Explicit constructions establish the existence of Steiner systems S(2,7,505), S(2,7,589), and S(2,8,624).
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There exist Steiner systems $S(2,7,505)$, $S(2,7,589)$, and $S(2,8,624)$
Explicit constructions establish the existence of Steiner systems S(2,7,505), S(2,7,589), and S(2,8,624).