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» On the Minimal Fourier Degree of Symmetric Boolean Functions
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FSE
2000
Springer
96views Cryptology» more  FSE 2000»
13 years 9 months ago
On the Interpolation Attacks on Block Ciphers
Abstract. The complexity of interpolation attacks on block ciphers depends on the degree of the polynomial approximation and or on the number of terms in the polynomial approximati...
Amr M. Youssef, Guang Gong
FOCS
2007
IEEE
13 years 9 months ago
Discrepancy and the Power of Bottom Fan-in in Depth-three Circuits
We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty `Number on the Forehead' model. Our meth...
Arkadev Chattopadhyay
ECCC
2010
117views more  ECCC 2010»
13 years 4 months ago
Nearly Tight Bounds for Testing Function Isomorphism
We study the problem of testing isomorphism (equivalence up to relabelling of the variables) of two Boolean functions f, g : {0, 1}n → {0, 1}. Our main focus is on the most stud...
Sourav Chakraborty, David García-Soriano, A...
STOC
2012
ACM
209views Algorithms» more  STOC 2012»
11 years 8 months ago
Nearly optimal solutions for the chow parameters problem and low-weight approximation of halfspaces
The Chow parameters of a Boolean function f : {−1, 1}n → {−1, 1} are its n + 1 degree-0 and degree-1 Fourier coefficients. It has been known since 1961 [Cho61, Tan61] that ...
Anindya De, Ilias Diakonikolas, Vitaly Feldman, Ro...
COLT
2001
Springer
13 years 10 months ago
On Using Extended Statistical Queries to Avoid Membership Queries
The Kushilevitz-Mansour (KM) algorithm is an algorithm that finds all the “large” Fourier coefficients of a Boolean function. It is the main tool for learning decision trees ...
Nader H. Bshouty, Vitaly Feldman