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$(22_4)$ and $(26_4)$ configurations of lines

Published 2 May 2017 in math.CO | (1705.00927v1)

Abstract: We present a technique to produce arrangements of lines with nice properties. As an application, we construct $(22_4)$ and $(26_4)$ configurations of lines. Thus concerning the existence of geometric $(n_4)$ configurations, only the case $n=23$ remains open.

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