The existence of 3 orthogonal partitioned incomplete Latin squares of type \(t^ n\)

DOI10.1016/0012-365X(91)90117-KzbMath0726.05024OpenAlexW1976198551MaRDI QIDQ2277463

Esther R. Lamken

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0012-365x(91)90117-k

zbMATH Keywords

OPILSorthogonal partitioned incomplete Latin squares

Mathematics Subject Classification ID

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

Related Items (12)

Quantum combinatorial designs and k-uniform states ⋮ The existence of doubly resolvable \((v,3,2)\)-BIBDs ⋮ 3-complementary frames and doubly near resolvable (v,3,2)-BIBDs ⋮ Existence of SOLS with holes of type \(2^ n u^ 1\) ⋮ Direct constructions for certain types of HMOLS ⋮ Existence of three HMOLS of types \(h^ n\) and \(2^ n3^ 1\) ⋮ Frames and doubly resolvable group divisible designs with block size three and index two ⋮ Existence results for generalized balanced tournament designs with block size 3 ⋮ Mutually orthogonal Latin squares: A brief survey of constructions ⋮ Room square patterns ⋮ Howell designs with sub-designs ⋮ Scheduling CCRR tournaments

Cites Work

• On sets of three mols with holes
• Four pairwise orthogonal Latin squares of order 24
• On the existence of MOLS with equal-sized holes
• On the existence of frames
• More mutually orthogonal latin squares
• Existence results for generalized balanced tournament designs with block size 3
• Mols with holes
• 3-complementary frames and doubly near resolvable (v,3,2)-BIBDs
• An Existence Theorem for Room Squares*
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