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- W1987942012 abstract "Gopalan, Klivans, and Zuckerman proposed a list-decoding algorithm for Reed-Muller codes. Their algorithm works up to a given list-decoding radius. Dumer, Kabatiansky, and Tavernier improved the complexity of the algorithm for binary Reed-Muller codes by using the well-known Plotkin construction. In this study, we propose a list-decoding algorithm for non-binary Reed-Muller codes as a generalization of Dumer et al.'s algorithm. Our algorithm is based on a generalized Plotkin construction, and is more suitable for parallel computation than the algorithm of Gopalan et al. Since the list-decoding algorithms of Gopalan et al., Dumer et al., and ours can be applied to more general codes than Reed-Muller codes, we give a condition for codes under which these list-decoding algorithms works." @default.
- W1987942012 created "2016-06-24" @default.
- W1987942012 creator A5080094737 @default.
- W1987942012 date "2013-01-01" @default.
- W1987942012 modified "2023-09-23" @default.
- W1987942012 title "List Decoding of Reed-Muller Codes Based on a Generalized Plotkin Construction" @default.
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- W1987942012 doi "https://doi.org/10.1587/transfun.e96.a.1662" @default.
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