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CORR
2008
Springer
97views Education» more  CORR 2008»
13 years 7 months ago
Lower bounds for adaptive linearity tests
Linearity tests are randomized algorithms which have oracle access to the truth table of some function f, and are supposed to distinguish between linear functions and functions whi...
Shachar Lovett
SODA
2010
ACM
157views Algorithms» more  SODA 2010»
14 years 5 months ago
Testing monotone high-dimensional distributions
A monotone distribution P over a (partially) ordered domain assigns higher probability to y than to x if y x in the order. We study several natural problems concerning testing pr...
Ronitt Rubinfeld, Rocco A. Servedio
ICALP
2009
Springer
14 years 8 months ago
Bounds on the Size of Small Depth Circuits for Approximating Majority
In this paper, we show that for every constant 0 < < 1/2 and for every constant d 2, the minimum size of a depth d Boolean circuit that -approximates Majority function on n ...
Kazuyuki Amano
STOC
2006
ACM
130views Algorithms» more  STOC 2006»
14 years 8 months ago
On the fourier tails of bounded functions over the discrete cube
In this paper we consider bounded real-valued functions over the discrete cube, f : {-1, 1}n [-1, 1]. Such functions arise naturally in theoretical computer science, combinatorics...
Irit Dinur, Ehud Friedgut, Guy Kindler, Ryan O'Don...
FSE
2007
Springer
101views Cryptology» more  FSE 2007»
14 years 1 months ago
Generalized Correlation Analysis of Vectorial Boolean Functions
We investigate the security of n-bit to m-bit vectorial Boolean functions in stream ciphers. Such stream ciphers have higher throughput than those using single-bit output Boolean f...
Claude Carlet, Khoongming Khoo, Chu-Wee Lim, Chuan...