Computer search finds explicit examples of 1-rotational S(2,6,226) and point-transitive S(2,6,441), settling two open existence questions in design theory.
Wilson,An existence theory for pairwise balanced designs
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Steiner systems $S(2,6,226)$ and $S(2,6,441)$ exist
Computer search finds explicit examples of 1-rotational S(2,6,226) and point-transitive S(2,6,441), settling two open existence questions in design theory.