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» List Decoding: Algorithms and Applications
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ESA
2000
Springer
84views Algorithms» more  ESA 2000»
13 years 11 months ago
On Representations of Algebraic-Geometric Codes for List Decoding
Abstract. We show that all algebraic-geometric codes possess a succinct representation that allows for the list decoding algorithms of [15, 7] to run in polynomial time. We do this...
Venkatesan Guruswami, Madhu Sudan
STOC
2005
ACM
120views Algorithms» more  STOC 2005»
14 years 7 months ago
Limits to list decoding Reed-Solomon codes
In this paper, we prove the following two results that expose some combinatorial limitations to list decoding ReedSolomon codes.
Venkatesan Guruswami, Atri Rudra
AAECC
2007
Springer
113views Algorithms» more  AAECC 2007»
14 years 1 months ago
Generalized Sudan's List Decoding for Order Domain Codes
Abstract. We generalize Sudan’s list decoding algorithm without multiplicity to evaluation codes coming from arbitrary order domains. The number of correctable errors by the prop...
Olav Geil, Ryutaroh Matsumoto
JSAC
2006
85views more  JSAC 2006»
13 years 7 months ago
Iterative algebraic soft-decision list decoding of Reed-Solomon codes
In this paper, we present an iterative soft-decision decoding algorithm for Reed
Mostafa El-Khamy, Robert J. McEliece
CORR
2010
Springer
131views Education» more  CORR 2010»
13 years 6 months ago
Ideal forms of Coppersmith's theorem and Guruswami-Sudan list decoding
: We develop a framework for solving polynomial equations with size constraints on solutions. We obtain our results by showing how to apply a technique of Coppersmith for finding ...
Henry Cohn, Nadia Heninger