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» List Decoding for Binary Goppa Codes
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APPROX
2005
Springer
111views Algorithms» more  APPROX 2005»
14 years 2 months ago
A Lower Bound on List Size for List Decoding
A q-ary error-correcting code C ⊆ {1, 2, . . . , q}n is said to be list decodable to radius ρ with list size L if every Hamming ball of radius ρ contains at most L codewords o...
Venkatesan Guruswami, Salil P. Vadhan
CRYPTO
2011
Springer
179views Cryptology» more  CRYPTO 2011»
12 years 8 months ago
Smaller Decoding Exponents: Ball-Collision Decoding
Very few public-key cryptosystems are known that can encrypt and decrypt in time b2+o(1) with conjectured security level 2b against conventional computers and quantum computers. Th...
Daniel J. Bernstein, Tanja Lange, Christiane Peter...
APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
13 years 10 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
TIT
2008
110views more  TIT 2008»
13 years 8 months ago
Explicit Codes Achieving List Decoding Capacity: Error-Correction With Optimal Redundancy
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
Venkatesan Guruswami, Atri Rudra
DCC
2008
IEEE
14 years 8 months ago
An improved list decoding algorithm for the second order Reed-Muller codes and its applications
We propose an algorithm which is an improved version of the Kabatiansky-Tavernier list decoding algorithm for the second order binary Reed-Muller code RM(2, m), of length n = 2m , ...
Rafaël Fourquet, Cédric Tavernier