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A Low-Complexity Bit-Embedding Decoder for Non-Binary LDPC Codes in F2q
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DOI：10.1109/LSP.2024.3469776.png)
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Abstract
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In this letter, a new decoder based on a bit-embedding technique for non-binary low-density parity-check (LDPC) codes over Galois fields of characteristic two (F-2q) is presented. The main content of this work is summarized in the following: first, we derive the equivalent binary codeword and binary parity-check matrix for non-binary LDPC codes in F-2q; second, a customized belief propagation algorithm utilizing a bit-embedding technique is proposed based on the formulated binary-check matrix; in the end, simulations results demonstrate that the proposed approach enjoys significant improvement on computational complexity, but almost similar error-correction performance in comparison with the state-of-the-art non-binary LDPC decoders.
Keywords:
Terms-Bit-embedding
belief propagation
galois fields of characteristic two
non-binary low-density parity-check (LDPC).
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