3 papers
math.CO2023
Partitioned difference families and harmonious linear spaces
Marco Buratti, Dieter Jungnickel
We say that a linear space is harmonious if it is resolvable and admits an automorphism group acting sharply transitively on the points and transitively on the parallel classes. Ge…
math.CO2021
Partitioned difference families: the storm has not yet passed
Marco Buratti, Dieter Jungnickel
Two years ago, we alarmed the scientific community about the large number of bad papers in the literature on {\it zero difference balanced functions}, where direct proofs of seemin…
math.CO2017
Counting Steiner triple systems with classical parameters and prescribed rank
Dieter Jungnickel, Vladimir D. Tonchev
By a famous result of Doyen, Hubaut and Vandensavel \cite{DHV}, the 2-rank of a Steiner triple system on points is at least , and equality holds only for the cla…