Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic
Résumé
We prove that the discrete logarithm problem can be solved in quasi-polynomial expected time in the multiplicative group of finite fields of fixed characteristic. More generally, we prove that it can be solved in the field of cardinality $p^n$ in expected time $(pn)^{2\log_2(n) + O(1)}$.
Domaines
Arithmétique des ordinateursOrigine | Fichiers produits par l'(les) auteur(s) |
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