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Article overview
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Power Decoding Reed--Solomon Codes Up to the Johnson Radius | Johan S. R. Nielsen
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8 May 2015 | Abstract: | Power decoding, or "decoding using virtual interleaving" is a technique for
decoding Reed--Solomon codes up to the Sudan radius. Since the method’s
inception, it has been an open question if it possible to incorporate
"multiplicities", the parameter allowing the Guruswami--Sudan algorithm to
decode up to the Johnson radius. In this paper we show how this can be done,
and describe how to efficiently solve the resulting key equations. We
investigate its failure behaviour theoretically as well as giving simulation
results, and we show how the method can be made practically faster using the
re-encoding technique or a syndrome formulation. | Source: | arXiv, 1505.2111 | Services: | Forum | Review | PDF | Favorites |
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