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CODES
2003
IEEE
15 years 4 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»
15 years 12 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
92
Voted
CORR
2010
Springer
80views Education» more  CORR 2010»
14 years 11 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»
15 years 12 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»
16 years 6 days 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