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AAECC
1997
Springer
115views Algorithms» more  AAECC 1997»
13 years 11 months ago
Efficient Multivariate Factorization over Finite Fields
We describe the Maple [23] implementation of multivariate factorization over general finite fields. Our first implementation is available in Maple V Release 3. We give selected det...
Laurent Bernardin, Michael B. Monagan
MOC
2011
13 years 2 months ago
Exponential convergence and tractability of multivariate integration for Korobov spaces
In this paper we study multivariate integration for a weighted Korobov space for which the Fourier coefficients of the functions decay exponentially fast. This implies that the fu...
Josef Dick, Gerhard Larcher, Friedrich Pillichsham...
AMC
2010
86views more  AMC 2010»
13 years 7 months ago
On properties of cell matrices
In this paper properties of cell matrices are studied. A determinant of such a matrix is given in a closed form. In the proof a general method for determining a determinant of a s...
Gasper Jaklic, Jolanda Modic
JC
2008
128views more  JC 2008»
13 years 7 months ago
Lattice rule algorithms for multivariate approximation in the average case setting
We study multivariate approximation for continuous functions in the average case setting. The space of d variate continuous functions is equipped with the zero mean Gaussian measu...
Frances Y. Kuo, Ian H. Sloan, Henryk Wozniakowski
AES
2004
Springer
151views Cryptology» more  AES 2004»
14 years 1 months ago
General Principles of Algebraic Attacks and New Design Criteria for Cipher Components
This paper is about the design of multivariate public key schemes, as well as block and stream ciphers, in relation to recent attacks that exploit various types of multivariate alg...
Nicolas Courtois