Abstract:

A one-restricted key agreement scheme is a method by which initially a trusted authority distributes private individual pieces of information to a set of users. Later, each member of any group of users of a given size, referred to as a conference , can compute a common key by exchanging messages over a broadcast channel all users have access to. Such schemes can be used to establish only one common key.

In this paper we analyze [\tau]-restricted key agreement schemes. Such schemes allow the computation of up to [\tau] common keys for [\tau] distinct conferences. For certain values of the parameters the scheme that we propose distributes less information than the trivial one obtained by considering [\tau] copies of a one-restricted scheme.