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An Efficient Two-Stage Decoding Scheme for LDPC-CRC Concatenated Codes.

Lingjun Kong1, Haiyang Liu2, Yuezhuang Shi2,3

  • 1Faculty of Network and Telecommunication Engineering, Jinling Institute of Technology, Nanjing 211169, China.

Entropy (Basel, Switzerland)
|September 27, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a two-stage decoding scheme combining low-density parity-check (LDPC) and cyclic redundancy check (CRC) codes. The novel approach offers lower complexity and improved performance over traditional methods for error correction in communication systems.

Keywords:
concatenated codescyclic redundancy check (CRC) codelow-density parity-check (LDPC) codestwo-stage decoding

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Area of Science:

  • Electrical Engineering
  • Computer Science
  • Information Theory

Background:

  • Concatenation of Low-Density Parity-Check (LDPC) and Cyclic Redundancy Check (CRC) codes is standard for error correction in modern communication systems.
  • Traditional decoding methods, like Belief Propagation (BP), can be computationally intensive, especially with high iteration counts.

Purpose of the Study:

  • To propose a novel, low-complexity two-stage decoding scheme for concatenated LDPC-CRC codes.
  • To enhance the efficiency and performance of error correction in communication systems.

Main Methods:

  • A two-stage decoding process is introduced: first, a Belief Propagation (BP) algorithm with limited iterations for LDPC decoding.
  • If LDPC decoding fails, the Guessing Random Additive Noise Decoding (GRAND) algorithm is applied to the CRC code, followed by LDPC re-encoding and selection of the most likely codeword.

Main Results:

  • The proposed two-stage decoding approach demonstrates superior performance compared to traditional BP-based algorithms using a high number of iterations.
  • The average computational complexity of the new scheme is significantly lower.

Conclusions:

  • The proposed two-stage LDPC-CRC decoding scheme provides an effective and efficient alternative for error correction.
  • This method balances performance gains with reduced computational complexity, making it suitable for modern communication systems.