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math.CO2018
Constructions of optimal orthogonal arrays with repeated rows
Charles J. Colbourn, Douglas R. Stinson, Shannon Veitch
We construct orthogonal arrays OA (of strength two) having a row that is repeated times, where is as large as possible. In particular, we consider OAs where the r…
math.CO2018★ 4 cited
New bounds on the maximum size of Sperner partition systems
Yanxun Chang, Charles J. Colbourn, Adam Gowty +2
An -Sperner partition system is a collection of partitions of some -set, each into nonempty classes, such that no class of any partition is a subset of a class of any…