List decoding algorithms for certain concatenated codes

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List decoding algorithms for certain concatenated codes
We give efficient (polynomial-time) list-decoding algorithms for certain families of errorcorrecting codes obtained by "concatenation". Specifically, we give list-decoding algorithms for codes where the "outer code" is a Reed-Solomon or Algebraic-geometric code and the "inner code" is a Hadamard code. Codes obtained by such concatenation are the best known constructions of error-correcting codes with very large minimum distance. Our decoding algorithms enhance their nice combinatorial properties with algorithmic ones, by decoding these codes up to the currently known bound on their list-decoding "capacity". In particular, the number of errors that we can correct matches (exactly) the number of errors for which it is known that the list size is bounded by a polynomial in the length of the codewords.
Venkatesan Guruswami, Madhu Sudan
Added 25 Aug 2010
Updated 25 Aug 2010
Type Conference
Year 2000
Where STOC
Authors Venkatesan Guruswami, Madhu Sudan
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