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STOC
2003
ACM
116views Algorithms» more  STOC 2003»
13 years 9 months ago
New lattice based cryptographic constructions
We introduce the use of Fourier analysis on lattices as an integral part of a lattice based construction. The tools we develop provide an elegant description of certain Gaussian d...
Oded Regev
STOC
2003
ACM
109views Algorithms» more  STOC 2003»
13 years 9 months ago
A new multilayered PCP and the hardness of hypergraph vertex cover
Given a k-uniform hypergraph, the Ek-Vertex-Cover problem is to find the smallest subset of vertices that intersects every hyperedge. We present a new multilayered PCP constructi...
Irit Dinur, Venkatesan Guruswami, Subhash Khot, Od...
STOC
2003
ACM
140views Algorithms» more  STOC 2003»
14 years 4 months ago
Approximation schemes for clustering problems
We present a general approach for designing approximation algorithms for a fundamental class of geometric clustering problems in arbitrary dimensions. More specifically, our appro...
Wenceslas Fernandez de la Vega, Marek Karpinski, C...
STOC
2003
ACM
193views Algorithms» more  STOC 2003»
14 years 4 months ago
Space efficient dynamic stabbing with fast queries
In dynamic stabbing, we operate on a dynamic set of intervals. A stabbing query asks for an interval containing a given point. This basic problem encodes problems such as method l...
Mikkel Thorup
STOC
2003
ACM
142views Algorithms» more  STOC 2003»
14 years 4 months ago
Optimal probabilistic fingerprint codes
We construct binary codes for fingerprinting. Our codes for n users that are -secure against c pirates have length O(c2 log(n/ )). This improves the codes proposed by Boneh and Sh...
Gábor Tardos
STOC
2003
ACM
178views Algorithms» more  STOC 2003»
14 years 4 months ago
Uniform hashing in constant time and linear space
Many algorithms and data structures employing hashing have been analyzed under the uniform hashing assumption, i.e., the assumption that hash functions behave like truly random fu...
Anna Östlin, Rasmus Pagh