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

Blocks of the design are:
0123456 012789a 012bcde 03478bc 0349ade 05679bd 0568ace 13578de 1359abc 1467acd 14689be 23679ce 2368abd 2457abe 24589cd
The design is simple

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Auto’m group order is 168

All non-isomorphic minimal defining sets are:

0123456 012789a 03478bc 05679bd 13578de 1467acd 23679ce
Size=7 |Aut|=3
0123456 012bcde 03478bc 05679bd 13578de 1467acd 23679ce
Size=7 |Aut|=1
012789a 012bcde 03478bc 05679bd 13578de 1467acd 23679ce
Size=7 |Aut|=1
0123456 012bcde 0349ade 05679bd 13578de 1467acd 23679ce
Size=7 |Aut|=1
012789a 012bcde 0349ade 05679bd 13578de 1467acd 23679ce
Size=7 |Aut|=1
012bcde 03478bc 0349ade 05679bd 13578de 1467acd 23679ce
Size=7 |Aut|=1
0123456 012789a 0349ade 0568ace 13578de 1467acd 23679ce
Size=7 |Aut|=3
012789a 012bcde 0349ade 0568ace 13578de 1467acd 23679ce
Size=7 |Aut|=1
012789a 03478bc 05679bd 0568ace 13578de 1467acd 23679ce
Size=7 |Aut|=1
012bcde 03478bc 05679bd 0568ace 13578de 1467acd 23679ce
Size=7 |Aut|=1
012789a 0349ade 05679bd 0568ace 13578de 1467acd 23679ce
Size=7 |Aut|=1
012bcde 0349ade 05679bd 0568ace 13578de 1467acd 23679ce
Size=7 |Aut|=1
012bcde 03478bc 05679bd 13578de 1467acd 23679ce 2457abe
Size=7 |Aut|=3
012bcde 0349ade 05679bd 1359abc 1467acd 23679ce 2457abe
Size=7 |Aut|=21

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Size Count
—- —–
7 14

Only 14 (non-isomorphic) minimal defining sets
Totally 1856 (inequivalent) minimal defining sets

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