Finite projective planes and the Delsarte LP-bound
Combinatorics
2018-01-30 v1
Abstract
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.
Cite
@article{arxiv.1801.09480,
title = {Finite projective planes and the Delsarte LP-bound},
author = {Mate Matolcsi and Mihaly Weiner},
journal= {arXiv preprint arXiv:1801.09480},
year = {2018}
}
Comments
11 pages