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» Complexity of Polynomial Multiplication over Finite Fields
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VIS
2004
IEEE
218views Visualization» more  VIS 2004»
16 years 5 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
15 years 4 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
15 years 8 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
16 years 4 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
15 years 4 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