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This paper presents a soft reliability-based binary message-passing algorithm for decoding LDPC codes. This algorithm outperforms the existing weighted bit-flipping algorithms with much less computational complexity. It is particularly effective for decoding LDPC codes constructed based on finite-geometries and finite fields. The proposed algorithm can be simplified for applications in communication...
Besides turbo codes, low-density parity-check (LDPC) codes form another class of Shannon limit-approaching codes. Their large coding gains are mostly due to the decoding algorithm, termed message passing algorithm (MPA) or sum-product algorithm (SPA).
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