Abstract
This chapter discusses the blocking sets in affine planes. AG(2,q) (PG(2,q)) denotes the affine (projective) plane over GF(q) the finite field of order q. π is considered as a finite projective plane of order n. A blocking set in π is a subset S of the points of π satisfying the two conditions: (1) each line of π contains one point in S and (2) each line of π contains one point not in S. S is irreducible if no proper subset of S is also a blocking set. This is equivalent to saying that each point P of S lies on at least one tangent to S. The chapter discusses the derivation of new bounds on the size of irreducible blocking sets in the classical projective planes.
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