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» Nonlinearity Bounds and Constructions of Resilient Boolean F...
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FOCS
1991
IEEE
15 years 1 months ago
Communication Complexity Towards Lower Bounds on Circuit Depth
Karchmer, Raz, and Wigderson, 1991, discuss the circuit depth complexity of n bit Boolean functions constructed by composing up to d = logn=loglogn levels of k = logn bit boolean
Jeff Edmonds, Steven Rudich, Russell Impagliazzo, ...
INDOCRYPT
2003
Springer
15 years 2 months 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
115
Voted
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
15 years 1 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
81
Voted
APPML
2006
81views more  APPML 2006»
14 years 9 months ago
On the nonlinearity of linear recurrence sequences
We obtain an upper bound on a new type of exponential sums with linear recurrence sequences. We apply this bound to estimate the Fourier coefficients, and thus the nonlinearity, o...
Igor Shparlinski, Arne Winterhof
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...