Abstract
In order for all participants at video conference to communicate mutually, the conference key should be necessary. In this paper, we present the communication protocol that generates a conference key efficiently based on $(\upsilon,\kappa,\lambda)$-configuration, one class of block designs, which minimizes message transmission overhead needed for this key. Especially, in the case of ${\lambda}=1$, the protocol requires only $O(\sqrt[v]{v})$ messages, where v is the number of participants.
