V. Krčadinac

activity

20232025

collaborators

3 papers

math.CO2025

Steiner 3-designs as extensions

Michael Kiermaier, Vedran Krčadinac, Alfred Wassermann

In this article, we construct a Steiner system with the parameters $S (3, 6, 42)$ , settling one of the smallest open parameter sets of Steiner $3$ -designs. Furthermore, we establish t…

math.CO2024

Projection cubes of symmetric designs

Vedran Krčadinac, Lucija Relić

We introduce a new type of $n$ -dimensional generalization of symmetric $(v, k, λ)$ block designs. We prove upper bounds on the dimension $n$ in terms of $v$ and $k$ . We also define t…

math.CO2023

Cubes of symmetric designs

Vedran Krčadinac, Mario Osvin Pavčević, Kristijan Tabak

We study $n$ -dimensional matrices with ${0, 1}$ -entries ( $n$ -cubes) such that all their $2$ -dimensional slices are incidence matrices of symmetric designs. A known construction of…