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{\bf Makoto Araya and Masaaki Harada}
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{\bf Mutually Disjoint Steiner Systems $S(5, 8, 24)$ and $5$-$(24,12,48)$ Designs}
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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.



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