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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...
An Iterative Joint Linear-Programming Decoding of LDPC Codes and Finite-State Channels
Iterative Joint Linear-Programming Decoding of LDPC Codes Finite-State Channels
2010/12/10
In this paper, we introduce an efficient method for the joint linear-programming (LP) decoding of low-density parity-check (LDPC) codes and finite-state channels (FSCs). In particular, we extend the a...