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» On the Hardness of Decoding the Gale-Berlekamp Code
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CC
2008
Springer
133views System Software» more  CC 2008»
14 years 9 months ago
Hardness Amplification via Space-Efficient Direct Products
We prove a version of the derandomized Direct Product lemma for deterministic space-bounded algorithms. Suppose a Boolean function g : {0, 1}n {0, 1} cannot be computed on more th...
Venkatesan Guruswami, Valentine Kabanets
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
73
Voted
CRYPTO
2009
Springer
154views Cryptology» more  CRYPTO 2009»
15 years 4 months ago
On Bounded Distance Decoding, Unique Shortest Vectors, and the Minimum Distance Problem
We prove the equivalence, up to a small polynomial approximation factor n/ log n, of the lattice problems uSVP (unique Shortest Vector Problem), BDD (Bounded Distance Decoding) and...
Vadim Lyubashevsky, Daniele Micciancio
IACR
2011
132views more  IACR 2011»
13 years 9 months ago
Homomorphic encryption from codes
We propose a new homomorphic encryption scheme based on the hardness of decoding under independent random noise from certain affine families of codes. Unlike in previous latticeba...
Andrej Bogdanov, Chin Ho Lee
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