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Designing a practical, low complexity, close to optimal, channel decoder for powerful algebraic codes with short to moderate block length is an open research problem.
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M. Helmling, E. Rosnes, S. Ruzika, and S. Scholl, “Efficient maximum-likelihood decoding of linear block codes on binary memoryless channels,” in 2014 IEEE International Symposium on Information Theory . IEEE, 2014, pp. 2589–2593
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L. Lugosch and W. J. Gross, “Neural offset min-sum decoding,” arXiv preprint arXiv:1701.05931 , 2017
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