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» On a quasi-ordering on Boolean functions
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IFIP
2004
Springer
14 years 1 months ago
A Randomised Algorithm for Checking the Normality of Cryptographic Boolean Functions
Abstract A Boolean function is called normal if it is constant on flats of certain dimensions. This property is relevant for the construction and analysis of cryptosystems. This p...
An Braeken, Christopher Wolf, Bart Preneel
FSTTCS
2001
Springer
14 years 4 days ago
On Polynomial Representations of Boolean Functions Related to Some Number Theoretic Problems
We say a polynomial P over ZZM strongly M -represents a Boolean function F if F(x) ≡ P(x) (mod M) for all x ∈ {0, 1}n . Similarly, P one-sidedly M -represents F if F(x) = 0 ⇐...
Erion Plaku, Igor Shparlinski
DAGSTUHL
2006
13 years 9 months ago
The complexity of Boolean functions from cryptographic viewpoint
Cryptographic Boolean functions must be complex to satisfy Shannon's principle of confusion. But the cryptographic viewpoint on complexity is not the same as in circuit compl...
Claude Carlet
TCS
2002
13 years 7 months ago
Complexity measures and decision tree complexity: a survey
We discuss several complexity measures for Boolean functions: certi cate complexity, sensitivity, block sensitivity, and the degree of a representing or approximating polynomial. ...
Harry Buhrman, Ronald de Wolf