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» On a quasi-ordering on Boolean functions
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DM
2010
119views more  DM 2010»
13 years 7 months ago
Influences of monotone Boolean functions
Recently, Keller and Pilpel conjectured that the influence of a monotone Boolean function does not decrease if we apply to it an invertible linear transformation. Our aim in this s...
Demetres Christofides
CATS
2006
13 years 9 months ago
Boolean equation solving as graph traversal
We present a new method for finding closed forms of recursive Boolean function definitions. Traditionally, these closed forms are found by iteratively approximating until a fixed ...
Brian Herlihy, Peter Schachte, Harald Sønde...
ACISP
1997
Springer
13 years 11 months ago
New Lower Bounds on Nonlinearity and a Class of Highly Nonlinear Functions
Abstract. Highly nonlinear Boolean functions occupy an important position in the design of secure block as well as stream ciphers. This paper proves two new lower bounds on the non...
Xian-Mo Zhang, Yuliang Zheng
INDOCRYPT
2003
Springer
14 years 25 days ago
Improved Cost Function in the Design of Boolean Functions Satisfying Multiple Criteria
We develop an improved cost function to be used in simulated annealing followed by hill-climbing to find Boolean functions satisfying multiple desirable criteria such as high nonli...
Selçuk Kavut, Melek D. Yücel
AMC
2006
89views more  AMC 2006»
13 years 7 months ago
A functional computation model for the duality of two-variable Lambda-Boolean functions
This paper presents a new functional computation model for developing a class of two-variable Lambda-Boolean functions, and describes the properties of the duality principle on th...
Tolga Güyer, Seref Mirasyedioglu