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» On Learning Boolean Functions
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STOC
1996
ACM
118views Algorithms» more  STOC 1996»
15 years 2 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...
DAM
2006
88views more  DAM 2006»
14 years 10 months ago
Finding nonnormal bent functions
The question if there exist nonnormal bent functions was an open question for several years. A Boolean function in n variables is called normal if there exists an affine subspace ...
Anne Canteaut, Magnus Daum, Hans Dobbertin, Gregor...
FSE
2003
Springer
125views Cryptology» more  FSE 2003»
15 years 3 months ago
On Plateaued Functions and Their Constructions
We use the notion of covering sequence, introduced by C. Carlet and Y. Tarannikov, to give a simple characterization of bent functions. We extend it into a characterization of plat...
Claude Carlet, Emmanuel Prouff
ITA
2000
14 years 9 months ago
Construction of very hard functions for multiparty communication complexity
We consider the multiparty communication model de ned in 4] using the formalism from 8]. First, we correct an inaccuracy in the proof of the fundamental result of 6] providing a lo...
Ján Manuch
ISMVL
2008
IEEE
160views Hardware» more  ISMVL 2008»
15 years 4 months ago
Exact Synthesis of Elementary Quantum Gate Circuits for Reversible Functions with Don't Cares
Compact realizations of reversible logic functions are of interest in the design of quantum computers. In this paper we present an exact synthesis algorithm, based on Boolean Sati...
Daniel Große, Robert Wille, Gerhard W. Dueck...