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arXiv · 1202.1348

Selecting Two-Bit Bit Flipping Algorithms for Collective Error Correction

Dung Viet Nguyen·Bane Vasic·Michael W. Marcellin
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Abstract

A class of two-bit bit flipping algorithms for decoding low-density parity-check codes over the binary symmetric channel was proposed in [1]. Initial results showed that decoders which employ a group of these algorithms operating in parallel can offer low error floor decoding for high-speed applications. As the number of two-bit bit flipping algorithms is large, designing such a decoder is not a trivial task. In this paper, we describe a procedure to select collections of algorithms that work well together. This procedure relies on a recursive process which enumerates error configurations that are uncorrectable by a given algorithm. The error configurations uncorrectable by a given algorithm form its trapping set profile. Based on their trapping set profiles, algorithms are selected so that in parallel, they can correct a fixed number of errors with high probability.

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Dung Viet Nguyen, Bane Vasic, Michael W. Marcellin. 2012-02-07. Selecting Two-Bit Bit Flipping Algorithms for Collective Error Correction. https://arxiv.org/abs/1202.1348

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