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» Subspace Polynomials and List Decoding of Reed-Solomon Codes
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103
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TIT
2010
136views Education» more  TIT 2010»
14 years 5 months ago
The existence of concatenated codes list-decodable up to the hamming bound
We prove that binary linear concatenated codes with an outer algebraic code (specifically, a folded Reed-Solomon code) and independently and randomly chosen linear inner codes ach...
Venkatesan Guruswami, Atri Rudra
78
Voted
ASIACRYPT
2004
Springer
15 years 3 months ago
Lattice-Based Threshold-Changeability for Standard Shamir Secret-Sharing Schemes
Abstract. We consider the problem of increasing the threshold parameter of a secret-sharing scheme after the setup (share distribution) phase, without further communication between...
Ron Steinfeld, Huaxiong Wang, Josef Pieprzyk
ESA
2000
Springer
84views Algorithms» more  ESA 2000»
15 years 1 months ago
On Representations of Algebraic-Geometric Codes for List Decoding
Abstract. We show that all algebraic-geometric codes possess a succinct representation that allows for the list decoding algorithms of [15, 7] to run in polynomial time. We do this...
Venkatesan Guruswami, Madhu Sudan
CODCRY
2011
Springer
247views Cryptology» more  CODCRY 2011»
14 years 1 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
APPROX
2008
Springer
190views Algorithms» more  APPROX 2008»
15 years 7 days 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