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CODES
2003
IEEE
14 years 1 months ago
A fast parallel reed-solomon decoder on a reconfigurable architecture
This paper presents a software implementation of a very fast parallel Reed-Solomon decoder on the second generation of MorphoSys reconfigurable computation platform, which is targ...
Arezou Koohi, Nader Bagherzadeh, Chengzi Pan
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
CORR
2010
Springer
80views Education» more  CORR 2010»
13 years 8 months ago
New Set of Codes for the Maximum-Likelihood Decoding Problem
The maximum-likelihood decoding problem is known to be NP-hard for general linear and Reed-Solomon codes [1, 4]. In this paper, we introduce the notion of A-covered codes, that is...
Morgan Barbier
STOC
2001
ACM
163views Algorithms» more  STOC 2001»
14 years 8 months ago
Extractor codes
We study error-correcting codes for highly noisy channels. For example, every received signal in the channel may originate from some half of the symbols in the alphabet. Our main c...
Amnon Ta-Shma, David Zuckerman
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 9 months ago
Artin automorphisms, cyclotomic function fields, and folded list-decodable codes
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...
Venkatesan Guruswami