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FOCS
1989
IEEE
13 years 9 months ago
Constant Depth Circuits, Fourier Transform, and Learnability
In this paper, Boolean functions in ,4C0 are studied using harmonic analysis on the cube. The main result is that an ACO Boolean function has almost all of its “power spectrum”...
Nathan Linial, Yishay Mansour, Noam Nisan
FOCS
1994
IEEE
13 years 9 months ago
On Rank vs. Communication Complexity
This paper concerns the open problem of Lov
Noam Nisan, Avi Wigderson
STOC
1996
ACM
118views Algorithms» more  STOC 1996»
13 years 9 months ago
Characterizing Linear Size Circuits in Terms of Privacy
In this paper we prove a perhaps unexpected relationship between the complexity class of the boolean functions that have linear size circuits, and n-party private protocols. Speci...
Eyal Kushilevitz, Rafail Ostrovsky, Adi Rosé...
ICCAD
1997
IEEE
97views Hardware» more  ICCAD 1997»
13 years 9 months ago
Low power logic synthesis for XOR based circuits
An abundance of research e orts in low power logic synthesis have so far been focused on and or or nand nor based logic. A typical approach is to rst generate an initial multi-lev...
Unni Narayanan, C. L. Liu
VLSID
1998
IEEE
105views VLSI» more  VLSID 1998»
13 years 9 months ago
Optimizing Logic Design Using Boolean Transforms
When a Boolean function is transformed by exclusiveOR with a suitably selected transform function, the new functzon is often synthesized wzth significantly reduced hardware. `I�...
Pramit Chavda, James Jacob, Vishwani D. Agrawal
FOCS
1998
IEEE
13 years 9 months ago
Quantum Lower Bounds by Polynomials
We examine the number T of queries that a quantum network requires to compute several Boolean functions on f0;1gN in the black-box model. We show that, in the blackbox model, the ...
Robert Beals, Harry Buhrman, Richard Cleve, Michel...
FSTTCS
2001
Springer
13 years 9 months ago
On Polynomial Representations of Boolean Functions Related to Some Number Theoretic Problems
We say a polynomial P over ZZM strongly M -represents a Boolean function F if F(x) ≡ P(x) (mod M) for all x ∈ {0, 1}n . Similarly, P one-sidedly M -represents F if F(x) = 0 ⇐...
Erion Plaku, Igor Shparlinski
ESOP
2001
Springer
13 years 9 months ago
The Def-inite Approach to Dependency Analysis
Abstract. We propose a new representation for the domain of Definite Boolean functions. The key idea is to view the set of models of a Boolean function as an incidence relation be...
Samir Genaim, Michael Codish
COCO
2001
Springer
107views Algorithms» more  COCO 2001»
13 years 9 months ago
In Search of an Easy Witness: Exponential Time vs. Probabilistic Polynomial Time
Restricting the search space {0, 1}n to the set of truth tables of “easy” Boolean functions on log n variables, as well as using some known hardness-randomness tradeoffs, we ...
Russell Impagliazzo, Valentine Kabanets, Avi Wigde...
EUROCRYPT
2003
Springer
13 years 10 months ago
Algebraic Attacks on Stream Ciphers with Linear Feedback
A classical construction of stream ciphers is to combine several LFSRs and a highly non-linear Boolean function f. Their security is usually analysed in terms of correlation attack...
Nicolas Courtois, Willi Meier