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Minimal Symmetric Differences of Lines in Projective Planes
Authors:Paul Balister  Béla Bollobás  Zoltán Füredi  John Thompson
Affiliation:1. Department of Mathematical Sciences, University of Memphis, USA;2. Alfréd Rényi Institute of Mathematics, Hungary;3. Department of Pure Mathematics and Mathematical Statistics, United Kingdom
Abstract:Let q be an odd prime power and let urn:x-wiley:10638539:media:jcd21390:jcd21390-math-0001 be the minimum size of the symmetric difference of r lines in the Desarguesian projective plane urn:x-wiley:10638539:media:jcd21390:jcd21390-math-0002. We prove some results about the function urn:x-wiley:10638539:media:jcd21390:jcd21390-math-0003, in particular showing that there exists a constant urn:x-wiley:10638539:media:jcd21390:jcd21390-math-0004 such that urn:x-wiley:10638539:media:jcd21390:jcd21390-math-0005 for urn:x-wiley:10638539:media:jcd21390:jcd21390-math-0006.
Keywords:Desarguesian projective planes  codes  blocking
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