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» On the Minimal Fourier Degree of Symmetric Boolean Functions
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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...
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
MST
2006
120views more  MST 2006»
13 years 5 months ago
Exploiting Regularities for Boolean Function Synthesis
The "regularity" of a Boolean function can be exploited for decreasing its minimization time. It has already been shown that the notion of autosymmetry is a valid measure...
Anna Bernasconi, Valentina Ciriani, Fabrizio Lucci...
TCS
2008
13 years 5 months ago
On a quasi-ordering on Boolean functions
It was proved few years ago that classes of Boolean functions definable by means of functional equations [9], or equivalently, by means of relational constraints [16], coincide wit...
Miguel Couceiro, Maurice Pouzet
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...