Nonsymmetric configurations with natural index

AbstractThe existence of nonsymmetric configurations (vr,bk) is discussed here for the first time as a general problem. By using results about resolvable and near-resolvable Steiner systems as well as difference triangle sets, the existence of all configurations with k = 3 is proved. For k⩾4 many infinite series of configurations with natural index are constructed, i.e. configurations where the number of blocks b is a multiple of the number of points v