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» Polynomial interpolation in several variables
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CORR
2006
Springer
117views Education» more  CORR 2006»
13 years 7 months ago
Explicit factors of some iterated resultants and discriminants
In this paper, the result of applying iterative univariate resultant constructions to multivariate polynomials is analyzed. We consider the input polynomials as generic polynomials...
Laurent Busé, Bernard Mourrain
FFA
2010
84views more  FFA 2010»
13 years 6 months ago
Generating series for irreducible polynomials over finite fields
We count the number of irreducible polynomials in several variables of a given degree over a finite field. The results are expressed in terms of a generating series, an exact for...
Arnaud Bodin
EUROCRYPT
2009
Springer
14 years 8 months ago
Cube Attacks on Tweakable Black Box Polynomials
Almost any cryptographic scheme can be described by tweakable polynomials over GF(2), which contain both secret variables (e.g., key bits) and public variables (e.g., plaintext bit...
Itai Dinur, Adi Shamir
AES
2004
Springer
139views Cryptology» more  AES 2004»
14 years 28 days ago
The Inverse S-Box, Non-linear Polynomial Relations and Cryptanalysis of Block Ciphers
This paper is motivated by the design of AES. We consider a broader question of cryptanalysis of block ciphers having very good non-linearity and diffusion. Can we expect anyway, ...
Nicolas Courtois
CAGD
2005
112views more  CAGD 2005»
13 years 7 months ago
Estimating differential quantities using polynomial fitting of osculating jets
This paper addresses the point-wise estimation of differential properties of a smooth manifold S--a curve in the plane or a surface in 3D--assuming a point cloud sampled over S is...
Frédéric Cazals, Marc Pouget