I. Hetman

collaborators

4 papers

math.CO2025

New Steiner systems $S (2, 6, v)$ with block length 6

Taras Banakh, Ivan Hetman, Alex Ravsky

In this paper various Steiner systems $S (2, k, v)$ for $k = 6$ are collected and enumerated for specific constructions. In particular, two earlier unknown types of $1$ -rotational des…

math.CO2025

Enumerations of 1-rotational Steiner systems

Ivan Hetman, Taras Banakh, Alex Ravsky

In this paper new $1$ -rotational 2-Steiner systems for different admissible $v, k$ pairs are introduced. In particular, $1$ -rotational unitals of order $4$ are enumerated.

math.CO2025

Point-transitive and 1-rotational unitals of order 5

Ivan Hetman, Taras Banakh, Alex Ravsky

In this paper we introduce enumeration of unitals of order $5$ , which are also Steiner systems $S (2, 6, 126)$ , where automorphism group acts transitively and effectively on points or…

math.CO2025

Point-transitive Steiner systems S(2,6,111/121/126), S(2,7,169/175)

Ivan Hetman

In this paper new Steiner systems $S (2, 6, 111)$ , $S (2, 6, 121)$ , $S (2, 6, 126)$ , $S (2, 7, 169)$ , $S (2, 7, 175)$ and possibly others with point-transitive (commutative except $S (2, 6, 111)$ ca…

New Steiner systems S(2,6,v) with block length 6

Enumerations of 1-rotational Steiner systems

Point-transitive and 1-rotational unitals of order 5

Point-transitive Steiner systems S(2,6,111/121/126), S(2,7,169/175)

New Steiner systems $S (2, 6, v)$ with block length 6