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Design parameters are 2-(9,3,2), b=24

Blocks of the design are:
012 012 034 034 056 056 078 078 135 135 147 147 168 168 238 238 246 246 257 257 367 367 458 458
The design is not simple, with support 12

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Auto’m group order is 432

All non-isomorphic minimal defining sets are:

012 012 034 034 056 056 135 135 147 147
Size=10 |Aut|=2
056 056 078 078 135 135 147 147
Size=8 |Aut|=8

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Size Count
—- —–
8 1
10 1

Only 2 (non-isomorphic) minimal defining sets
Totally 270 (inequivalent) minimal defining sets

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