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» A Lower Bound on List Size for List Decoding
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ECCC
2010
153views more  ECCC 2010»
13 years 2 months ago
Local list decoding with a constant number of queries
Efremenko showed locally-decodable codes of sub-exponential length that can handle close to 1 6 fraction of errors. In this paper we show that the same codes can be locally unique...
Avraham Ben-Aroya, Klim Efremenko, Amnon Ta-Shma
CATS
2007
13 years 9 months ago
Quantum List Decoding from Quantumly Corrupted Codewords for Classical Block Codes of Polynomially Small Rate
d Abstract) Tomoyuki Yamakami Department of Computer Software, University of Aizu 90 Kami-Iawase, Tsuruga, Ikki-machi, Fukushima 965-8580, Japan Our task of quantum list decoding ...
Tomoyuki Yamakami
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
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 7 months ago
Better extractors for better codes?
We present an explicit construction of codes that can be list decoded from a fraction (1 - ) of errors in sub-exponential time and which have rate / logO(1) (1/). This comes close...
Venkatesan Guruswami
CORR
2010
Springer
131views Education» more  CORR 2010»
13 years 6 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