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EUROCRYPT
2000
Springer
14 years 2 months ago
Propagation Characteristics and Correlation-Immunity of Highly Nonlinear Boolean Functions
We investigate the link between the nonlinearity of a Boolean function and its propagation characteristics. We prove that highly nonlinear functions usually have good propagation p...
Anne Canteaut, Claude Carlet, Pascale Charpin, Car...
ASIACRYPT
2000
Springer
14 years 3 months ago
On Relationships among Avalanche, Nonlinearity, and Correlation Immunity
We establish, for the first time, an explicit and simple lower bound on the nonlinearity Nf of a Boolean function f of n variables satisfying the avalanche criterion of degree p, ...
Yuliang Zheng, Xian-Mo Zhang
ASIACRYPT
2001
Springer
14 years 2 months ago
Autocorrelation Coefficients and Correlation Immunity of Boolean Functions
Abstract. We apply autocorrelation and Walsh coefficients for the investigation of correlation immune and resilient Boolean functions. We prove new lower bound for the absolute ind...
Yuriy Tarannikov, Peter Korolev, Anton Botev
EUROCRYPT
1990
Springer
14 years 2 months ago
Propagation Characteristics of Boolean Functions
The relation between the Walsh-Hadamard transform and the autocorrelation function of Boolean functions is used to study propagation characteristics of these functions. The Strict...
Bart Preneel, Werner Van Leekwijck, Luc Van Linden...
INDOCRYPT
2005
Springer
14 years 4 months ago
On the Algebraic Immunity of Symmetric Boolean Functions
In this paper, we analyse the algebraic immunity of symmetric Boolean functions. We identify a set of lowest degree annihilators for symmetric functions and propose an efficient al...
An Braeken, Bart Preneel