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» Subspace Polynomials and List Decoding of Reed-Solomon Codes
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TIT
2010
136views Education» more  TIT 2010»
13 years 2 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
ASIACRYPT
2004
Springer
14 years 24 days 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»
13 years 11 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»
12 years 11 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»
13 years 9 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