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This paper presents non-binary polar codes for the two-user multiple-accesschannel (MAC). The bit error rate (BER) performances of the non-binary polarcodes with different kernel factors have been investigated in detail to selecta proper parameter from GF(q) for the generator matrix. Furthermore, thesuccessive cancellation decoding for the non-binary polar codes in the two-userMAC is introduced in detail. Simulation results show that the choice of thekernel factors has a significant impact on the block error rate (BLER)performance; moreover, the non-binary polar codes provide a better BLERperformance than their binary counterpart in the two-user MAC.

Non-Binary Polar Coded System for the Two-User Multiple-Access Channel