Minimal Defining Sets of the 3-(8,4,1) Designs – D1

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Design parameters are 3-(8,4,1), b=14

Blocks of the design are:
0123 0145 0167 0246 0257 0347 0356 1247 1256 1346 1357 2345 2367 4567
The design is simple

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Auto’m group order is 1344

All non-isomorphic minimal defining sets are:

0123 0145 0246
Size=3 |Aut|=6

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Size Count
—- —–
3 1

Only 1 (non-isomorphic) minimal defining set
Totally 224 (inequivalent) minimal defining sets

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