresolvable group divisible designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of packing and covering (05B40)

Related Items (1)

New results on GDDs, covering, packing and directable designs with block size 5

Cites Work

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• On group-divisible designs with block size four and group-type \(g^u m^1\)
• Optimal packings of \(K_4\)'s into a \(K_n\)
• Resolvable group divisible designs with block size four and group size six
• A survey on resolvable group divisible designs with block size four.
• On group-divisible designs with block size four and group-type \(6^{u} m^{1}\).
• Group-divisible designs with block size four and group-type \(g^um^1\) with \(m\) as large or as small as possible
• Existence of resolvable group divisible designs with block size four. I
• Frames with Block Size Four
• Constructions of optimal packing designs
• Group-divisible designs with block size k having k +1 groups, for k =4, 5
• Asymptotic results on the existence of 4‐RGDDs and uniform 5‐GDDs
• Resolvable group-divisible designs with block size four

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