Existence of three HMOLS of types \(h^ n\) and \(2^ n3^ 1\)

DOI10.1016/0012-365X(95)00148-PzbMath0867.05012MaRDI QIDQ1126282

S. H. Smith

Publication date: 8 December 1996

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

zbMATH Keywords

holey mutually orthogonal Latin squaresperfect Mendelsohn designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Orthogonal arrays, Latin squares, Room squares (05B15)

Related Items (16)

Further results on mutually nearly orthogonal Latin squares ⋮ Existence of three HMOLS of type \(2^nu^{1}\) ⋮ On generalized Howell designs with block size three ⋮ The existence of \(( \nu,6, \lambda\) )-perfect Mendelsohn designs with \(\lambda > 1\) ⋮ Further results on large sets of partitioned incomplete Latin squares ⋮ Optimal multiply constant-weight codes from generalized Howell designs ⋮ Special issue: 2nd Shanghai conference on designs, codes and finite geometries. Shanghai Jiao Tong Univ., Shanghai, China, May 14--18, 1996 ⋮ Recent progress on the existence of perfect Mendelsohn designs ⋮ Mutually orthogonal Latin squares: A brief survey of constructions ⋮ Existence of 4-fold perfect \((v, \{5, 8\}, 1)\)-Mendelsohn designs ⋮ Perfect Mendelsohn designs with block size six ⋮ Almost resolvable perfect Mendelsohn designs with block size five ⋮ A lower bound on HMOLS with equal sized holes ⋮ Existence of directed GDDs with block size five and index \(\lambda \geq 2\) ⋮ Existence of \(r\)-fold perfect \((v,K,1)\)-Mendelsohn designs with \(K\subseteq \{4,5,6,7\}\) ⋮ Cyclic difference packing and covering arrays.

Cites Work

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