Bounds on affine caps

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