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Andreas Thom
Andreas Thom
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jeff
jeff
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Let S be aany nontrivial blocking set in a projective plane of order q (i.e:, such that S doesn't contain anot containing any line).

Let Let A be a set of points in the same projective plane of order q, raging over all these S.

Is it true that if A$\cap$S != $\phi$ then |A| >= q+1 and equality exists only if A is a line?

Let S be a nontrivial blocking set in a projective plane of order q (i.e: S doesn't contain a line).

Let A be a set of points in the same projective plane of order q.

Is it true that if A$\cap$S != $\phi$ then |A| >= q+1 and equality exists only if A is a line?

Let S be any nontrivial blocking set in a projective plane of order q, such that S not containing any line. Let A be a set of points in the same projective plane of order q, raging over all these S.

Is it true that if A$\cap$S != $\phi$ then |A| >= q+1 and equality exists only if A is a line?

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jeff
jeff
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Blocking set in a projective plane.

Let S be a nontrivial blocking set in a projective plane of order q (i.e: S doesn't contain a line).

Let A be a set of points in the same projective plane of order q.

Is it true that if A$\cap$S != $\phi$ then |A| >= q+1 and equality exists only if A is a line?