Recent results on designs with classical parameters

Abstract

We report on recent results concerning designs with the same parameters as the classical geometric designs P G d (n, q) formed by the points and d-dimensional subspaces of the n-dimensional projective space P G(n, q) over the field GF (q) with q elements, where 1 ≤ d ≤ n − 1. The corresponding case of designs with the same parameters as the classical geometric designs AG d (n, q) formed by the points and d-dimensional subspaces of the n-dimensional affine space AG(n, q) will also be discussed, albeit in less detail.Mathematics Subject Classification (2010). 05B05, 51E20, 94B27.