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» On a quasi-ordering on Boolean functions
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AMC
2006
125views more  AMC 2006»
13 years 7 months ago
A symbolic and algebraic computation based Lambda-Boolean reduction machine via PROLOG
This paper presents a new Lambda-Boolean reduction machine for Lambda-Boolean and Lambda-Beta Boolean reductions in the context of Lambda Calculus and introduces the role of Churc...
Seref Mirasyedioglu, Tolga Güyer
ACISP
2003
Springer
14 years 26 days ago
New Constructions for Resilient and Highly Nonlinear Boolean Functions
Abstract. We explore three applications of geometric sequences in constructing cryptographic Boolean functions. First, we construct 1-resilient functions of n Boolean variables wit...
Khoongming Khoo, Guang Gong
EUROCRYPT
2000
Springer
13 years 11 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...
CIE
2010
Springer
14 years 13 days ago
Circuit Complexity and Multiplicative Complexity of Boolean Functions
In this note, we use lower bounds on Boolean multiplicative complexity to prove lower bounds on Boolean circuit complexity. We give a very simple proof of a 7n/3 − c lower bound ...
Arist Kojevnikov, Alexander S. Kulikov
STACS
2005
Springer
14 years 1 months ago
Robust Polynomials and Quantum Algorithms
We define and study the complexity of robust polynomials for Boolean functions and the related fault-tolerant quantum decision trees, where input bits are perturbed by noise. We ...
Harry Buhrman, Ilan Newman, Hein Röhrig, Rona...