An infinite family of 7-designs
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. © 2001 Elsevier Science B.V. All rights reserved.
An infinite family of 7-designs.
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