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» List decoding algorithms for certain concatenated codes
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APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
13 years 9 months ago
The Complexity of Local List Decoding
We study the complexity of locally list-decoding binary error correcting codes with good parameters (that are polynomially related to information theoretic bounds). We show that co...
Dan Gutfreund, Guy N. Rothblum
FOCS
2003
IEEE
14 years 25 days 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
2007
IEEE
14 years 1 months ago
A Bit-Node Centric Architecture for Low-Density Parity-Check Decoders
Abstract—A bit-node centric decoder architecture for lowdensity parity-check codes is proposed. This architecture performs the optimum sum-product algorithm. A bit node processin...
Ruwan N. S. Ratnayake, Erich F. Haratsch, Gu-Yeon ...
FOCS
2002
IEEE
14 years 14 days ago
Linear Diophantine Equations over Polynomials and Soft Decoding of Reed-Solomon Codes
Abstract—This paper generalizes the classical Knuth–Schönhage algorithm computing the greatest common divisor (gcd) of two polynomials for solving arbitrary linear Diophantine...
Michael Alekhnovich
STOC
2009
ACM
161views Algorithms» more  STOC 2009»
14 years 8 months ago
List decoding tensor products and interleaved codes
We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. ? We show that for every code, the rat...
Parikshit Gopalan, Venkatesan Guruswami, Prasad Ra...