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A note on \(t\)-designs with \(t\) intersection numbers. (English) Zbl 1059.05018

Summary: We use the Ray-Chaudhari and Wilson inequality for a 0-design with \(t\) intersection numbers to prove that ‘For fixed block size \(k\), there exist finitely many parametrically feasible \(t\)-designs with \(t\) intersection numbers and \(\lambda > 1\).’

MSC:

05B05 Combinatorial aspects of block designs

Keywords:

\(t\)-design
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