{"id":431,"date":"2021-04-08T10:53:45","date_gmt":"2021-04-08T20:53:45","guid":{"rendered":"https:\/\/recherche.upf.pf\/?post_type=laboratoire&#038;p=431"},"modified":"2025-10-15T08:41:51","modified_gmt":"2025-10-15T18:41:51","slug":"gaati","status":"publish","type":"laboratoire","link":"https:\/\/recherche.upf.pf\/en\/laboratoire\/gaati\/","title":{"rendered":"GAATI \u2014 Algebraic Geometry and Applications to Information Theory"},"content":{"rendered":"<p>The laboratory for Algebraic Geometry and Applications to Information Theory (GAATI in French) is a mathematics research unit accredited since 2004 by the French Ministry of Higher Education and Research (EA 3893). It is the only research group in mathematics in French Polynesia.<\/p>\n<p>The efforts of the GAATI laboratory aim to increase the efficiency and security of information transport and control systems through the development of new computational and cryptographic techniques. To this extent, the laboratory develops and exploits mathematical methods based on algebraic geometry and number theory.<\/p>","protected":false},"author":57,"featured_media":1190,"template":"","coauthors":[176,361],"class_list":["post-431","laboratoire","type-laboratoire","status-publish","has-post-thumbnail","hentry","entry"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>GAATI \u2014 Algebraic Geometry and Applications to Information Theory &#8226;<\/title>\n<meta name=\"description\" content=\"D\u00e9couvrir le laboratoire de G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l&#039;Information de l&#039;Universit\u00e9 de la Polyn\u00e9sie fran\u00e7aise.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/recherche.upf.pf\/en\/laboratoire\/gaati\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"GAATI \u2014 Algebraic Geometry and Applications to Information Theory &#8226;\" \/>\n<meta property=\"og:description\" content=\"D\u00e9couvrir le laboratoire de G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l&#039;Information de l&#039;Universit\u00e9 de la Polyn\u00e9sie fran\u00e7aise.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/\" \/>\n<meta property=\"og:site_name\" content=\"Recherche UPF\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/univpf\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-15T18:41:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/recherche.upf.pf\/wp-content\/uploads\/2021\/06\/bqlw0ora6f4.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1600\" \/>\n\t<meta property=\"og:image:height\" content=\"1200\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@univpf\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"3 minutes\" \/>\n\t<meta name=\"twitter:label2\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data2\" content=\"Roger Oyono Essam, Gaetan Bisson\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/laboratoire\\\/gaati\\\/\",\"url\":\"https:\\\/\\\/recherche.upf.pf\\\/laboratoire\\\/gaati\\\/\",\"name\":\"GAATI \u2014 Algebraic Geometry and Applications to Information Theory &#8226;\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/laboratoire\\\/gaati\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/laboratoire\\\/gaati\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/recherche.upf.pf\\\/wp-content\\\/uploads\\\/2021\\\/06\\\/bqlw0ora6f4.jpg\",\"datePublished\":\"2021-04-08T20:53:45+00:00\",\"dateModified\":\"2025-10-15T18:41:51+00:00\",\"description\":\"D\u00e9couvrir le laboratoire de G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l'Information de l'Universit\u00e9 de la Polyn\u00e9sie fran\u00e7aise.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/laboratoire\\\/gaati\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/recherche.upf.pf\\\/laboratoire\\\/gaati\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/laboratoire\\\/gaati\\\/#primaryimage\",\"url\":\"https:\\\/\\\/recherche.upf.pf\\\/wp-content\\\/uploads\\\/2021\\\/06\\\/bqlw0ora6f4.jpg\",\"contentUrl\":\"https:\\\/\\\/recherche.upf.pf\\\/wp-content\\\/uploads\\\/2021\\\/06\\\/bqlw0ora6f4.jpg\",\"width\":1600,\"height\":1200,\"caption\":\"text\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/laboratoire\\\/gaati\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\\\/\\\/recherche.upf.pf\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"GAATI \u2014 G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l\u2019Information\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/#website\",\"url\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/\",\"name\":\"Recherche - Universit\u00e9 de la Polyn\u00e9sie Fran\u00e7aise\",\"description\":\"University of French Polynesia\",\"publisher\":{\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/#organization\"},\"alternateName\":\"Recherche UPF\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/#organization\",\"name\":\"Universit\u00e9 de la Polyn\u00e9sie Fran\u00e7aise\",\"url\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/recherche.upf.pf\\\/wp-content\\\/uploads\\\/2021\\\/02\\\/Logo-UPF.png\",\"contentUrl\":\"https:\\\/\\\/recherche.upf.pf\\\/wp-content\\\/uploads\\\/2021\\\/02\\\/Logo-UPF.png\",\"width\":2132,\"height\":968,\"caption\":\"Universit\u00e9 de la Polyn\u00e9sie Fran\u00e7aise\"},\"image\":{\"@id\":\"https:\\\/\\\/recherche.upf.pf\\\/fr\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/univpf\",\"https:\\\/\\\/x.com\\\/univpf\",\"https:\\\/\\\/www.instagram.com\\\/univpf\\\/\",\"https:\\\/\\\/www.linkedin.com\\\/school\\\/universit\u00e9-de-la-polyn\u00e9sie-fran\u00e7aise\\\/\",\"https:\\\/\\\/www.youtube.com\\\/channel\\\/UC535-cUv9j7pnLabFCFc17g\",\"https:\\\/\\\/fr.wikipedia.org\\\/wiki\\\/Universit\u00e9_de_la_Polyn\u00e9sie_fran\u00e7aise\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"GAATI \u2014 Algebraic Geometry and Applications to Information Theory &#8226;","description":"D\u00e9couvrir le laboratoire de G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l'Information de l'Universit\u00e9 de la Polyn\u00e9sie fran\u00e7aise.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/recherche.upf.pf\/en\/laboratoire\/gaati\/","og_locale":"en_US","og_type":"article","og_title":"GAATI \u2014 Algebraic Geometry and Applications to Information Theory &#8226;","og_description":"D\u00e9couvrir le laboratoire de G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l'Information de l'Universit\u00e9 de la Polyn\u00e9sie fran\u00e7aise.","og_url":"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/","og_site_name":"Recherche UPF","article_publisher":"https:\/\/www.facebook.com\/univpf","article_modified_time":"2025-10-15T18:41:51+00:00","og_image":[{"width":1600,"height":1200,"url":"https:\/\/recherche.upf.pf\/wp-content\/uploads\/2021\/06\/bqlw0ora6f4.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_site":"@univpf","twitter_misc":{"Est. reading time":"3 minutes","Written by":"Roger Oyono Essam, Gaetan Bisson"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/","url":"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/","name":"GAATI \u2014 Algebraic Geometry and Applications to Information Theory &#8226;","isPartOf":{"@id":"https:\/\/recherche.upf.pf\/fr\/#website"},"primaryImageOfPage":{"@id":"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/#primaryimage"},"image":{"@id":"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/#primaryimage"},"thumbnailUrl":"https:\/\/recherche.upf.pf\/wp-content\/uploads\/2021\/06\/bqlw0ora6f4.jpg","datePublished":"2021-04-08T20:53:45+00:00","dateModified":"2025-10-15T18:41:51+00:00","description":"D\u00e9couvrir le laboratoire de G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l'Information de l'Universit\u00e9 de la Polyn\u00e9sie fran\u00e7aise.","breadcrumb":{"@id":"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/recherche.upf.pf\/laboratoire\/gaati\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/#primaryimage","url":"https:\/\/recherche.upf.pf\/wp-content\/uploads\/2021\/06\/bqlw0ora6f4.jpg","contentUrl":"https:\/\/recherche.upf.pf\/wp-content\/uploads\/2021\/06\/bqlw0ora6f4.jpg","width":1600,"height":1200,"caption":"text"},{"@type":"BreadcrumbList","@id":"https:\/\/recherche.upf.pf\/laboratoire\/gaati\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/recherche.upf.pf\/"},{"@type":"ListItem","position":2,"name":"GAATI \u2014 G\u00e9om\u00e9trie Alg\u00e9brique et Applications \u00e0 la Th\u00e9orie de l\u2019Information"}]},{"@type":"WebSite","@id":"https:\/\/recherche.upf.pf\/fr\/#website","url":"https:\/\/recherche.upf.pf\/fr\/","name":"Recherche - Universit\u00e9 de la Polyn\u00e9sie Fran\u00e7aise","description":"University of French Polynesia","publisher":{"@id":"https:\/\/recherche.upf.pf\/fr\/#organization"},"alternateName":"Recherche UPF","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/recherche.upf.pf\/fr\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/recherche.upf.pf\/fr\/#organization","name":"Universit\u00e9 de la Polyn\u00e9sie Fran\u00e7aise","url":"https:\/\/recherche.upf.pf\/fr\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/recherche.upf.pf\/fr\/#\/schema\/logo\/image\/","url":"https:\/\/recherche.upf.pf\/wp-content\/uploads\/2021\/02\/Logo-UPF.png","contentUrl":"https:\/\/recherche.upf.pf\/wp-content\/uploads\/2021\/02\/Logo-UPF.png","width":2132,"height":968,"caption":"Universit\u00e9 de la Polyn\u00e9sie Fran\u00e7aise"},"image":{"@id":"https:\/\/recherche.upf.pf\/fr\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/univpf","https:\/\/x.com\/univpf","https:\/\/www.instagram.com\/univpf\/","https:\/\/www.linkedin.com\/school\/universit\u00e9-de-la-polyn\u00e9sie-fran\u00e7aise\/","https:\/\/www.youtube.com\/channel\/UC535-cUv9j7pnLabFCFc17g","https:\/\/fr.wikipedia.org\/wiki\/Universit\u00e9_de_la_Polyn\u00e9sie_fran\u00e7aise"]}]}},"jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/laboratoire\/431","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/laboratoire"}],"about":[{"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/types\/laboratoire"}],"author":[{"embeddable":true,"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/users\/57"}],"version-history":[{"count":9,"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/laboratoire\/431\/revisions"}],"predecessor-version":[{"id":5577,"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/laboratoire\/431\/revisions\/5577"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/media\/1190"}],"wp:attachment":[{"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/media?parent=431"}],"wp:term":[{"taxonomy":"author","embeddable":true,"href":"https:\/\/recherche.upf.pf\/en\/wp-json\/wp\/v2\/coauthors?post=431"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}