Minimal Defining Sets of the 2-(7,3,1) Designs

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Design parameters are 2-(7,3,1), b=7

Blocks of the design are:
012 034 056 135 146 236 245
The design is simple

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Auto’m group order is 168

All non-isomorphic minimal defining sets are:

012 034 135
Size=3 |Aut|=6

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Size Count
—- —–
3 1

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

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See also http://www.itee.uq.edu.au/~gregg/4Anne/home.html