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SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 14 hour 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»
15 years 10 months 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»
15 years 10 months 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»
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
STOC
2005
ACM
144views Algorithms» more  STOC 2005»
15 years 10 months 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