Computational study classifies all minimal blocking sets in small Desarguesian projective planes, highlighting structural properties generalizable to higher orders.
A full classification (up to equivalence) of all minimal blocking sets in Desarguesian projective planes of order was obtained by computer. The resulting numbers of minimal blocking sets are tabulated according to size of the set and order of the automorphism group. For the minimal blocking sets with the larger automorphism groups explicit descriptions are given. Some of these results can also be generalised to Desarguesian projective planes of higher order.
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Coolsaet et al. (2022) studied this question.
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