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The authors consider the uplink of two mobile stations with the help of one common relay. Recently, joint network-channel coding based on LDPC codes was proposed for this setup where the channel codes at the mobile stations and the network code at the relay form one distributed LDPC code. This approach allows to gain diversity with a higher rate compared to a relay system without network coding. They propose a practical joint network-channel code that follows the structure of the WiMax IEEE 802.16e LDPC code, and that benefits from efficient linear time encoding and reduced storage requirements. They show how to use a modified high girth code at the relay that allows to gain diversity.
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