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» Complexity of Polynomial Multiplication over Finite Fields
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VIS
2004
IEEE
218views Visualization» more  VIS 2004»
14 years 8 months ago
Pixel-Exact Rendering of Spacetime Finite Element Solutions
Computational simulation of time-varying physical processes is of fundamental importance for many scientific and engineering applications. Most frequently, time-varying simulation...
Michael Garland, Robert Haber, Yuan Zhou
JBI
2008
13 years 7 months ago
The Field Representation Language
The complexity of quantitative biomedical models, and the rate at which they are published, is increasing to a point where managing the information has become all but impossible w...
Guy Tsafnat
EUROCRYPT
2000
Springer
13 years 11 months ago
An Algorithm for Solving the Discrete Log Problem on Hyperelliptic Curves
We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
Pierrick Gaudry
DCC
2002
IEEE
14 years 7 months ago
Itoh-Tsujii Inversion in Standard Basis and Its Application in Cryptography and Codes
This contribution is concerned with a generalization of Itoh and Tsujii's algorithm for inversion in extension fields GF(qm ). Unlike the original algorithm, the method introd...
Jorge Guajardo, Christof Paar
DCC
2000
IEEE
13 years 7 months ago
Efficient Arithmetic on Koblitz Curves
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
Jerome A. Solinas