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Elliptic periods and primality proving |
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| Authors: | Tony Ezome Reynald Lercier |
| Affiliation: | 1. Université des Sciences et Techniques de Masuku, Faculté des Sciences, Département de mathématiques et informatique, BP 943 Franceville, Gabon;2. DGA MI, La Roche Marguerite, 35174 Bruz, France;3. Institut de recherche mathématique de Rennes, Université de Rennes 1, Campus de Beaulieu, 35042 Rennes, France |
| Abstract: | We construct extension rings with fast arithmetic using isogenies between elliptic curves. As an application, we give an elliptic version of the AKS primality criterion. |
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