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math.CO2018★ 13 cited
Designs over finite fields by difference methods
Marco Buratti, Anamari Nakic
One of the very first results about designs over finite fields, by S. Thomas, is the existence of a cyclic 2- design over for every integer coprime wi…
math.CO2018
-analogs of group divisible designs
Marco Buratti, Michael Kiermaier, Sascha Kurz +2
A well known class of objects in combinatorial design theory are {group divisible designs}. Here, we introduce the -analogs of group divisible designs. It turns out that there a…
math.CO2018
Fano Kaleidoscopes and their generalizations
Marco Buratti, Francesca Merola
In this work we introduce Fano Kaleidoscopes, Hesse Kaleidoscopes and their generalizations. These are a particular kind of colored designs for which we will discuss general theory…