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» On the Approximation Resistance of a Random Predicate
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STOC
2009
ACM
87views Algorithms» more  STOC 2009»
14 years 5 months ago
Randomly supported independence and resistance
We prove that for any positive integer k, there is a constant ck such that a randomly selected set of cknk log n Boolean vectors with high probability supports a balanced k-wise i...
Per Austrin, Johan Håstad
COCO
2008
Springer
74views Algorithms» more  COCO 2008»
13 years 6 months ago
Approximation Resistant Predicates from Pairwise Independence
We study the approximability of predicates on k variables from a domain [q], and give a new sufficient condition for such predicates to be approximation resistant under the Unique...
Per Austrin, Elchanan Mossel
LATIN
2010
Springer
13 years 3 months ago
On Quadratic Threshold CSPs
A predicate P : {−1, 1}k → {0, 1} can be associated with a constraint satisfaction problem Max CSP(P). P is called “approximation resistant” if Max CSP(P) cannot be approxi...
Per Austrin, Siavosh Benabbas, Avner Magen
CIT
2006
Springer
13 years 8 months ago
A new collision resistant hash function based on optimum dimensionality reduction using Walsh-Hadamard transform
Hash functions play the most important role in various cryptologic applications, ranging from data integrity checking to digital signatures. Our goal is to introduce a new hash fu...
Barzan Mozafari, Mohammad Hasan Savoji