A Pair of Disjoint 3-GDDs of type g^t u^1.

link: http://arxiv.org/abs/1008.4408
Abstract

Pairwise disjoint 3-GDDs can be used to construct some optimal
constant-weight codes. We study the existence of a pair of disjoint 3-GDDs of
type $g^t u^1$ and establish that its necessary conditions are also sufficient.