3 papers
math.CO2025
Steiner 3-designs as extensions
Michael Kiermaier, Vedran KrÄadinac, Alfred Wassermann
In this article, we construct a Steiner system with the parameters , settling one of the smallest open parameter sets of Steiner -designs. Furthermore, we establish t…
math.CO2025
Some new Steiner designs
Michael Kiermaier, Vedran KrÄadinac, Vladimir D. Tonchev +2
The Kramer-Mesner method for constructing designs with a prescribed automorphism group has proven effective many times. In the special case of Steiner designs, the task reduces…
math.CO2025
Projection cubes of symmetric designs
Vedran KrÄadinac, Lucija ReliÄ
We introduce a new type of -dimensional generalization of symmetric block designs. We prove upper bounds on the dimension in terms of and . We also define…