A device to reduce bandwidth necessary for renewal of subscriptions for reception of broadcast services including: defining a plurality of sets of subscriber identification numbers, each set being associated with a product; splitting a set of subscriber identification numbers into groups of subscribers; searching for an available subscriber identification number related to the desired product at the time of initialization of a new subscriber; confirming that an inhibit duration has elapsed between the end of the previous subscription and the start of the new subscription; sending an initialization message to the new subscriber addressed with his unique identification address and containing the subscriber identification number of, and rights to, his product; preparing a group rights renewal message for the product to the group containing the subscriber identification number, this message comprising the group header containing this subscriber and a compressed bitmap for individually addressing each of the group members.