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More on the existence of small quasimultiples of affine and projective planes of arbitrary order
Author(s) -
Ling Alan C. H.
Publication year - 2001
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/jcd.1006
Subject(s) - mathematics , combinatorics , affine transformation , projective plane , order (exchange) , projective test , integer (computer science) , discrete mathematics , pure mathematics , geometry , computer science , finance , economics , correlation , programming language
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