411 citations · 2.4k across the 68 of their papers we have counts for
70 papers
Intersection numbers for designs in regular semilattices
Michael Kiermaier, Lukas Klawuhn
We generalize intersection numbers for combinatorial designs to designs in finite meet-semilattices satisfying suitable regularity conditions. While designs in regular semilattices…
The paired construction for Boolean functions on the slice
Michael Kiermaier, Jonathan Mannaert, Alfred Wassermann
Let be a finite set of size . We consider real functions on the "slice" , which are also known as functions in the Johnson scheme. For $I \subseteq J \subseteq…
Steiner 3-designs as extensions
Michael Kiermaier, Vedran Krčadinac, 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…
Some new Steiner designs
Michael Kiermaier, Vedran Krčadinac, 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…
New Results on Arcs in Projective Hjelmslev Planes over Small Chain Rings
Thomas Honold, Michael Kiermaier, Ivan Landjev
We present various new constructions and bounds for arcs in projective Hjelmslev planes over finite chain rings of nilpotency index 2. For the chain rings of cardinality at most 25…
The degree of functions in the Johnson and q-Johnson schemes
Michael Kiermaier, Jonathan Mannaert, Alfred Wassermann
In 1982, Cameron and Liebler investigated certain "special sets of lines" in PG(3,q), and gave several equivalent characterizations. Due to their interesting geometric and algebrai…