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SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 2 months ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
STOC
2005
ACM
198views Algorithms» more  STOC 2005»
16 years 7 days ago
On lattices, learning with errors, random linear codes, and cryptography
Our main result is a reduction from worst-case lattice problems such as GAPSVP and SIVP to a certain learning problem. This learning problem is a natural extension of the `learnin...
Oded Regev
STOC
2005
ACM
110views Algorithms» more  STOC 2005»
16 years 7 days ago
Key agreement from weak bit agreement
Assume that Alice and Bob, given an authentic channel, have a protocol where they end up with a bit SA and SB, respectively, such that with probability 1+ 2 these bits are equal. ...
Thomas Holenstein
STOC
2005
ACM
93views Algorithms» more  STOC 2005»
16 years 7 days 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
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
16 years 7 days ago
Pseudorandom generators for low degree polynomials
We investigate constructions of pseudorandom generators that fool polynomial tests of degree d in m variables over finite fields F. Our main construction gives a generator with se...
Andrej Bogdanov