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» Limits to list decoding Reed-Solomon codes
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APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
14 years 1 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
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 8 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
IACR
2011
141views more  IACR 2011»
12 years 7 months ago
Approximate common divisors via lattices
We analyze the multivariate generalization of Howgrave-Graham’s algorithm for the approximate common divisor problem. In the m-variable case with modulus N and approximate common...
Henry Cohn, Nadia Heninger
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 1 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