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TIT
2008
110views more  TIT 2008»
13 years 4 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
STOC
2009
ACM
187views Algorithms» more  STOC 2009»
14 years 5 months ago
Artin automorphisms, cyclotomic function fields, and folded list-decodable codes
Algebraic codes that achieve list decoding capacity were recently constructed by a careful "folding" of the Reed-Solomon code. The "low-degree" nature of this f...
Venkatesan Guruswami
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 5 months ago
Explicit capacity-achieving list-decodable codes
For every 0 < R < 1 and > 0, we present an explicit construction of error-correcting codes of rate R that can be list decoded in polynomial time up to a fraction (1 - R ...
Venkatesan Guruswami, Atri Rudra
ASIACRYPT
2004
Springer
13 years 10 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