On the existence of incomplete transversal designs with block size five

DOI10.1016/0012-365X(93)E0110-PzbMath0815.05019OpenAlexW2064355596MaRDI QIDQ1343251

V. Pereyra

Publication date: 1 February 1995

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

Full work available at URL: https://doi.org/10.1016/0012-365x(93)e0110-p

zbMATH Keywords

MOLSblock sizeincomplete transversal designs

Mathematics Subject Classification ID

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

Related Items (6)

Existence of three HMOLS of types \(h^ n\) and \(2^ n3^ 1\) ⋮ Existence of optimal strong partially balanced designs with block size five. ⋮ Mutually orthogonal Latin squares: A brief survey of constructions ⋮ The spectrum of optimal strong partially balanced designs with block size five ⋮ On the existence of pure (v, 4, λ)‐PMD with λ = 1 and 2 ⋮ The spectrum of \(\text{HSOLSSOM}(h^ n)\) where \(h\) is even

Cites Work

• Four MOLS of order 10 with a hole of order 2
• On sets of three mols with holes
• Existence of orthogonal Latin squares with aligned subsquares
• More mutually orthogonal latin squares
• Embeddings on \(S(2,4,v)\)
• Mols with holes
• Nonextendibility Conditions on Mutually Orthogonal Latin Squares
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