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math.CO2026
Block designs and systems of pairs
Alexander Shramchenko, Vasilisa Shramchenko
We propose a new way to construct one block design from another, thus linking some block designs in a new way. At the same time, we find relationships between block designs and sys…
math.CO2023
Mutual incidence matrix of two balanced incomplete block designs
Alexander Shramchenko, Vasilisa Shramchenko
We propose to consider a mutual incidence matrix of two balanced incomplete block designs built on the same finite set. In the simplest case, this matrix reduces to the standar…
math.CO2017
A new relationship between block designs
Alexander Shramchenko, Vasilisa Shramchenko
We propose a procedure of constructing new block designs starting from a given one by looking at the intersections of its blocks with various sets and grouping those sets according…