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Design parameters are 2-(15,7,3), b=15

Blocks of the design are:
0123456 012789a 012bcde 03478bc 0349ade 05678de 0569abc 13579bd 1358ace 14679ce 1468abd 2367abe 23689cd 2457acd 24589be
The design is simple

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Auto’m group order is 20160

All non-isomorphic minimal defining sets are:

0123456 012789a 012bcde 03478bc 0349ade 05678de 13579bd 1358ace 14679ce 2367abe
Size=10 |Aut|=120
012789a 012bcde 03478bc 0349ade 0569abc 13579bd 1358ace 14679ce 2367abe
Size=9 |Aut|=72

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Size Count
—- —–
9 1
10 1

Only 2 (non-isomorphic) minimal defining sets
Totally 448 (inequivalent) minimal defining sets

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