Geodesic
Mutually disjoint Steiner systems \(S\)(5, 8, 24) and 5-(24,12,48) designs
The electronic journal of combinatorics, Tome 17 (2010)
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We demonstrate that there are at least $50$ mutually disjoint Steiner systems $S(5,8,24)$ and there are at least $35$ mutually disjoint $5$-$(24,12,48)$ designs. The latter result provides the existence of a simple $5$-$(24,12,6m)$ design for $m= 24$, 32, 40, 48, 56, 64, 72, 80, 112, 120, 128, 136, 144, 152, 160, 168, 200, 208, 216, 224, 232, 240, 248 and 256.
DOI : 10.37236/450
Classification : 05B05
Mots-clés : mutually disjoint Steiner ssytems 
@article{10_37236_450,
     author = {Makoto Araya and Masaaki Harada},
     title = {Mutually disjoint {Steiner} systems {\(S\)(5,} 8, 24) and 5-(24,12,48) designs},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/450},
     zbl = {1197.05012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/450/}
}
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Makoto Araya; Masaaki Harada. Mutually disjoint Steiner systems \(S\)(5, 8, 24) and 5-(24,12,48) designs. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/450

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