Minimum-Combinations Set-Based Rate-1 Decoder for Fast List Decoding of Polar Codes

Fast Simplified Successive-Cancellation List (Fast-SSCL) decoding has significantly reduced the decoding latency of polar codes by implementing fast parallel operations in local decoders. This letter presents a Minimum-Combinations (MC) set $\mathcal {C} $ to speed up the splitting process of Rate-1 decoder for fast list decoding of polar codes. The proposed set, eliminating the flipping bit indices combinations with less reliability, is collected in advance and only relative to the size of the list. The experiments demonstrate that compared with existing Fast-SSCL decoding, our proposed method achieves significant latency reduction while preserving the bit and frame error rate.