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» Limits to list decoding Reed-Solomon codes
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CATS
2007
15 years 5 months ago
Quantum List Decoding from Quantumly Corrupted Codewords for Classical Block Codes of Polynomially Small Rate
d Abstract) Tomoyuki Yamakami Department of Computer Software, University of Aizu 90 Kami-Iawase, Tsuruga, Ikki-machi, Fukushima 965-8580, Japan Our task of quantum list decoding ...
Tomoyuki Yamakami
137
Voted
TIT
2008
110views more  TIT 2008»
15 years 3 months ago
Explicit Codes Achieving List Decoding Capacity: Error-Correction With Optimal Redundancy
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
Venkatesan Guruswami, Atri Rudra
CORR
2010
Springer
131views Education» more  CORR 2010»
15 years 2 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
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
16 years 4 months ago
Explicit capacity-achieving list-decodable codes
For every 0 < R < 1 and > 0, we present an explicit construction of error-correcting codes of rate R that can be list decoded in polynomial time up to a fraction (1 - R ...
Venkatesan Guruswami, Atri Rudra
133
Voted
JSAC
2010
180views more  JSAC 2010»
14 years 10 months ago
List Decoding Techniques for Intersymbol Interference Channels Using Ordered Statistics
In this paper, we present a generalization of the ordered statistics decoding (OSD) techniques for the class of intersymbol interference (ISI) channels, and show decoding results f...
Fabian Lim, Aleksandar Kavcic, Marc P. C. Fossorie...