Generalized LDPC Codes With Low-Complexity Decoding and Fast Convergence

We consider generalized low-density parity-check (GLDPC) codes with component codes that are duals of Cordaro-Wagner codes. Two efficient decoding algorithms are proposed: one based on Hartmann-Rudolph processing, analogous to Sum-Product decoding, and another based on evaluating two hypotheses per...

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Bibliographic Details
Published in:IEEE wireless communications letters Vol. 14; no. 11; pp. 3700 - 3704
Main Authors: Simegn, Dawit, Artemasov, Dmitry, Andreev, Kirill, Rybin, Pavel, Frolov, Alexey
Format: Journal Article
Language:English
Published: Piscataway IEEE 01.11.2025
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
5G mobile communication
Algorithms
Codes
Convergence
Cordaro–Wagner codes
Decoding
decoding algorithms
density evolution
Error correcting codes
Generalized LDPC codes
Iterative decoding
Message passing
Pulse modulation
Schedules
Symbols
Training
ISSN:2162-2337, 2162-2345
Online Access:Get full text
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Summary:We consider generalized low-density parity-check (GLDPC) codes with component codes that are duals of Cordaro-Wagner codes. Two efficient decoding algorithms are proposed: one based on Hartmann-Rudolph processing, analogous to Sum-Product decoding, and another based on evaluating two hypotheses per bit, referred to as the Min-Sum decoder. Both algorithms are derived using latent variables and a appropriate message-passing schedule. A quantized, protograph-based density evolution procedure is used to optimize GLDPC codes for Min-Sum decoding. Compared to 5G LDPC codes, the proposed GLDPC codes offer similar performance at 50 iterations and significantly better convergence and performance at 10 iterations.
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content type line 14
ISSN:2162-2337
2162-2345
DOI:10.1109/LWC.2025.3600912