Vol. 5, No. 1, 2007

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On minimum size blocking sets of external lines to a quadric in PG($d,q$)

Paola Biondi, Pia Maria Lo Re and Leo Storme

Vol. 5 (2007), No. 1, 1–11
Abstract

We characterize the minimum size blocking sets with respect to the external lines to a non-singular quadric or a quadric with a point vertex in PG(d,q), d 4 and q 9. Our results show that these minimum size blocking sets are equal to the sets of points not on the quadric in a suitably chosen hyperplane with respect to the quadric.

Keywords
blocking sets, quadrics
Mathematical Subject Classification 2000
Primary: 05B25, 51E20, 51E21
Milestones
Received: 12 December 2006
Accepted: 5 April 2007
Authors
Paola Biondi
Pia Maria Lo Re
Leo Storme
State University of Ghent (RUG)
Belgium