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math.CO2025
New Steiner systems with block length 6
Taras Banakh, Ivan Hetman, Alex Ravsky
In this paper various Steiner systems for are collected and enumerated for specific constructions. In particular, two earlier unknown types of -rotational des…
math.CO2025
Enumerations of 1-rotational Steiner systems
Ivan Hetman, Taras Banakh, Alex Ravsky
In this paper new -rotational 2-Steiner systems for different admissible pairs are introduced. In particular, -rotational unitals of order 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 , which are also Steiner systems , where automorphism group acts transitively and effectively on points or…