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» List Decoding: Algorithms and Applications
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FOCS
2003
IEEE
14 years 24 days 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
CIKM
2011
Springer
12 years 7 months ago
SIMD-based decoding of posting lists
Powerful SIMD instructions in modern processors offer an opportunity for greater search performance. In this paper, we apply these instructions to decoding search engine posting ...
Alexander A. Stepanov, Anil R. Gangolli, Daniel E....
CORR
2011
Springer
186views Education» more  CORR 2011»
13 years 2 months ago
Key Reduction of McEliece's Cryptosystem Using List Decoding
Different variants of the code-based McEliece cryptosystem were proposed to reduce the size of the public key. All these variants use very structured codes, which open the door t...
Morgan Barbier
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...
APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
14 years 1 months ago
Better Binary List-Decodable Codes Via Multilevel Concatenation
We give a polynomial time construction of binary codes with the best currently known trade-off between rate and error-correction radius. Specifically, we obtain linear codes ove...
Venkatesan Guruswami, Atri Rudra