{"id":4294,"date":"2021-09-21T13:05:53","date_gmt":"2021-09-21T12:05:53","guid":{"rendered":"https:\/\/cyberschool.univ-rennes.fr\/?page_id=4294"},"modified":"2026-03-12T14:35:51","modified_gmt":"2026-03-12T13:35:51","slug":"theorie-algorithmique-des-nombres-pour-la-cryptographie","status":"publish","type":"page","link":"https:\/\/cyberschool.univ-rennes.fr\/en\/education\/masters-and-postgraduate-programmes\/masters-in-mathematics-and-applications-it-mathematics-and-cryptography\/study-programme-of-the-masters-mathematics-and-applications-it-mathematics-and-cryptography\/theorie-algorithmique-des-nombres-pour-la-cryptographie\/","title":{"rendered":"Th\u00e9orie algorithmique des nombres pour la cryptographie"},"content":{"rendered":"\n<section class=\"txt\">\n    <div class=\"container\">\n        <div class=\"bloc-txt\">\n                            <h2><span class=\"elipse\"><\/span><span class=\"trait\"><\/span>Course description<\/h2>\n                        <div class=\"contain-txt\">\n<ul>\n<li>M\u00e9thodes de preuve de primalit\u00e9 et de factorisation avanc\u00e9es (QS, NFS, AKS, ECM, ECPP)<\/li>\n<li>Calcul du logarithme discret par calcul d\u2019indice<\/li>\n<li>Construction par CM ou comptage de points par l\u2019AGM suivant le temps disponible<\/li>\n<li>Bases de Groebner<\/li>\n<li>Suivant le temps disponible, on pourra \u00e9galement aborder les couplages ou les isog\u00e9nies et leurs applications en cryptographie<\/li>\n<\/ul>\n<\/div>\n\n        <\/div>\n    <\/div>\n<\/section>\n\n\n<section class=\"tuiles\">\n    <div class=\"container\">\n                <div class=\"bloc\">\n            <h2><span class=\"elipse\"><\/span><span class=\"trait\"><\/span>Skills to acquire<\/h2>\n            <p>Ma\u00eetriser les fondements math\u00e9matiques de la cryptanalyse.<\/p>\n\n                    <\/div>\n                <div class=\"bloc\">\n            <h2><span class=\"elipse\"><\/span><span class=\"trait\"><\/span>Keywords<\/h2>\n            <p>Factorisation, primalit\u00e9, logarithme discret, comptage de points, cryptanalyse.<\/p>\n\n                    <\/div>\n            <\/div>\n<\/section>\n\n\n\n<section class=\"txt\">\n    <div class=\"container\">\n        <div class=\"bloc-txt\">\n                            <h2><span class=\"elipse\"><\/span><span class=\"trait\"><\/span>Biographies<\/h2>\n                        <div class=\"contain-txt\">\n<div class=\"contain-txt\">\n<p><strong>Reynald Lercier<\/strong> est ing\u00e9nieur de l\u2019armement \u00e0 DGA-MI.<\/p>\n<p><strong>Felix Ulmer<\/strong> est professeur \u00e0 l\u2019Universit\u00e9 de Rennes et ancien directeur de l\u2019IRMAR.<\/p>\n<\/div>\n<\/div>\n\n        <\/div>\n    <\/div>\n<\/section>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":8,"featured_media":0,"parent":11605,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.13 - 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