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More on the existence of small quasimultiples of affine and projective planes of arbitrary order

✍ Scribed by Alan C. H. Ling

Publisher: John Wiley and Sons
Year: 2001
Tongue: English
Weight: 112 KB
Volume: 9
Category: Article
ISSN: 1063-8539
DOI: 10.1002/jcd.1006

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✦ Synopsis

Abstract

The functions a(n) and p(n) are defined to be the smallest integer λ for which λ‐fold quasimultiples affine and projective planes of order n exist. It was shown by Jungnickel [J. Combin. Designs 3 (1995), 427–432] that a(n),p(n) < n^10^ for sufficiently large n. In the present paper, we prove that a(n),p(n) < n^3^. © 2001 John Wiley & Sons, Inc. J Combin Designs 9: 182–186, 2001

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