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The existence of 5-sparse Steiner triple systems of order \(n \equiv 3 \mod 6\), \(n \notin \{9,15 \}\). (English) Zbl 1157.05011
Summary: This paper shows the existence of 5-sparse Steiner triple systems of order \(n\equiv 3 \mod 6\) for \(n \geqslant 21\) by constructing meager systems.

MSC:
05B07 Triple systems
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