On (v, k, λ)-configurations with v=4pe

Abstract

A (v, k, λ)-configuration, also called a symmetric balanced incomplete block design, is an arrangement of v distinct objects called points or varieties into v subsets called lines or blocks such that each line contains exactly k points and each pair of distinct lines contains exactly λ points in common. To avoid certain trivial configurations, one assumes that 0<λ<k<v–1.