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We present a practical strategy that aims to attain rate points on thedominant face of the multiple access channel capacity using a standard lowcomplexity decoder. This technique is built upon recent theoreticaldevelopments of Zhu and Gastpar on compute-forward multiple access (CFMA) whichachieves the capacity of the multiple access channel using a sequentialdecoder. We illustrate this strategy with off-the-shelf LDPC codes. In thefirst stage of decoding, the receiver first recovers a linear combination ofthe transmitted codewords using the sum-product algorithm (SPA). In the secondstage, by using the recovered sum-of-codewords as side information, thereceiver recovers one of the two codewords using a modified SPA, ultimatelyrecovering both codewords. The main benefit of recovering the sum-of-codewordsinstead of the codeword itself is that it allows to attain points on thedominant face of the multiple access channel capacity without the need ofrate-splitting or time sharing while maintaining a low complexity in the orderof a standard point-to-point decoder. This property is also shown to be crucialfor some applications, e.g., interference channels. For all the simulationswith single-layer binary codes, our proposed practical strategy is shown to bewithin \SI{1.7}{\decibel} of the theoretical limits, without explicitoptimization on the off-the-self LDPC codes.

Compute--Forward Multiple Access (CFMA): Practical Code Design