The size of m-irreducible blocking sets and of the sets of class image Original Research Article

We provide an upper bound of the size of an m-irreducible blocking set in a linear space. This upper bound is a generalization of the Bruen–Thas bound in image and improves it if image. We prove that in a finite affine plane image of order q, two blocking sets mutually complementary are both irreducible, if and only if image. Moreover, we determine bounds of the size of a set of class image in image, image, image, image.