An infinite family of 7-designs Original Research Article

We study designs in the binary affine space invariant under the affine group in its 3-transitive action. The main result is a family 7-(2n,8,45), n⩾6 of non-simple designs. We also obtain 5-(2n,6,3) for every n⩾3 and 5-(2n,7,7(2n−16)/2) for every even n⩾6.