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In this letter, we propose an adaptive SC (Successive Cancellation)-Listdecoder for polar codes with CRC. This adaptive SC-List decoder iterativelyincreases the list size until the decoder outputs contain at least one survivalpath which can pass CRC. Simulation shows that the adaptive SC-List decoderprovides significant complexity reduction. We also demonstrate that polar code(2048, 1024) with 24-bit CRC decoded by our proposed adaptive SC-List decoderwith very large list size can achieve a frame error rate FER=0.001 atEb/No=1.1dB, which is about 0.2dB from the information theoretic limit at thisblock length.

An Adaptive Successive Cancellation List Decoder for Polar Codes with Cyclic Redundancy Check