{"id":4251,"date":"2021-09-17T15:02:56","date_gmt":"2021-09-17T14:02:56","guid":{"rendered":"https:\/\/cyberschool.univ-rennes.fr\/?page_id=4251"},"modified":"2026-03-12T14:35:46","modified_gmt":"2026-03-12T13:35:46","slug":"reseaux-euclidiens-en-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\/reseaux-euclidiens-en-cryptographie\/","title":{"rendered":"R\u00e9seaux euclidiens en 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>D\u00e9finitions et propri\u00e9t\u00e9s \u00e9l\u00e9mentaires (Gram-Schmidt, Minkowski) puis les bornes th\u00e9oriques sur les vecteurs courts<\/li>\n<li>LLL : Algorithme de proprification, algorithme global, analyse de la complexit\u00e9<\/li>\n<li>SVP\/CVP, r\u00e9seau dual, smoothing parameter, gaussiennes discr\u00e8tes<\/li>\n<li>Complexit\u00e9 des probl\u00e8mes sur les r\u00e9seaux<\/li>\n<li>Distributions Gaussiennes discr\u00e8tes<\/li>\n<li>Probl\u00e8mes SIS et LWE<\/li>\n<li>Construction de signature (Fiat-Shamir, Trappes, Signatures GPV, Signatures mod\u00e8le standard)<\/li>\n<li>Construction de chiffrement \u00e0 cl\u00e9 publique reposant sur LWE (Regev, Dual Regev)<\/li>\n<li>R\u00e9seaux structur\u00e9s<\/li>\n<li>D\u00e9tails des protocoles Kyber et Dilithium<\/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>Connaitre et \u00eatre en mesure d\u2019utiliser dans des applications r\u00e9elles la cryptographie \u00e0 base de r\u00e9seaux euclidiens, en particulier dans un cadre post-quantique.<\/p>\n\n                    <\/div>\n                <div class=\"bloc\">\n            <h2><span class=\"elipse\"><\/span><span class=\"trait\"><\/span>Keywords<\/h2>\n            <p>R\u00e9seaux euclidiens, cryptographie post-quantique, LWE, R-LWE.<\/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>Florian Mehats <\/strong>est professeur en Math\u00e9matiques \u00e0 l\u2019Universit\u00e9 de Rennes, actuellement en d\u00e9tachement chez Sopra-Steria sp\u00e9cialis\u00e9 dans le chiffrement homomorphe et ancien directeur de l\u2019IRMAR.<\/p>\n<p><strong>Corentin Jeudy<\/strong> est Ing\u00e9nieur chez Orange.<\/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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