A LOW POWER NETWORK WITH EXTENDED COVERAGE

A relaying module (68) includes a radio interface (88) and a processor (84). The radio interface is configured to wirelessly receive uplink messages originating in a wireless device (24) that communicates messages with a Base Station (BS) (32) in a communication network (20), and wirelessly transmit repeated uplink messages of at least some of the received uplink messages toward the BS. The processor is configured to hold one or more transmission constraints that define limitations of using network resources for wireless transmissions in the communication network, to receive one or more uplink messages from the wireless device, to select at least some of the received uplink messages for repeated transmission, to allocate to the selected uplink messages respective network resources so as to maximize performance of the communication network under the transmission constraints, and to transmit the selected messages as repeated messages toward the BS, in accordance with the allocated network resources.