Decoding of NB-LDPC codes over subfields

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Non-binary low-density parity-check (NB-LDPC) codes can offer promising performance advantages but suffer from high decoding complexity. To tackle this challenge, in this paper, we consider NB-LDPC codes over finite fields as codes over subfields as a means of reducing decoding complexity. In particular, our approach is based on a novel method of expanding a non-binary Tanner graph over a finite field into a graph over a subfield. This approach offers several decoding strategies for a single NB-LDPC code, with varying levels of performance-complexity trade-offs. Simulation results demonstrate that in a majority of cases, performance loss is minimal when compared with the complexity gains.

Original languageEnglish
Number of pages12
JournalIEEE Transactions on Communications
Issue number2
Publication statusPublished - Feb 2021


  • Additives
  • Complexity theory
  • Decoding
  • Graph expansion
  • Iterative decoding
  • Kernel
  • Memory management
  • Non-binary LDPC codes
  • Parity check codes
  • Simulation

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