1999arXiv (Cornell University)Open access

On Blocking Sets of Affine Spaces

Ara Aleksanyan, Mihran Papikian

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Abstract

We consider the problem of finding the minimal number of points required to intersect all lines in an affine space over the finite field of order 3. We also consider the problem of finding the minimal number of points required to intersect all two dimensional affine subspaces in an affine space over the field of order 2.

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We consider the problem of finding the minimal number of points required to intersect all lines in an affine space over the finite field of order 3. We also consider the problem of finding the minimal number of points required to intersect all two dimensional affine subspaces in an affine space over the field of order 2.

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Available abstract

We consider the problem of finding the minimal number of points required to intersect all lines in an affine space over the finite field of order 3. We also consider the problem of finding the minimal number of points required to intersect all two dimensional affine subspaces in an affine space over the field of order 2.

Key concepts: Affine transformation, Linear subspace, Affine space, Affine coordinate system, Mathematics, Affine hull, Affine plane (incidence geometry), Affine combination

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