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Cyclic redundancy check (CRC) aided polar codes are capable of achievingbetter performance than low-density parity-check (LDPC) codes under thesuccessive cancelation list (SCL) decoding scheme. However, the SCL decodingscheme suffers from very high space and time complexities. Especially, the highspace complexity is a major concern for adopting polar codes in modern mobilecommunication standards. In this paper, we propose a novel reduced-complexitysuccessive cancelation list (R-SCL) decoding scheme which is effective toreduce the space complexity. Simulation results show that, with a (2048, 1024)CRC-aided polar code, the R-SCL decoders with 25% reduction of space complexityand 8% reduction of time complexity can still achieve almost the sameperformance levels as those decoded by SCL decoders. To further reduce thecomplexity, we propose a multi-CRC coding scheme for polar codes. Simulationresults show that, with a (16384, 8192) multi-CRC-aided polar code, a R-SCLdecoder with about 85% reduction of space complexity and 20% reduction of timecomplexity results in a worst performance loss of only 0.04dB.

Reduced-Complexity SCL Decoding of Multi-CRC-Aided Polar Codes