The disclosure pertains generally to wireless communications, more particularly to the exploitation of channel gain information, advantageously where more than two transmitter/receiver pairs transmit information over a shared medium. The disclosure applies distributed interference compression (23) at the receivers (receiver 1 (8),..., receiver k (9),..., and receiver K (10)) and repetition coding (13) at the transmitters (transmitter 1 (1),..., transmitter k (2),..., transmitter K (3)). Repetition coding repeats the same symbol stream (11) several times and the distributed interference compression (23) reduces the number of interference retransmissions (15) required to obtain the interference free signal (26). The throughput achieved by previous solutions is limited to two symbols per time slot, whereas in the present disclosure throughput is enhanced and proportional to the square root of the number of transmitter/receiver pairs considered.