Steiner systems $S(5,6,v)$ with $v=72$ and $84$

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Steiner systems S(5,6, v) with . . .

It is proved that there are precisely 4204 pairwise non-isomorphic Steiner systems S(5, 6, 72) invariant under the group PSL2(71) and which can be constructed using only short orbits. It is further proved that there are precisely 38717 pairwise non-isomorphic Steiner systems S(5, 6, 84) invariant under the group PSL2(83) and which can be constructed using only short orbits.

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ژورنال

عنوان ژورنال: Mathematics of Computation of the American Mathematical Society

سال: 1998

ISSN: 0025-5718,1088-6842

DOI: 10.1090/s0025-5718-98-00924-7