Constructions of perfect Mendelsohn designs
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Publication:1197047
DOI10.1016/0012-365X(92)90264-GzbMath0756.05012OpenAlexW1994566808WikidataQ126409327 ScholiaQ126409327MaRDI QIDQ1197047
Publication date: 16 January 1993
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0012-365x(92)90264-g
Combinatorial aspects of block designs (05B05) Other designs, configurations (05B30) Triple systems (05B07)
Related Items (22)
On the existence of perfect Mendelsohn designs with \(k=7\) and \(\lambda{}\) even ⋮ Existence of three HMOLS of type \(2^nu^{1}\) ⋮ The existence of \(( \nu,6, \lambda\) )-perfect Mendelsohn designs with \(\lambda > 1\) ⋮ Three mutually orthogonal idempotent Latin squares of orders 22 and 26 ⋮ Existence of three HMOLS of types \(h^ n\) and \(2^ n3^ 1\) ⋮ Super-simple twofold Steiner pentagon systems ⋮ The spectrum for 2-perfect 6-cycle systems ⋮ Existence of perfect Mendelsohn designs with \(k=5\) and \(\lambda{}>1\) ⋮ Super-simple Steiner pentagon systems ⋮ Holey Steiner pentagon systems and related 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 ⋮ Existence of nested designs with block size five ⋮ 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 ⋮ Holey Steiner pentagon systems ⋮ Perfect Mendelsohn designs with block size six ⋮ Almost resolvable perfect Mendelsohn designs with block size five ⋮ Existence of directed GDDs with block size five and index \(\lambda \geq 2\) ⋮ Existence of \(r\)-fold perfect \((v,K,1)\)-Mendelsohn designs with \(K\subseteq \{4,5,6,7\}\) ⋮ The existence of perfect Mendelsohn designs with block size 7
Cites Work
- A short proof of the nonexistence of a pair of orthogonal Latin squares of order six
- Steiner pentagon systems
- Four MOLS of order 10 with a hole of order 2
- On sets of three mols with holes
- Generalized complete mappings, neofields, sequenceable groups and block designs. II
- Four pairwise orthogonal Latin squares of order 24
- An elliptic semiplane
- Resolvable perfect cyclic designs
- Perfect cyclic designs
- Concerning the number of mutually orthogonal latin squares
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