A general construction for group-divisible designs

DOI10.1016/0012-365X(81)90261-2zbMath0464.05013MaRDI QIDQ1153918

Douglas R. Stinson

Publication date: 1981

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

zbMATH Keywords

Latin squarespairwise balanced designsgroup-divisible designs

Mathematics Subject Classification ID

Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (14)

Set-Codes with Small Intersections and Small Discrepancies ⋮ The spectrum of semicyclic holey group divisible designs with block size three ⋮ Pairwise balanced designs with odd block sizes exceeding five ⋮ Semi-cyclic holey group divisible designs with block size three ⋮ Existence of frame SOLS of type \(a^nb^1\) for odd \(n\) ⋮ On the spectrum of mutually \(r\)-orthogonal idempotent Latin squares ⋮ Semi-cyclic Holey Group Divisible Designs and Applications to Sampling Designs and Optical Orthogonal Codes ⋮ A New Construction of Group Divisible Designs with Nonuniform Group Type ⋮ Incomplete self-orthogonal latin squares \(ISOLS(6m+6,2m)\) exist for all m ⋮ The fundamental construction for 3-designs ⋮ Some recent developments on BIBDs and related designs ⋮ Covering triples by quadruples: an asymptotic solution ⋮ Existence of orthogonal Latin squares with aligned subsquares ⋮ Existence of \(r\)-self-orthogonal Latin squares

Cites Work

• Sub-Latin squares and incomplete orthogonal arrays
• Optimal packings of \(K_4\)'s into a \(K_n\)
• Concerning the number of mutually orthogonal latin squares
• Further Results on the Construction of Mutually Orthogonal Latin Squares and the Falsity of Euler's Conjecture
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