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» Limits to list decoding Reed-Solomon codes
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APPROX
2007
Springer
160views Algorithms» more  APPROX 2007»
15 years 3 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»
15 years 10 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»
13 years 9 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»
14 years 4 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
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