Partitions of triples into optimal packings

DOI10.1016/0097-3165(92)90069-7zbMath0757.05012OpenAlexW2015634066MaRDI QIDQ1185904

Tuvi Etzion

Publication date: 28 June 1992

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(92)90069-7

zbMATH Keywords

optimal packingsdisjoint optimal packingspartitions of triples

Mathematics Subject Classification ID

Partitions of sets (05A18) Triple systems (05B07) Combinatorial aspects of packing and covering (05B40)

Related Items (5)

On the chromatic number, colorings, and codes of the Johnson graph ⋮ Optimal ternary constant-composition codes with weight four and distance three ⋮ Partition of triples of order \(6 k +5\) into \(6 k +3\) optimal packings and one packing of size \(8 k +4\) ⋮ Novel space shift keying MIMO technique based on a Steiner triple system ⋮ A new existence proof for large sets of disjoint Steiner triple systems

Cites Work

• Unnamed Item
• On large sets of disjoint Steiner triple systems. VI
• On large sets of disjoint Steiner triple systems. III
• A completion of Lu's determination of the spectrum for large sets of disjoint Steiner triple systems
• Optimal partitions for triples
• Sylvester's problem of the 15 schoolgirls
• Some mappings of periodic groups
• Covering all triples on n marks by disjoint Steiner systems
• Symmetric quasigroups of odd order
• A new table of constant weight codes
• New lower bounds for constant weight codes
• Construction of Large Sets of Almost Disjoint Steiner Triple Systems
• Maximal consistent families of triples

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