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» List Decoding for Binary Goppa Codes
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CODCRY
2011
Springer
247views Cryptology» more  CODCRY 2011»
13 years 2 months ago
List Decoding for Binary Goppa Codes
This paper presents a list-decoding algorithm for classical irreducible binary Goppa codes. The algorithm corrects, in polynomial time, approximately n − p n(n − 2t − 2) err...
Daniel J. Bernstein
CORR
2011
Springer
186views Education» more  CORR 2011»
13 years 5 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
ASIACRYPT
2001
Springer
14 years 3 months ago
How to Achieve a McEliece-Based Digital Signature Scheme
Abstract. McEliece is one of the oldest known public key cryptosystems. Though it was less widely studied than RSA, it is remarkable that all known attacks are still exponential. I...
Nicolas Courtois, Matthieu Finiasz, Nicolas Sendri...
APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
14 years 5 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
CORR
2010
Springer
91views Education» more  CORR 2010»
13 years 11 months ago
List Decodability at Small Radii
A (n,d,e), the smallest for which every binary error-correcting code of length n and minimum distance d is decodable with a list of size up to radius e, is determined for all d 2e...
Yeow Meng Chee, Gennian Ge, Lijun Ji, San Ling, Ji...