Symmetric designs as the solution of an extremal problem in combinatorial set theory
A proof is given for the result that \(\nu <(k^2-k+\lambda)/\lambda\) for an equi-replicated, equi-set sized design in \(\nu\) symbols and set size \(k\), where any two sets intersect in at least \(\lambda\) symbols. The equality is attained for a symmetric balanced incomplete block design.
symmetric balanced incomplete block design
scientific article; zbMATH DE number 4066898