[Licensing negotiation in progress] [Invitation for Expression of Interest - Deadline: 16 June 2016] Systems and methods include a first wireless local area network (WLAN) system that jointly exploit physical-layer network coding (PNC) and multi-user decoding (MUD) to boost system throughput. This multiple access mode is referred to as Network-Coded Multiple Access (NCMA). NCMA allows multiple nodes to transmit simultaneously to the access point (AP) to boost throughput in a non-relay environment. When two nodes A and B transmit to the AP simultaneously, the AP desires to obtain both packet A and packet B rather than their network-coded packet.