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CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 7 months ago
Simultaneous Modular Reduction and Kronecker Substitution for Small Finite Fields
We present algorithms to perform modular polynomial multiplication or modular dot product efficiently in a single machine word. We pack polynomials into integers and perform sever...
Jean-Guillaume Dumas, Laurent Fousse, Bruno Salvy
AAECC
2008
Springer
83views Algorithms» more  AAECC 2008»
13 years 7 months ago
Fast separable factorization and applications
Abstract. In this paper we show that the separable decomposition of a univariate polynomial can be computed in softly optimal time, in terms of the number of arithmetic operations ...
Grégoire Lecerf
DM
2007
98views more  DM 2007»
13 years 7 months ago
p-adic valuations and k-regular sequences
A sequence is said to be k-automatic if the nth term of this sequence is generated by a finite state machine with n in base k as input. Regular sequences were first defined by ...
Jason P. Bell
ADG
1998
Springer
127views Mathematics» more  ADG 1998»
13 years 11 months ago
Decomposing Algebraic Varieties
Abstract. This paper describes a complete implementation of Ritt-Wu's characteristic sets method in the Maple system. The implemented algorithms include those with variants fo...
Dongming Wang
CORR
2010
Springer
99views Education» more  CORR 2010»
13 years 7 months ago
On Functional Decomposition of Multivariate Polynomials with Differentiation and Homogenization
In this paper, we give a theoretical analysis for the algorithms to compute functional decomposition for multivariate polynomials based on differentiation and homogenization which ...
Shang-Wei Zhao, Ruyong Feng, Xiao-Shan Gao