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On minimum size blocking sets of the outer tangents to a hyperbolic quadric in PG(3,q)

2019
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Finite Fields and Their Applications
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Let Q + (3, q) be a hyperbolic quadric in PG(3, q) and T 1 be the set of all lines of PG(3, q) meeting Q + (3, q) in singletons (the so-called outer tangents). If k is the minimum size of a T 1 -blocking set in PG(3, q), then we prove that k ≥ q 2 − 1. It is known that there is no T 1 -blocking set of size q 2 − 1 for q > 2 even and that there is a unique (up to isomorphism) T 1 -blocking set of size 3 for q = 2. For q = 3, we prove as well that there is a unique T 1 -blocking set of size 8.

doi:10.1016/j.ffa.2018.11.002
fatcat:nszabsrc4rgwhddfe53tm65tua