Minimal Defining Sets of the 2-(13,4,1) Designs – D1

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Design parameters are 2-(13,4,1), b=13

Blocks of the design are:
0139 028c 0457 06ab 124a 1568 17bc 235b 2679 346c 378a 489b 59ac
The design is simple

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Auto’m group order is 5616

All non-isomorphic minimal defining sets are:

0139 028c 0457 124a 1568 235b
Size=6 |Aut|=24
0139 028c 06ab 124a 1568 235b
Size=6 |Aut|=6

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Size Count
—- —–
6 2

Only 2 (non-isomorphic) minimal defining sets
Totally 1170 (inequivalent) minimal defining sets

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