Finite Projective Planes and the Delsarte LP-Bound

M. Matolcsi, M. Weiner

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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.

Original languageEnglish
Pages (from-to)89-98
Number of pages10
JournalAnalysis Mathematica
Volume44
Issue number1
DOIs
Publication statusPublished - Mar 1 2018

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ASJC Scopus subject areas

  • Mathematics(all)

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