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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 2367acd 23689be 2457abe 24589cd
The design is simple

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Auto’m group order is 576

All non-isomorphic minimal defining sets are:

0123456 012789a 03478bc 0349ade 05678de 13579bd 1358ace 14679ce 2367acd
Size=9 |Aut|=4
0123456 012bcde 03478bc 0349ade 05678de 13579bd 1358ace 14679ce 2367acd
Size=9 |Aut|=2
0123456 012789a 0349ade 05678de 0569abc 13579bd 1358ace 14679ce 2367acd
Size=9 |Aut|=4
0123456 012789a 0349ade 05678de 13579bd 14679ce 2367acd 23689be
Size=8 |Aut|=4
012bcde 03478bc 0349ade 05678de 13579bd 14679ce 2367acd 23689be
Size=8 |Aut|=2
03478bc 0349ade 05678de 13579bd 1358ace 14679ce 2367acd 23689be 2457abe
Size=9 |Aut|=36
03478bc 0349ade 0569abc 13579bd 1358ace 14679ce 2367acd 23689be 2457abe
Size=9 |Aut|=12

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Size Count
—- —–
8 2
9 5

Only 7 (non-isomorphic) minimal defining sets
Totally 1072 (inequivalent) minimal defining sets

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