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» On the nonlinearity of monotone Boolean functions
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COCO
2006
Springer
118views Algorithms» more  COCO 2006»
15 years 1 months ago
Learning Monotone Decision Trees in Polynomial Time
We give an algorithm that learns any monotone Boolean function f : {-1, 1}n {-1, 1} to any constant accuracy, under the uniform distribution, in time polynomial in n and in the de...
Ryan O'Donnell, Rocco A. Servedio
FSE
2004
Springer
113views Cryptology» more  FSE 2004»
15 years 3 months ago
Minimum Distance between Bent and 1-Resilient Boolean Functions
In this paper we study the minimum distance between the set of bent functions and the set of 1-resilient Boolean functions and present a lower bound on that. The bound is proved to...
Soumen Maity, Subhamoy Maitra
EUROCRYPT
1990
Springer
15 years 1 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...
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SACRYPT
1998
Springer
15 years 1 months ago
The Nonhomomorphicity of Boolean Functions
Abstract. We introduce the notion of nonhomomorphicity as an alternative criterion that forecasts nonlinear characteristics of a Boolean function. Although both nonhomomorphicity a...
Xian-Mo Zhang, Yuliang Zheng
AMAI
2008
Springer
14 years 9 months ago
Recognition of interval Boolean functions
Interval functions constitute quite a special class of Boolean functions for which it is very easy and fast to determine their functional value on a specified input vector. Their ...
Ondrej Cepek, David Kronus, Petr Kucera