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An algorithm for list decoding number field codes
algorithm number field codes Number Theory
2011/9/5
Abstract: We present an algorithm for list decoding codewords of algebraic number field codes in polynomial time. This is the first explicit procedure for decoding number field codes whose constructio...
List-decoding of binary Goppa codes up to the binary Johnson bound
Error correcting codes, algebraic geometric codes list-decoding
2011/2/21
We study the list-decoding problem of alternant codes, with the notable case of classical Goppa codes. The major consideration here is to take into account the size of the alphabet, which shows great ...
A parametric approach to list decoding of Reed-Solomon codes using interpolation
list decoding of Reed-Solomon codes interpolation
2010/11/11
In this paper we present a minimal list decoding algorithm for Reed-Solomon (RS) codes. Minimal list decoding for a code $C$ refers to list decoding with radius $L$, where $L$ is the minimum of the d...