Existence of OBIBDs with \(k=4\) with and without nesting

DOI10.1016/S0012-365X(02)00795-1zbMath1025.05008OpenAlexW1968013132MaRDI QIDQ1810624

Malcolm Greig, D. H. Rees, R. Julian R. Abel

Publication date: 9 June 2003

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

Full work available at URL: https://doi.org/10.1016/s0012-365x(02)00795-1

zbMATH Keywords

PBDnested BIBDOBIBDONBIBD

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05)

Cites Work

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• A series of separable designs with application to pairwise orthogonal Latin squares
• Difference families from rings
• Perfect Graeco-Latin balanced incomplete block designs (pergolas)
• Properties of superimposed BIBDs
• Pairwise balanced designs with block sizes 8, 9, and 10
• Resolvable balanced incomplete block designs with block size 8
• \(V (m, t)\)'s for \(m = 4, 5, 6\)
• Optimal blocked main effects plans with nested rows and columns and related designs
• Resolvable BIBDs with block size 7 and index 6
• Existence of balanced incomplete block designs for many sets of treatments
• Balanced incomplete block designs with block size 8
• Pitch tournament designs and other BIBDs?existence results for the case ? = 8n
• Connectedness and orthogonality in multi-factor designs
• Adjusted orthogonality in nonorthogonal designs
• MULTI‐FACTOR BALANCED BLOCK DESIGNS WITH COMPLETE ADJUSTED ORTHOGONALITY FOR ALL PAIRS OF TREATMENT FACTORS
• Perfect Mendelsohn designs with block size six
• Nested balanced incomplete block designs

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