Some direct constructions for incomplete transversal designs

DOI10.1016/S0378-3758(96)00012-2zbMath0873.05012MaRDI QIDQ1361704

Charles J. Colbourn

Publication date: 28 July 1997

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

transversal designsorthogonal arrayorthogonal latin squares

Mathematics Subject Classification ID

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

Related Items (15)

Concerning the vector \(v(m,t)\) ⋮ Existence of optimal strong partially balanced designs with block size five. ⋮ All v(3, t)'s exist for 3t + 1 a prime ⋮ Existence of \(V(m,t)\) vectors ⋮ 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 ⋮ \(V(m,t)\) and its variants ⋮ Existence of 4-fold perfect \((v, \{5, 8\}, 1)\)-Mendelsohn designs ⋮ Perfect Mendelsohn designs with block size six ⋮ \(V (m, t)\)'s for \(m = 4, 5, 6\) ⋮ Existence of \(r\)-fold perfect \((v,K,1)\)-Mendelsohn designs with \(K\subseteq \{4,5,6,7\}\) ⋮ Maximal sets of mutually orthogonal Latin squares ⋮ The existence of perfect Mendelsohn designs with block size 7 ⋮ Quintessential pairwise balanced designs

Cites Work

• Some new matrices-minus-diagonal and MOLS
• More mutually orthogonal latin squares
• Some Results on the Existence of Squares
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