The Local Rarest Bundle First (LRBF) and Local Rarest Generation First (LRGF), content distribution strategies for delayed-tolerance networks (DTNs), reach high delivery rate in the vehicular ad-hoc networks (VANETs), where intermittent connectivity due to permanent network fragmentation and node mobility are main challenges. However, in order to achieve a high delivery rate, both strategies require each node to periodically transmit control packets with information about the availability of its resources to its neighbors. This large amount of control packets causes overhead on the network. To overcome this effect, we are proposing a content distribution strategy based on a Bloom Filter. The results showed that our strategy significantly reduced the size of control packets decreasing the network overhead. Besides that, the number of nodes that obtains the least disseminated packets is much smaller.