Mate Matolcsi, Mihaly Weiner
Published 2018-01-29Version 1
We apply an improvement of the Delsarte LP-bound to give a new proof of the non-existence of finite projective planes of order 6, and uniqueness of finite projective planes of order 7. The proof is computer aided, and it is also feasible to apply to higher orders like 8, 9 and, with further improvements, possibly 10 and 12.
An improvement on the number of simplices in $\mathbb{F}_q^d$
Planar functions over fields of characteristic two
Line Percolation in Finite Projective Planes
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