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COCO
2009
Springer
96views Algorithms» more  COCO 2009»
13 years 8 months ago
On the Complexity of Boolean Functions in Different Characteristics
Every Boolean function on n variables can be expressed as a unique multivariate polynomial modulo p for every prime p. In this work, we study how the degree of a function in one c...
Parikshit Gopalan, Shachar Lovett, Amir Shpilka
EUROCRYPT
2000
Springer
13 years 8 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...
ICCD
2008
IEEE
139views Hardware» more  ICCD 2008»
14 years 1 months ago
Probabilistic error propagation in logic circuits using the Boolean difference calculus
- A gate level probabilistic error propagation model is presented which takes as input the Boolean function of the gate, the signal and error probabilities of the gate inputs, and ...
Nasir Mohyuddin, Ehsan Pakbaznia, Massoud Pedram
COCO
2007
Springer
106views Algorithms» more  COCO 2007»
13 years 11 months ago
The Complexity of Polynomials and Their Coefficient Functions
We study the link between the complexity of a polynomial and that of its coefficient functions. Valiant’s theory is a good setting for this, and we start by generalizing one of V...
Guillaume Malod
BMCBI
2007
140views more  BMCBI 2007»
13 years 5 months ago
Investigations into the relationship between feedback loops and functional importance of a signal transduction network based on
Background: A number of studies on biological networks have been carried out to unravel the topological characteristics that can explain the functional importance of network nodes...
Yung-Keun Kwon, Sun Shim Choi, Kwang-Hyun Cho