Multiplicatively Repeated Non-Binary LDPC Codes

Details Multiplicatively Repeated Non-Binary LDPC Codes Multiplicatively Repeated Non-Binary LDPC Codes

2010-04-29

arxiv.org/abs/1004.5367v2

Computer Science

Information Theory

To appear in IEEE Transactions on Information Theory

Scientific paper

We propose non-binary LDPC codes concatenated with multiplicative repetition codes. By multiplicatively repeating the (2,3)-regular non-binary LDPC mother code of rate 1/3, we construct rate-compatible codes of lower rates 1/6, 1/9, 1/12,... Surprisingly, such simple low-rate non-binary LDPC codes outperform the best low-rate binary LDPC codes so far. Moreover, we propose the decoding algorithm for the proposed codes, which can be decoded with almost the same computational complexity as that of the mother code.

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