A generalization of group divisible t $t$‐designs

DOI10.1002/jcd.21912zbMath1526.05024OpenAlexW4385720630MaRDI QIDQ6086217

Zi Hong Tian, Li-Dong Wang, Sijia Liu, Yue Han, Lijun Ma

Publication date: 9 November 2023

Published in: Journal of Combinatorial Designs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/jcd.21912

zbMATH Keywords

generalized \(t\)-designsmixed orthogonal arraysgroup divisible \(t\)-designsfactorizations of the complete multipartite graphsgeneralized group divisible \(t\)-designs

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (1)

Inclusion matrices for rainbow subsets

Cites Work

• Generalized packing designs
• On generalised \(t\)-designs and their parameters
• Resolvable group divisible designs with block size 3
• A generalisation of \(t\)-designs
• On decomposition of r-partite graphs into edge-disjoint Hamilton circuits
• Balanced incomplete block designs and related designs
• Group divisible designs with block-size four
• Orthogonal arrays. Theory and applications
• Orthogonal one-factorizations of complete multipartite graphs
• An existence theory for pairwise balanced designs. I: Composition theorems and morphisms
• The Existence of Mixed Orthogonal Arrays with Four and Five Factors of Strength Two
• A complete solution to existence of H designs
• The spectrum for large sets of ‐GDDs of type
• α‐Resolvable group divisible designs with block size three
• Constructions of Optimal and Near-Optimal Multiply Constant-Weight Codes
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