Efficient Arithmetic in Successive Algebraic Extension Fields Using Symmetries
Résumé
In this article, we present new results for efficient arithmetic operations in a number field K represented by successive extensions. These results are based on multi-modular and evaluation-interpolation techniques. We show how to use intrinsic symmetries in order to increase the efficiency of these techniques. Applications to splitting fields of univariate polynomials are presented.
Domaines
Calcul formel [cs.SC]| Origine | Fichiers produits par l'(les) auteur(s) |
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