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» Exponential-Time Approximation of Hard Problems
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FOCS
2007
IEEE
15 years 4 months ago
Hardness of Reconstructing Multivariate Polynomials over Finite Fields
We study the polynomial reconstruction problem for low-degree multivariate polynomials over finite field F[2]. In this problem, we are given a set of points x ∈ {0, 1}n and ta...
Parikshit Gopalan, Subhash Khot, Rishi Saket
STOC
2005
ACM
93views Algorithms» more  STOC 2005»
15 years 10 months ago
Representing hard lattices with O(n log n) bits
We present a variant of the Ajtai-Dwork public-key cryptosystem where the size of the public-key is only O(n log n) bits and the encrypted text/clear text ratio is also O(n log n)...
Miklós Ajtai
ECCC
2008
98views more  ECCC 2008»
14 years 10 months ago
Public-Key Cryptosystems from the Worst-Case Shortest Vector Problem
We construct public-key cryptosystems that are secure assuming the worst-case hardness of approximating the minimum distance on n-dimensional lattices to within small poly(n) fact...
Chris Peikert
ECCC
2010
124views more  ECCC 2010»
14 years 10 months ago
Lower Bounds and Hardness Amplification for Learning Shallow Monotone Formulas
Much work has been done on learning various classes of "simple" monotone functions under the uniform distribution. In this paper we give the first unconditional lower bo...
Vitaly Feldman, Homin K. Lee, Rocco A. Servedio
STOC
2006
ACM
152views Algorithms» more  STOC 2006»
15 years 10 months ago
Private approximation of search problems
Many approximation algorithms have been presented in the last decades for hard search problems. The focus of this paper is on cryptographic applications, where it is desired to de...
Amos Beimel, Paz Carmi, Kobbi Nissim, Enav Weinreb