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» Algorithmic Results in List Decoding
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FOCS
2003
IEEE
15 years 4 months ago
List-Decoding Using The XOR Lemma
We show that Yao’s XOR Lemma, and its essentially equivalent rephrasing as a Direct Product Lemma, can be re-interpreted as a way of obtaining error-correcting codes with good l...
Luca Trevisan
CORR
2010
Springer
131views Education» more  CORR 2010»
14 years 10 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
2009
ACM
161views Algorithms» more  STOC 2009»
16 years 6 days 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...
JSAC
2010
180views more  JSAC 2010»
14 years 6 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...
FOCS
2003
IEEE
15 years 4 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