A Problem Concerning Nonincident Points and Lines in Projective Planes

Details A Problem Concerning Nonincident Points and Lines in Projective Planes A Problem Concerning Nonincident Points and Lines in Projective Planes

2011-09-07

arxiv.org/abs/1109.1573v2

Mathematics

Combinatorics

Scientific paper

In this paper, we study the problem of finding the largest possible set of s
points and s lines in a projective plane of order q, such that that none of the
s points lie on any of the s lines. We prove that s <= 1+(q+1)(\sqrt{q}-1). We
also show that equality can be attained in this bound whenever q is an even
power of two.

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