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» Polynomial interpolation in several variables
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ICIP
2000
IEEE
14 years 9 months ago
Complete Parametrization of Piecewise Polynomial Interpolators According to Degree, Support, Regularity, and Order
The most essential ingredient of interpolation is its basis function. We have shown in previous papers that this basis need not be necessarily interpolating to achieve good result...
Michael Unser, Philippe Thévenaz, Thierry B...
ARITH
1993
IEEE
13 years 11 months ago
An accurate LNS arithmetic unit using interleaved memory function interpolator
This paper describes a logarithmic number system (LNS) arithmetic unit using a new methodfor polynomial interpolation in hardware. The use of an interleaved memory reduces storage...
David M. Lewis
EUROCRYPT
2006
Springer
13 years 11 months ago
Efficient Computation of Algebraic Immunity for Algebraic and Fast Algebraic Attacks
In this paper we propose several efficient algorithms for assessing the resistance of Boolean functions against algebraic and fast algebraic attacks when implemented in LFSRbased s...
Frederik Armknecht, Claude Carlet, Philippe Gabori...
JSC
2007
80views more  JSC 2007»
13 years 7 months ago
Improved dense multivariate polynomial factorization algorithms
We present new deterministic and probabilistic algorithms that reduce the factorization of dense polynomials from several to one variable. The deterministic algorithm runs in sub-...
Grégoire Lecerf
COMBINATORICA
2000
157views more  COMBINATORICA 2000»
13 years 7 months ago
Concentration of Multivariate Polynomials and Its Applications
Suppose t1, ..., tn are independent random variables which take value either 0 or 1, and Y is a multi-variable polynomial in ti's with positive coefficients. We give a conditi...
Jeong Han Kim, Van H. Vu