Reduced-Complexity Belief Propagation Decoding for Polar Codes

Kim, Jung Hyun; Kim, Inseon; Kim, Gangsan; Song, Hong‐Yeop

doi:10.1587/transfun.e100.a.2052

Cited by 2 publications

(1 citation statement)

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“…In the factor graph of the IC-LDPC Polar codes with length N = 2 n , the polar code part has n + 1 stages, and each stage has N nodes, and (i, j) represents the jth node in stage i. The basic computational blocks (BCBs) [36] of the polar code are shown in figure 4(a). When N, there are n × N/2 BCBs, and each BCB is connected to four nodes.…”

Section: Encoding and Decoding For Ic-ldpc Polar Codes In Reconciliat...mentioning

confidence: 99%

IC-LDPC Polar codes-based reconciliation for continuous-variable quantum key distribution at low signal-to-noise ratio

Cao¹,

Chen²,

Chai³

et al. 2023

Laser Phys. Lett.

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The error correction of information reconciliation affects the performance of the continuous-variable quantum key distribution (CV-QKD). Polar codes can be strictly proven to reach the Shannon-limit. However, due to the insufficient polarization of finite code-length, partial subchannels are neither completely noise-free nor completely noisy. In this paper, an intermediate channel low-density parity check code concatenated polar code (IC-LDPC Polar codes)-based reconciliation for CV-QKD is proposed for the above shortcomings. The experimental results show that the reconciliation efficiency of IC-LDPC Polar code can be over 98% when the signal-to-noise ratio is from −13.2 dB to −20.8 dB, the secret keys can be extracted, and the minimum frame error rate (FER) is 0.19. Therefore, the proposed scheme can improve the reconciliation efficiency and reduce the FER at a very low signal-to-noise ratio range, and it is more useful for a practical long-distance CV-QKD system.

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Section: Encoding and Decoding For Ic-ldpc Polar Codes In Reconciliat...mentioning

confidence: 99%