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- W2085154920 abstract "In this paper, we compare the decoding error rates in the error floors for non-binary low-density parity-check (LDPC) codes over general linear groups with those for non-binary LDPC codes over finite fields transmitted through the q-ary memoryless symmetric channels under belief propagation decoding. To analyze non-binary LDPC codes defined over both the general linear group $mathrm{GL}(m,mathbb{F}_2)$ and the finite field $mathbb{F}_{2^m}$, we investigate non-binary LDPC codes defined over $mathrm{GL}(m_3,mathbb{F}_{2^{m_4}})$. We propose a method to lower the error floors for non-binary LDPC codes. In this analysis, we see that the non-binary LDPC codes constructed by our proposed method defined over general linear group have the same decoding performance in the error floors as those defined over finite field. The non-binary LDPC codes defined over general linear group have more choices of the labels on the edges which satisfy the condition for the optimization." @default.
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- W2085154920 date "2012-01-01" @default.
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- W2085154920 title "Analysis of Error Floors for Non-binary LDPC Codes over General Linear Group through <i>q</i>-Ary Memoryless Symmetric Channels" @default.
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- W2085154920 doi "https://doi.org/10.1587/transfun.e95.a.2113" @default.
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