Minimal Defining Sets of the 2-(7,3,2) Designs – D1

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Design parameters are 2-(7,3,2), b=14

Blocks of the design are:
013 013 026 026 045 045 124 124 156 156 235 235 346 346
The design is not simple, with support 7

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Auto’m group order is 168

All non-isomorphic minimal defining sets are:

013 013 026 026 124 124
Size=6 |Aut|=6

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Size Count
—- —–
6 1

Only 1 (non-isomorphic) minimal defining set
Totally 28 (inequivalent) minimal defining sets

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