Abstract
A family ℱ of ρ conics in PG(2,q) is called saturated if any line L⊂PG(2,q) is incident with at least one conic of the family. Then, if ρ<(q+1)/2, the ‘support’ of ℱ is a (k,n)-blocking set. It is shown that in this way one can get blocking sets whose character n is ‘small’ compared to q; it is also shown that ρ cannot be taken independent of q, but must necessarily increase as q does.
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Ughi, E. On (k, n)-blocking sets which can be obtained as a union of conics. Geom Dedicata 26, 241–245 (1988). https://doi.org/10.1007/BF00183016
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DOI: https://doi.org/10.1007/BF00183016