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» Lattice computations for random numbers
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FOCS
2004
IEEE
14 years 15 days ago
Worst-Case to Average-Case Reductions Based on Gaussian Measures
We show that finding small solutions to random modular linear equations is at least as hard as approximating several lattice problems in the worst case within a factor almost line...
Daniele Micciancio, Oded Regev
ICALP
2007
Springer
14 years 2 months ago
On the Chromatic Number of Random Graphs
In this paper we consider the classical Erd˝os-R´enyi model of random graphs Gn,p. We show that for p = p(n) ≤ n−3/4−δ , for any fixed δ > 0, the chromatic number χ...
Amin Coja-Oghlan, Konstantinos Panagiotou, Angelik...
AICT
2008
IEEE
119views Communications» more  AICT 2008»
13 years 9 months ago
Simplification of Frequency Test for Random Number Generation Based on Chi-Square
This paper presents the simplified method of random test suite based on the frequency (block) test. The test is used to check the first property of random numbers which is to have ...
Kruawan Wongpanya, Keattisak Sripimanwat, Kanok Je...
STOC
1999
ACM
176views Algorithms» more  STOC 1999»
14 years 1 months ago
On the Complexity of Computing Short Linearly Independent Vectors and Short Bases in a Lattice
Motivated by Ajtai’s worst-case to average-case reduction for lattice problems, we study the complexity of computing short linearly independent vectors (short basis) in a lattic...
Johannes Blömer, Jean-Pierre Seifert
UC
2009
Springer
14 years 3 months ago
Random Number Selection in Self-assembly
Abstract. We investigate methods for exploiting nondeterminism inherent within the Tile Assembly Model in order to generate uniform random numbers. Namely, given an integer range {...
David Doty, Jack H. Lutz, Matthew J. Patitz, Scott...