Multiplicatively Repeated Nonbinary LDPC Codes
Copyright policy )Multiplicatively Repeated Nonbinary LDPC Codes
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.
To appear in IEEE Transactions on Information Theory
FOS: Computer and information sciences, [MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], Computer Science - Information Theory, Information Theory (cs.IT), [INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT]
FOS: Computer and information sciences, [MATH.MATH-IT] Mathematics [math]/Information Theory [math.IT], Computer Science - Information Theory, Information Theory (cs.IT), [INFO.INFO-IT] Computer Science [cs]/Information Theory [cs.IT]
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