ABSTRACT
Suppose G is an Abelian group of order v, written in additive notation, and suppose B is a set of k elements of G. Then the design generated from B (in G) consists of all the blocks
{B + g : g ∈ G}. It is a block design with b = v and r = k. This process of “generation” is also called developing B in G; if G is Zv, we say “developing B mod v.”
