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Improvements in the computation of ideal class groups of imaginary quadratic number fields
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Local-global aspects of (hyper)elliptic curves over (in)finite fields
Optimization of the arithmetic of the ideal class group for genus 4 hyperelliptic curves over projective coordinates
| 1. | Depto de Ingeniería Industrial, Universidad de Santiago de Chile, Av. Ecuador 3769, Santiago, Chile, Chile, Chile |
| 2. | Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca |
| 3. | Fakultät für Mathematik, Ruhr-Universität Bochum and Horst Gösrtz Institut für IT-Sicherheit, Universitätsstraße 150, D-44780 Bochum, Germany |
These formulas can be useful for public key encryption in some environments where computing the inverse of a field element has a high computational cost (either in time, power consumption or hardware price), in particular with embedded microprocessors.
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