Correction to: “Exponential bounds on the number of designs with affine parameters”

It is well known that the number of designs with the parameters of a classical design having as blocks the hyperplanes in PG ( n, q ) or AG ( n, q ), n ⩾3, grows exponentially. This result was extended recently [5] to designs having the same parameters as a projective geometry design whose blocks are the d ‐subspaces of PG ( n, q ), for any 2⩽ d ⩽ n − 1. In this paper, exponential lower bounds are proved on the number of non‐isomorphic designs having the same parameters as an affine geometry design whose blocks are the d ‐subspaces of AG ( n, q ), for any 2≤ d ≤ n − 1. Exponential bounds are also proved for the number of resolvable designs with these parameters. © 2011 Wiley Periodicals, Inc. J Combin Designs 19:156‐166, 2011