Successive Cancellation List Flipping for Short Polar Codes Based on Row Weights of Generator Matrix

2021 
Benefiting from the powerful cyclic redundancy check aided successive cancellation list (CA-SCL) decoder, the polar codes have achieved competitive performances with respect to LDCP codes. However, its short codeword performance needs to be further improved for supporting reliable short package transmissions typically in massive machine-type communications (mMTC). In this paper, the short polar coding problem is tackled by developing a bit-flipping aided CA-SCL detection method. First, we reveal that error distribution of SCL decoding strongly relates to the row weights of generator matrix. Accordingly, we determine the flipping indices according to both their row weights and their polarized bit-channel reliabilities. The simulation results show that our row weight based successive cancellation list flipping (RWB-SCL-Flipping) decoding achieves around 0.3 dB gain compared with its counterpart in [1] while transmitting short codewords over AWGN channels.
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