Design of Parity-Check Concatenated Polar Codes From EBCH Codes

Aolin Liu; Bowen Feng; Ke Zhang; Ye Wang; Qinyu Zhang

doi:10.1109/LCOMM.2025.3644397

Design of Parity-Check Concatenated Polar Codes From EBCH Codes

Aolin Liu
, Bowen Feng^*
, Ke Zhang
, Ye Wang
, Qinyu Zhang

^*Corresponding author for this work

Peng Cheng Laboratory
Harbin Institute of Technology Shenzhen

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Error detection is a critical function of channel coding in practical communication systems. Through a combination of theoretical analysis and experimental validation, it is concluded that the undetected error rate (UER) in the high signal-to-noise ratio (SNR) regime is predominantly determined by the code weight distribution. Existing polar code constructions based on extended BCH (EBCH) codes exhibit outstanding weight distribution properties. Building on this, a conversion strategy is proposed to transform dynamic frozen bits into parity-check (PC) bits, thereby incorporating error detection capability into the designed decoder. Simulation results demonstrate that the proposed schemes outperform cyclic redundancy check (CRC) concatenated polar codes in both block error rate (BLER) and UER under high-SNR conditions.

Original language	English
Pages (from-to)	552-556
Number of pages	5
Journal	IEEE Communications Letters
Volume	30
DOIs	https://doi.org/10.1109/LCOMM.2025.3644397
State	Published - 2026
Externally published	Yes

Keywords

EBCH codes
Polar codes
UER
minimum weight
parity check

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10.1109/LCOMM.2025.3644397

Cite this

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title = "Design of Parity-Check Concatenated Polar Codes From EBCH Codes",

abstract = "Error detection is a critical function of channel coding in practical communication systems. Through a combination of theoretical analysis and experimental validation, it is concluded that the undetected error rate (UER) in the high signal-to-noise ratio (SNR) regime is predominantly determined by the code weight distribution. Existing polar code constructions based on extended BCH (EBCH) codes exhibit outstanding weight distribution properties. Building on this, a conversion strategy is proposed to transform dynamic frozen bits into parity-check (PC) bits, thereby incorporating error detection capability into the designed decoder. Simulation results demonstrate that the proposed schemes outperform cyclic redundancy check (CRC) concatenated polar codes in both block error rate (BLER) and UER under high-SNR conditions.",

keywords = "EBCH codes, Polar codes, UER, minimum weight, parity check",

author = "Aolin Liu and Bowen Feng and Ke Zhang and Ye Wang and Qinyu Zhang",

note = "Publisher Copyright: {\textcopyright} 1997-2012 IEEE.",

year = "2026",

doi = "10.1109/LCOMM.2025.3644397",

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pages = "552--556",

journal = "IEEE Communications Letters",

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T1 - Design of Parity-Check Concatenated Polar Codes From EBCH Codes

AU - Liu, Aolin

AU - Feng, Bowen

AU - Zhang, Ke

AU - Wang, Ye

AU - Zhang, Qinyu

PY - 2026

Y1 - 2026

N2 - Error detection is a critical function of channel coding in practical communication systems. Through a combination of theoretical analysis and experimental validation, it is concluded that the undetected error rate (UER) in the high signal-to-noise ratio (SNR) regime is predominantly determined by the code weight distribution. Existing polar code constructions based on extended BCH (EBCH) codes exhibit outstanding weight distribution properties. Building on this, a conversion strategy is proposed to transform dynamic frozen bits into parity-check (PC) bits, thereby incorporating error detection capability into the designed decoder. Simulation results demonstrate that the proposed schemes outperform cyclic redundancy check (CRC) concatenated polar codes in both block error rate (BLER) and UER under high-SNR conditions.

AB - Error detection is a critical function of channel coding in practical communication systems. Through a combination of theoretical analysis and experimental validation, it is concluded that the undetected error rate (UER) in the high signal-to-noise ratio (SNR) regime is predominantly determined by the code weight distribution. Existing polar code constructions based on extended BCH (EBCH) codes exhibit outstanding weight distribution properties. Building on this, a conversion strategy is proposed to transform dynamic frozen bits into parity-check (PC) bits, thereby incorporating error detection capability into the designed decoder. Simulation results demonstrate that the proposed schemes outperform cyclic redundancy check (CRC) concatenated polar codes in both block error rate (BLER) and UER under high-SNR conditions.

KW - EBCH codes

KW - Polar codes

KW - UER

KW - minimum weight

KW - parity check

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DO - 10.1109/LCOMM.2025.3644397

M3 - 文章

AN - SCOPUS:105025425389

SN - 1089-7798

VL - 30

SP - 552

EP - 556

JO - IEEE Communications Letters

JF - IEEE Communications Letters

ER -

Design of Parity-Check Concatenated Polar Codes From EBCH Codes

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Keywords

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