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Mar 24, 2017 at 14:18 comment added monkeymaths Note that working in an arbitrary $F_p \times F_p$ for a prime number $p$ should yield a set $\mathcal{C}$ of lines with $m(\mathcal{C}) = p+1$, where the ground-set has size $n = p^2$. I don't know if the square root is optimal.
Mar 23, 2017 at 11:35 history edited Włodzimierz Holsztyński CC BY-SA 3.0
typo
Mar 23, 2017 at 11:08 history edited Włodzimierz Holsztyński CC BY-SA 3.0
a smaller example added
Mar 23, 2017 at 11:03 vote accept Dominic van der Zypen
Mar 23, 2017 at 10:47 history edited Włodzimierz Holsztyński CC BY-SA 3.0
a smaller example added
Mar 23, 2017 at 10:30 comment added Włodzimierz Holsztyński I should get a minimal example as well (I just got distracted by editing above answer :) ).
Mar 23, 2017 at 10:29 history edited Włodzimierz Holsztyński CC BY-SA 3.0
explicit set for (0 0)
Mar 23, 2017 at 10:24 history edited Włodzimierz Holsztyński CC BY-SA 3.0
explanation
Mar 23, 2017 at 10:18 comment added Dominic van der Zypen Can you describe this more concretely? I am afraid I don't understand your answer
Mar 23, 2017 at 10:15 history answered Włodzimierz Holsztyński CC BY-SA 3.0