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arXiv · 2511.05191

Steiner systems $S(2,6,226)$ and $S(2,6,441)$ exist

Taras Banakh·Ivan Hetman·Alex Ravsky
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Abstract

Via computer search, we found seven non-isomorphic $1$-rotational Steiner systems $S(2,6,226)$ and six point-transitive Steiner systems $S(2,6,441)$, resolving two of $29$ previously undecided cases for $S(2,6,v)$.

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Taras Banakh, Ivan Hetman, Alex Ravsky. 2026-05-18. Steiner systems $S(2,6,226)$ and $S(2,6,441)$ exist. https://arxiv.org/abs/2511.05191

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