New Constructions of Affine Blocking Sets
New Constructions of Affine Blocking Sets

Summary/Abstract: A t-fold blocking set with respect to the hyperplanes is a set of n points in AG(r,q) that meets each hyperplane in at least t points.The cardinality of such blocking set satisfies the following lower bound known as Bruen's bound : n≥ (t+r-1)(q-1)+1.Several classes of blocking sets meeting Bruen's bound are know . It is conjectured that there exists a constant C such that for t>C there exist no affine t-fold blocking sets meeting this bound. In this talk, wepresent several new constructions of affine t-fold blocking sets that are close to Bruen's bound.

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