Recent progress on the existence of perfect Mendelsohn designs
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Publication:5934166
DOI10.1016/S0378-3758(00)00245-7zbMath0985.05003MaRDI QIDQ5934166
Publication date: 20 May 2002
Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)
Combinatorial aspects of block designs (05B05) Combinatorial aspects of packing and covering (05B40)
Related Items (4)
Combinatorial characterizations of one-coincidence frequency-hopping sequences ⋮ RESOLVABLE MENDELSOHN DESIGNS AND FINITE FROBENIUS GROUPS ⋮ Quasigroups constructed from perfect Mendelsohn designs with block size 4 ⋮ Circular neighbor-balanced designs universally optimal for total effects
Cites Work
- On sets of three mols with holes
- Generalized complete mappings, neofields, sequenceable groups and block designs. II
- Existence of three HMOLS of types \(h^ n\) and \(2^ n3^ 1\)
- Resolvable perfect cyclic designs
- More mutually orthogonal latin squares
- Existence of perfect Mendelsohn designs with \(k=5\) and \(\lambda{}>1\)
- Constructions of perfect Mendelsohn designs
- Balanced incomplete block designs and related designs
- Perfect cyclic designs
- Quintessential pairwise balanced designs
- Packings and coverings of the complete directed multigraph with 3- and 4-circuits
- Some direct constructions for incomplete transversal designs
- Perfect Mendelsohn packing designs with block size five
- Direct constructions for certain types of HMOLS
- The existence of perfect Mendelsohn designs with block size 7
- On the existence of (v,7,1)-perfect Mendelsohn designs
- On the existence of perfect Mendelsohn designs with \(k=7\) and \(\lambda{}\) even
- Some Results on the Existence of Squares
- Direct Constructions for Perfect 3-Cyclic Designs
- Existence of HPMDs with block size five
- Direct construction methods for incomplete perfect Mendelsohn designs with block size four
- Perfect Mendelsohn designs with equal-sized holes and block size four
- Holey Steiner pentagon systems
- Incomplete perfect mendelsohn designs with block size 4 and one hole of size 7
- Incomplete perfect mendelsohn designs with block size 4 and holes of size 2 and 3
- Perfect Mendelsohn designs with block size six
- Perfect Mendelsohn designs with block size six
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