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» Unconditional pseudorandom generators for low degree polynom...
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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
SIGMOD
2004
ACM
126views Database» more  SIGMOD 2004»
14 years 5 months ago
Indexing Spatio-Temporal Trajectories with Chebyshev Polynomials
In this paper, we attempt to approximate and index a ddimensional (d 1) spatio-temporal trajectory with a low order continuous polynomial. There are many possible ways to choose ...
Yuhan Cai, Raymond T. Ng
TIT
2008
130views more  TIT 2008»
13 years 5 months ago
Improving the Lower Bound on the Higher Order Nonlinearity of Boolean Functions With Prescribed Algebraic Immunity
Abstract. The recent algebraic attacks have received a lot of attention in cryptographic literature. The algebraic immunity of a Boolean function quantifies its resistance to the s...
Sihem Mesnager