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Bounds on affine caps
Author(s) -
Bierbrauer Jürgen,
Edel Yves
Publication year - 2002
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.10000
Subject(s) - mathematics , affine transformation , combinatorics , fourier transform , upper and lower bounds , elementary proof , affine plane (incidence geometry) , discrete mathematics , pure mathematics , mathematical analysis , plane curve
We present a short and elementary proof for an upper bound on caps in affine spaces. The bound generalizes and strengthens a result by Meshulam. The proof is inspired by Meshulam's Fourier transform method without making explicit use of the Fourier transform. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 111–115, 2002; DOI 10.1002/jcd.10000