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» Limits to list decoding Reed-Solomon codes
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CATS
2007
13 years 9 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
TIT
2008
110views more  TIT 2008»
13 years 7 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»
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
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 8 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
JSAC
2010
180views more  JSAC 2010»
13 years 2 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...