The existence of HGDDs with block size four and its application to double frames

DOI10.1016/j.disc.2008.01.024zbMath1162.05007OpenAlexW2054870751MaRDI QIDQ1011732

Li Wang, Haitao Cao, Rui Zhong Wei

Publication date: 9 April 2009

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2008.01.024

zbMATH Keywords

group-divisible designdouble frameHGDDholey group-divisible design

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Triple systems (05B07)

Related Items (max. 100)

Generalized perfect difference families and their application to variable-weight geometric orthogonal codes ⋮ Leaves for packings with block size four ⋮ Group divisible designs with block size four and group type \(g^um^1\) for more small \(g\) ⋮ Matching divisible designs with block size four ⋮ The spectrum of semicyclic holey group divisible designs with block size three ⋮ Group divisible designs with block size four and group type \(g^um^1\) ⋮ On the existence of holey 4-cycle frames ⋮ Group Divisible Designs with Block Size Four and Group Type for ⋮ Kirkman frames having hole type \(h^um^1\) for \(h\equiv\mathrm{mod}\,12\) ⋮ \(w\)-cyclic holey group divisible designs and their application to three-dimensional optical orthogonal codes ⋮ Semi-cyclic holey group divisible designs with block size three ⋮ Group divisible designs with block size four and group type \(g^um^{1}\) where \(g\) is a multiple of 8 ⋮ Group divisible designs with block sizes from \(K_{1(3)}\) and Kirkman frames of type \(h^u m^1\) ⋮ Semi-cyclic Holey Group Divisible Designs and Applications to Sampling Designs and Optical Orthogonal Codes

Cites Work

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• Frames for Kirkman triple systems
• Modified group divisible designs with block size 4 and \(\lambda=1\)
• Some recent developments on BIBDs and related designs
• MGDD with block size 4 and its application to sampling designs
• HGDDs with block size four.
• Modified group divisible designs with block size four
• General constructions for double group divisible designs and double frames
• Modified group divisible designs with block size 5 and \(\lambda=1\)

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