On the Multiple Threshold Decoding of LDPC codes over GF(q)

Alexey Frolov; Victor Zyablov

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arXiv · 1502.06871

On the Multiple Threshold Decoding of LDPC codes over GF(q)

Alexey Frolov·Victor Zyablov

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Abstract

We consider the decoding of LDPC codes over GF(q) with the low-complexity majority algorithm from [1]. A modification of this algorithm with multiple thresholds is suggested. A lower estimate on the decoding radius realized by the new algorithm is derived. The estimate is shown to be better than the estimate for a single threshold majority decoder. At the same time the transition to multiple thresholds does not affect the order of complexity.

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Alexey Frolov, Victor Zyablov. 2015-02-24. On the Multiple Threshold Decoding of LDPC codes over GF(q). https://arxiv.org/abs/1502.06871

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