Minimal Defining Sets of the 2-(6,3,4) Designs – D2

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Design parameters are 2-(6,3,4), b=20

Blocks of the design are:
012 012 013 013 024 024 035 035 045 045 125 125 134 134 145 145 234 234 235 235
The design is not simple, with support 10

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Auto’m group order is 60

All non-isomorphic minimal defining sets are:

012 012 013 013 024 024
Size=6 |Aut|=2

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Size Count
—- —–
6 1

Only 1 (non-isomorphic) minimal defining set
Totally 30 (inequivalent) minimal defining sets

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