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ESA
2000
Springer
84views Algorithms» more  ESA 2000»
13 years 8 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
ICC
2007
IEEE
127views Communications» more  ICC 2007»
13 years 10 months ago
Efficient Factorisation Algorithm for List Decoding Algebraic-Geometric and Reed-Solomon Codes
— The list decoding algorithm can outperform the conventional unique decoding algorithm by producing a list of candidate decoded messages. An efficient list decoding algorithm fo...
L. Chen, Rolando A. Carrasco, Martin Johnston, E. ...
FOCS
2003
IEEE
13 years 9 months ago
Proving Hard-Core Predicates Using List Decoding
We introduce a unifying framework for proving that predicate P is hard-core for a one-way function f, and apply it to a broad family of functions and predicates, reproving old res...
Adi Akavia, Shafi Goldwasser, Shmuel Safra
GLOBECOM
2008
IEEE
13 years 11 months ago
Optimal LLR Clipping Levels for Mixed Hard/Soft Output Detection
Abstract—Consider a communications system where the detector generates a mix of hard and soft outputs, which are then fed into a soft-input channel decoder. In such a setting, it...
Ernesto Zimmermann, David L. Milliner, John R. Bar...
STOC
2001
ACM
163views Algorithms» more  STOC 2001»
14 years 4 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