More on the plane of order 10
We know that if the plane of order 10 contains a (3,1;21)t-design, it contains a 20-configuration defined in  (i.e. a 20-subset of the set of the points intersected by the lines in 0,2 or 4 points). Also if such a plane exists, it contains such a configuration. We investigate the relations between this 20-configuration and this (3,1;21)t-design.
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