Publication: Analysis of Low-Density Parity-Check Codes over Finite Integer Rings for the Lee Channel
Analysis of Low-Density Parity-Check Codes over Finite Integer Rings for the Lee Channel
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Bariffi, J., Bartz, H., Liva, G., & Rosenthal, J. (2022). Analysis of Low-Density Parity-Check Codes over Finite Integer Rings for the Lee Channel. Proceedings of the IEEE Global Communications Conference, 3478–3483. https://doi.org/10.1109/globecom48099.2022.10000923
Abstract
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Abstract
We study the performance of nonbinary low-density parity-check (LDPC) codes over finite integer rings over two channels that arise from the Lee metric. The first channel is a discrete memory-less channel (DMC) matched to the Lee metric. The second channel adds to each codeword an error vector of constant Lee weight, where the error vector is picked uniformly at random from the set of vectors of constant Lee weight. It is shown that the marginal conditional distributions of the two channels coincide, in the limit of large block length.
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Citations
Bariffi, J., Bartz, H., Liva, G., & Rosenthal, J. (2022). Analysis of Low-Density Parity-Check Codes over Finite Integer Rings for the Lee Channel. Proceedings of the IEEE Global Communications Conference, 3478–3483. https://doi.org/10.1109/globecom48099.2022.10000923