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» On the degree of symmetric functions on the Boolean cube
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EUROCRYPT
2006
Springer
13 years 9 months ago
Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks
In this paper we propose several efficient algorithms for assessing the resistance of Boolean functions against algebraic and fast algebraic attacks when implemented in LFSRbased s...
Frederik Armknecht, Claude Carlet, Philippe Gabori...
ECCC
2010
104views more  ECCC 2010»
13 years 5 months ago
Pseudorandom generators for CC0[p] and the Fourier spectrum of low-degree polynomials over finite fields
In this paper we give the first construction of a pseudorandom generator, with seed length O(log n), for CC0[p], the class of constant-depth circuits with unbounded fan-in MODp ga...
Shachar Lovett, Partha Mukhopadhyay, Amir Shpilka
CRYPTO
2006
Springer
125views Cryptology» more  CRYPTO 2006»
13 years 9 months ago
On the Higher Order Nonlinearities of Algebraic Immune Functions
Abstract. One of the most basic requirements concerning Boolean functions used in cryptosystems is that they must have high algebraic degrees. This simple criterion is not always w...
Claude Carlet
ECCC
2007
86views more  ECCC 2007»
13 years 5 months ago
Testing Halfspaces
This paper addresses the problem of testing whether a Boolean-valued function f is a halfspace, i.e. a function of the form f(x) = sgn(w·x−θ). We consider halfspaces over the ...
Kevin Matulef, Ryan O'Donnell, Ronitt Rubinfeld, R...
FOCS
1989
IEEE
13 years 9 months ago
Constant Depth Circuits, Fourier Transform, and Learnability
In this paper, Boolean functions in ,4C0 are studied using harmonic analysis on the cube. The main result is that an ACO Boolean function has almost all of its “power spectrum”...
Nathan Linial, Yishay Mansour, Noam Nisan