Computer enumeration yields many new 1-rotational Steiner systems, including 676 non-isomorphic 1-rotational unitals of order 4, far exceeding the 67 previously listed.
Steiner systems S(2
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abstract
In this paper new Steiner systems $S(2,6,121)$, $S(2,6,126)$, $S(2,7,169)$ are introduced. Also some non-existence results for line lengths $7..11$ are presented. There is no solid proof that presented algorithm is exhaustive or correct, but it produces same results on already known difference families for line lengths $3..6$. Due to calculation-based approach this paper probably won't be published, but will be submitted to arxiv as it contains some new results
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Enumerations of 1-rotational Steiner systems
Computer enumeration yields many new 1-rotational Steiner systems, including 676 non-isomorphic 1-rotational unitals of order 4, far exceeding the 67 previously listed.