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» On Polynomial Representations of Boolean Functions Related t...
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RANDOM
2001
Springer
13 years 10 months ago
Proclaiming Dictators and Juntas or Testing Boolean Formulae
We consider the problem of determining whether a given function ¢ £ ¤¥ ¦ §¨©  ¤¥ ¦ §¨ belongs to a certain class of Boolean functions  or whether it is far from the...
Michal Parnas, Dana Ron, Alex Samorodnitsky
AMAI
2008
Springer
13 years 5 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
ACISP
2006
Springer
13 years 11 months ago
On Exact Algebraic [Non-]Immunity of S-Boxes Based on Power Functions
In this paper we are interested in algebraic immunity of several well known highly-nonlinear vectorial Boolean functions (or Sboxes), designed for block and stream ciphers. Unfortu...
Nicolas Courtois, Blandine Debraize, Eric Garrido
ICALP
2009
Springer
14 years 6 months ago
Testing Fourier Dimensionality and Sparsity
We present a range of new results for testing properties of Boolean functions that are defined in terms of the Fourier spectrum. Broadly speaking, our results show that the propert...
Parikshit Gopalan, Ryan O'Donnell, Rocco A. Served...
FOCS
2008
IEEE
13 years 5 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan