{"id":18717,"date":"2024-12-14T08:45:55","date_gmt":"2024-12-14T07:45:55","guid":{"rendered":"https:\/\/college-willy-ronis.fr\/maths\/?p=18717"},"modified":"2025-01-07T15:39:03","modified_gmt":"2025-01-07T14:39:03","slug":"cryptographie","status":"publish","type":"post","link":"https:\/\/college-willy-ronis.fr\/maths\/cryptographie\/","title":{"rendered":"Cryptographie"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"18717\" class=\"elementor elementor-18717\">\n\t\t\t\t\t\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-de8fbe1 elementor-section-full_width elementor-section-height-default elementor-section-height-default\" data-id=\"de8fbe1\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;,&quot;shape_divider_bottom&quot;:&quot;wave-brush&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t<div class=\"elementor-shape elementor-shape-bottom\" data-negative=\"false\">\n\t\t\t<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 283.5 27.8\" preserveAspectRatio=\"none\">\n\t<path class=\"elementor-shape-fill\" d=\"M283.5,9.7c0,0-7.3,4.3-14,4.6c-6.8,0.3-12.6,0-20.9-1.5c-11.3-2-33.1-10.1-44.7-5.7\ts-12.1,4.6-18,7.4c-6.6,3.2-20,9.6-36.6,9.3C131.6,23.5,99.5,7.2,86.3,8c-1.4,0.1-6.6,0.8-10.5,2c-3.8,1.2-9.4,3.8-17,4.7\tc-3.2,0.4-8.3,1.1-14.2,0.9c-1.5-0.1-6.3-0.4-12-1.6c-5.7-1.2-11-3.1-15.8-3.7C6.5,9.2,0,10.8,0,10.8V0h283.5V9.7z M260.8,11.3\tc-0.7-1-2-0.4-4.3-0.4c-2.3,0-6.1-1.2-5.8-1.1c0.3,0.1,3.1,1.5,6,1.9C259.7,12.2,261.4,12.3,260.8,11.3z M242.4,8.6\tc0,0-2.4-0.2-5.6-0.9c-3.2-0.8-10.3-2.8-15.1-3.5c-8.2-1.1-15.8,0-15.1,0.1c0.8,0.1,9.6-0.6,17.6,1.1c3.3,0.7,9.3,2.2,12.4,2.7\tC239.9,8.7,242.4,8.6,242.4,8.6z M185.2,8.5c1.7-0.7-13.3,4.7-18.5,6.1c-2.1,0.6-6.2,1.6-10,2c-3.9,0.4-8.9,0.4-8.8,0.5\tc0,0.2,5.8,0.8,11.2,0c5.4-0.8,5.2-1.1,7.6-1.6C170.5,14.7,183.5,9.2,185.2,8.5z 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M152.2,21.1\tc-0.1,0.1-2.4-0.3-7.5-0.3c-5,0-13.6-2.4-17.2-3.5c-3.6-1.1,10,3.9,16.5,4.1C150.5,21.6,152.3,21,152.2,21.1z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M269.6,18c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC267.7,18.8,269.7,18,269.6,18z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M227.4,9.8c-0.2-0.1-4.5-1-9.5-1.2c-5-0.2-12.7,0.6-12.3,0.5c0.3-0.1,5.9-1.8,13.3-1.2\tS227.6,9.9,227.4,9.8z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M204.5,13.4c-0.1-0.1,2-1,3.2-1.1c1.2-0.1,2,0,2,0.3c0,0.3-0.1,0.5-1.6,0.4\tC206.4,12.9,204.6,13.5,204.5,13.4z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M201,10.6c0-0.1-4.4,1.2-6.3,2.2c-1.9,0.9-6.2,3.1-6.1,3.1c0.1,0.1,4.2-1.6,6.3-2.6\tS201,10.7,201,10.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M154.5,26.7c-0.1-0.1-4.6,0.3-7.2,0c-7.3-0.7-17-3.2-16.6-2.9c0.4,0.3,13.7,3.1,17,3.3\tC152.6,27.5,154.6,26.8,154.5,26.7z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M41.9,19.3c0,0,1.2-0.3,2.9-0.1c1.7,0.2,5.8,0.9,8.2,0.7c4.2-0.4,7.4-2.7,7-2.6\tc-0.4,0-4.3,2.2-8.6,1.9c-1.8-0.1-5.1-0.5-6.7-0.4S41.9,19.3,41.9,19.3z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M75.5,12.6c0.2,0.1,2-0.8,4.3-1.1c2.3-0.2,2.1-0.3,2.1-0.5c0-0.1-1.8-0.4-3.4,0\tC76.9,11.5,75.3,12.5,75.5,12.6z\"\/>\n\t<path class=\"elementor-shape-fill\" d=\"M15.6,13.2c0-0.1,4.3,0,6.7,0.5c2.4,0.5,5,1.9,5,2c0,0.1-2.7-0.8-5.1-1.4\tC19.9,13.7,15.7,13.3,15.6,13.2z\"\/>\n<\/svg>\t\t<\/div>\n\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-cd01c65\" data-id=\"cd01c65\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d88a499 elementor-widget elementor-widget-heading\" data-id=\"d88a499\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">Section d'excellence<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d93a4b9 elementor-widget elementor-widget-heading\" data-id=\"d93a4b9\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h1 class=\"elementor-heading-title elementor-size-default\">Cryptographie<\/h1>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-af11055 elementor-widget elementor-widget-text-editor\" data-id=\"af11055\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-18c762d\" data-id=\"18c762d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-57981bc elementor-widget elementor-widget-image\" data-id=\"57981bc\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"256\" height=\"192\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2023\/02\/cours-maths-4eme.png\" class=\"attachment-medium size-medium wp-image-15214\" alt=\"Cours de math\u00e9matiques de 4\u00e8me\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0421c49 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0421c49\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e33a116\" data-id=\"e33a116\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-d251c0b elementor-widget elementor-widget-spacer\" data-id=\"d251c0b\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-77e512f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"77e512f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bcf0802\" data-id=\"bcf0802\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-54bfe57 elementor-widget elementor-widget-text-editor\" data-id=\"54bfe57\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\tPour passer un message secret, on peut utiliser les acrostiches c&rsquo;est \u00e0 dire un po\u00e8me ou strophe o\u00f9 les initiales de chaque vers, lues dans le sens vertical, composent un nom ou un mot-cl\u00e9.\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6c97260 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6c97260\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-cc2492d\" data-id=\"cc2492d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-0d531d6 elementor-widget elementor-widget-spacer\" data-id=\"0d531d6\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-aef0475 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"aef0475\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bc1aae8\" data-id=\"bc1aae8\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-fb7a04d elementor-widget elementor-widget-heading\" data-id=\"fb7a04d\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">A) Les acrostiches<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9fd7830 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9fd7830\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-01a1309\" data-id=\"01a1309\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-eb28774 elementor-widget elementor-widget-text-editor\" data-id=\"eb28774\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Pour passer un message secret, on peut utiliser les acrostiches c&rsquo;est \u00e0 dire un po\u00e8me ou strophe o\u00f9 les initiales de chaque vers, lues dans le sens vertical, composent un nom ou un mot-cl\u00e9.\u00a0Dans le texte ci-dessous, la premi\u00e8re lettre de chaque phrase donne le message cach\u00e9 : \u00ab\u00a0codes secrets\u00a0\u00bb.<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f175df1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f175df1\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ceedee6\" data-id=\"ceedee6\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4972988 elementor-widget elementor-widget-image\" data-id=\"4972988\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"291\" height=\"297\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/acrostiche.png\" class=\"attachment-large size-large wp-image-18850\" alt=\"acrostiche\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-44893f1 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"44893f1\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7af261f\" data-id=\"7af261f\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-590e276 elementor-widget elementor-widget-text-editor\" data-id=\"590e276\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Herg\u00e9 utilise un proc\u00e9d\u00e9 comparable dans le <em>lotus bleu<\/em>. Tintin y capte par radio le message \u00e0 priori incompr\u00e9hensible suivant :<br \/>\u00ab\u00a0entre voie yokohama ns maison r charles andre dimanche seul aligner \u00e9cran ou tentures serpent marchera in\u00e9vitablement e proche occident halte intrus e \u00ab\u00a0\u00a0\u00bb.<br \/>Tintin finit par trouver la clef pour d\u00e9coder ce message. Comment s&rsquo;y prend-il ?<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-f2db1f0 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"f2db1f0\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e48404d\" data-id=\"e48404d\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-71a7de4 elementor-widget elementor-widget-spacer\" data-id=\"71a7de4\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-2496fdc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"2496fdc\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-ef6b617\" data-id=\"ef6b617\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7e2db7a elementor-widget elementor-widget-heading\" data-id=\"7e2db7a\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">B) Le code de C\u00e9sar<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b3efafc elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b3efafc\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-94e9f41\" data-id=\"94e9f41\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7cf7c2f elementor-widget elementor-widget-text-editor\" data-id=\"7cf7c2f\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\tLa substitution consiste \u00e0 remplacer chaque lettre du texte clair par une lettre, un signe ou un nombre. La m\u00e9thode la plus connue est le code de C\u00e9sar.\nPlus pr\u00e9cis\u00e9ment, son code consistait \u00e0 d\u00e9caler les lettres d&rsquo;une fa\u00e7on convenue \u00e0 l&rsquo;avance.\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8f2b4f4 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8f2b4f4\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-c67d805\" data-id=\"c67d805\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a4c2cee elementor-widget elementor-widget-text-editor\" data-id=\"a4c2cee\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<strong>Exemple :<\/strong> Le texte cod\u00e9 s&rsquo;obtient en rempla\u00e7ant chaque lettre du texte clair par la lettre qui est situ\u00e9e trois rangs plus loin dans l&rsquo;alphabet. La longueur du d\u00e9calage constitue la cl\u00e9 du chiffrement.<\/span>\n<p style=\"font-size: 16px; font-style: normal; font-weight: 400;\"><strong style=\"font-size: 16px; font-style: normal;\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-18854 size-full\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/code-cesar.png\" alt=\"Code C\u00e9sar\" width=\"522\" height=\"168\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/code-cesar.png 522w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/code-cesar-300x97.png 300w\" sizes=\"auto, (max-width: 522px) 100vw, 522px\" \/><\/strong><\/p>\nPar exemple, avec une cl\u00e9 de cryptage \u00e9gale \u00e0 3 (fig 2) le mot <em>CHAMPION<\/em> est cod\u00e9 par <em>FKDPSLRQ<\/em>.\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-86b099f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"86b099f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-35fc599\" data-id=\"35fc599\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ae8c776 elementor-widget elementor-widget-text-editor\" data-id=\"ae8c776\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ol><li>Avec la m\u00eame cl\u00e9 de cryptage, crypter votre pr\u00e9nom et d\u00e9crypter le mot <em>PDWKHPDWLTXHV<\/em>.<\/li><li style=\"text-align: left;\">D\u00e9crypter le texte suivant sachant que la cl\u00e9 de codage est 10 :\u00a0 <em>LSOXFOXEOKEMYVVOQOGSVVIBYXSC<\/em><\/li><li style=\"text-align: left;\">Le texte en clair suivant <em>RENDEZ-VOUS AU CDI <\/em>donne : <em style=\"font-size: 16px;\">WJSIJEATZXFZHIN. <\/em>D\u00e9terminer la cl\u00e9 de cryptage.<\/li><li style=\"text-align: left;\">D\u00e9crypter le texte suivant en supposant que le mot \u00ab\u00a0ENNEMI\u00a0\u00bb y figure :\u00a0<br \/><em>STYWJJSSJRNIJYTZOTZWXJXYIJWJYTZW<\/em><\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-71d6b5f elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"71d6b5f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-2c2f601\" data-id=\"2c2f601\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-03d930c elementor-widget__width-initial elementor-widget elementor-widget-text-editor\" data-id=\"03d930c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<iframe loading=\"lazy\" src=\"https:\/\/www.geogebra.org\/classic\/ky3uu8nb?embed\" width=\"800\" height=\"600\" allowfullscreen style=\"border: 1px solid #e4e4e4;border-radius: 4px;\" frameborder=\"0\"><\/iframe>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-23171f5 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"23171f5\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-30c9165\" data-id=\"30c9165\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-cb20d04 elementor-widget elementor-widget-spacer\" data-id=\"cb20d04\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9daea92 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9daea92\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d83621a\" data-id=\"d83621a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-373b516 elementor-widget elementor-widget-heading\" data-id=\"373b516\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">C) Le cryptage affine<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-0afa8be elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"0afa8be\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e384ee1\" data-id=\"e384ee1\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-9885a02 elementor-widget elementor-widget-text-editor\" data-id=\"9885a02\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\tUn cryptage affine consiste \u00e0 chiffrer chaque lettre de l&rsquo;alphabet, puis \u00e0 remplacer le nombre initial $x$ par le nombre $y$ qui est le reste de la division euclidienne de $ax+b$ par $26$.\nLes nombres $a$ et $b$ sont des entiers naturels qui forment la cl\u00e9 du cryptage. Dans le tableau ci-dessous, la cl\u00e9 de cryptage est $(3;7)$ (cela signifie que $a=3$ et $b=7$) :\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-731ae36 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"731ae36\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-afafd31\" data-id=\"afafd31\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-08c74db elementor-widget elementor-widget-image\" data-id=\"08c74db\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"669\" height=\"270\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/cryptage-affine.png\" class=\"attachment-large size-large wp-image-18864\" alt=\"tableau cryptage affine\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/cryptage-affine.png 669w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/cryptage-affine-300x121.png 300w\" sizes=\"auto, (max-width: 669px) 100vw, 669px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fe2d6f9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fe2d6f9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-bccb1d9\" data-id=\"bccb1d9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-1198864 elementor-widget elementor-widget-text-editor\" data-id=\"1198864\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<ol><li>Compl\u00e9ter le tableau puis coder votre pr\u00e9nom avec la cl\u00e9 $(3;7)$.<\/li><li>D\u00e9crypter la phrase <em>OT MGTJXG JT MGXPST NHNCT QHUJ OT NQF QP NXOOTZT<\/em> avec la cl\u00e9 $(3;7)$.<\/li><li>On prend maintenant pour cl\u00e9 $(5;13)$. Coder alors la phrase : <em>Le th\u00e9or\u00e8me de Pythagore permet de calculer des longueurs dans un triangle rectangle.<\/em><\/li><li>A vous de jouer : coder un message secret en utilisant le cryptage affine et en communiquant la cl\u00e9 permettant de le d\u00e9chiffrer.<\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-980e190 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"980e190\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6c1bc84\" data-id=\"6c1bc84\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-184144f elementor-widget elementor-widget-spacer\" data-id=\"184144f\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-8015a7e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"8015a7e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-37ebbd5\" data-id=\"37ebbd5\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-44359d3 elementor-widget elementor-widget-heading\" data-id=\"44359d3\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">C) Le carr\u00e9 de Polybe<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-ebce35d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"ebce35d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8512302\" data-id=\"8512302\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a47f66b elementor-widget elementor-widget-text-editor\" data-id=\"a47f66b\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\tPolybe (200 &#8211; 155 ans avant J\u00e9sus-Christ environ) \u00e9tait un g\u00e9n\u00e9ral reconnu de son temps. Il \u00e9crivit un trait\u00e9 de strat\u00e9gie, dans lequel on trouve le syst\u00e8me de transcription de signaux connu de nos jours sous son nom. Dans le carr\u00e9 de Polybe pr\u00e9sent\u00e9 ci-dessous, chaque lettre (sauf J qui est confondu \u00e0 I) est rep\u00e9r\u00e9e par un couple de nombres. Par exemple, M est cod\u00e9 par le couple $(3 ; 2)$, 3 \u00e9tant la ligne de M dans le carr\u00e9 et 2, sa colonne :\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-c2d945e elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"c2d945e\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-4ecfe71\" data-id=\"4ecfe71\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f705c72 elementor-widget elementor-widget-image\" data-id=\"f705c72\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"242\" height=\"157\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/polybe.png\" class=\"attachment-large size-large wp-image-18871\" alt=\"\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a7b042a elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a7b042a\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-6a80ecf\" data-id=\"6a80ecf\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-78bcc27 elementor-widget elementor-widget-text-editor\" data-id=\"78bcc27\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Avec le carr\u00e9 ci-dessus, le mot <em>maths<\/em> se coderait <em>3211442343<\/em>.<\/p><p>Le carr\u00e9 de Polybe permet alors de chiffrer si on le remplit dans un ordre diff\u00e9rent. Pour le r\u00e9aliser, le plus simple est d&rsquo;utiliser une phrase assez longue, mais facile \u00e0 retenir, comme \u00ab\u00a0Le coll\u00e8ge Willy Ronis est proche des bords de marne\u00a0\u00bb. Pour remplir le carr\u00e9, on \u00e9crit la phrase dans l&rsquo;ordre en commen\u00e7ant en haut \u00e0 gauche et en sautant les lettres d\u00e9j\u00e0 \u00e9crites. On compl\u00e8te ensuite par les lettres manquantes, toujours dans l&rsquo;ordre :<\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-88f79c9 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"88f79c9\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-8ce5188\" data-id=\"8ce5188\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-6ea6416 elementor-widget elementor-widget-image\" data-id=\"6ea6416\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"242\" height=\"155\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/polybe2.png\" class=\"attachment-large size-large wp-image-18872\" alt=\"carr\u00e9 de Polybe\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-6ed8442 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"6ed8442\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-de97381\" data-id=\"de97381\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-7bfd39a elementor-widget elementor-widget-text-editor\" data-id=\"7bfd39a\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Deux \u00e9l\u00e8ves du coll\u00e8ge Willy Ronis utilisent la phrase simple (\u00a0\u00bb Le coll\u00e8ge Willy Ronis est proche des bords de marne \u00ab\u00a0) et le carr\u00e9 de Polybe ci-dessus pour communiquer par message cod\u00e9.<\/p><ol><li>Quel message doit envoyer le premier \u00e9l\u00e8ve afin de coder les phrases suivantes : <em>La somme de deux nombres pairs est paire. La somme de deux nombres impairs est-elle paire ou impaire ? <\/em>Quel message cod\u00e9 doit envoyer le deuxi\u00e8me \u00e9l\u00e8ve afin de r\u00e9pondre \u00e0 la question pos\u00e9e<\/li><li>Deux enseignants du coll\u00e8ge pr\u00e9parent le brevet blanc et communiquent par message cod\u00e9 en utilisant un carr\u00e9 de Polybe. Le message est intercept\u00e9 par des \u00e9l\u00e8ves mais personne ne dispose de la clef pour le d\u00e9coder :<br \/><em>34122413111425144515221514341451252211351251215121221122131445111421321423451431143414213212111413<\/em><br \/>Sachant que le mot exercice a de forte chance d&rsquo;\u00eatre utilis\u00e9 dans le message, d\u00e9coder ce message.<br \/><br \/><\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-b9855ff elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"b9855ff\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-e80ad65\" data-id=\"e80ad65\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-4bdf29e elementor-widget elementor-widget-spacer\" data-id=\"4bdf29e\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-a3fe07d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"a3fe07d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-9cd79ce\" data-id=\"9cd79ce\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-255982f elementor-widget elementor-widget-heading\" data-id=\"255982f\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h2 class=\"elementor-heading-title elementor-size-default\">C) La scytale<\/h2>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-fedd441 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"fedd441\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-fff169a\" data-id=\"fff169a\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-ee15593 elementor-widget elementor-widget-text-editor\" data-id=\"ee15593\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Une technique de chiffrement \u00e9galement ancienne consiste \u00e0 changer l&rsquo;ordre des lettres d&rsquo;un texte, \u00e0 les m\u00e9langer en quelque sorte. Quand il est question de codes secrets, on parle alors de chiffrement par transposition.<\/p><p>On \u00e9crit sur un ruban enroul\u00e9 autour d&rsquo;un b\u00e2ton, appel\u00e9 scytale. Une fois d\u00e9roul\u00e9, le message devient incompr\u00e9hensible.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-18891 size-full\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale.png\" alt=\"\" width=\"333\" height=\"188\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale.png 333w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-300x169.png 300w\" sizes=\"auto, (max-width: 333px) 100vw, 333px\" \/><\/p><p>Voici le message \u00e0 coder :<br \/>LE COLLEGE WILLY RONIS SE SITUE DANS L&rsquo;ACADEMIE DE CRETEIL<br \/>Le chiffrement par scytale peut \u00eatre simul\u00e9 en utilisant un rectangle.<\/p><p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter wp-image-18888 size-full\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-2.png\" alt=\"\" width=\"318\" height=\"157\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-2.png 318w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-2-300x148.png 300w\" sizes=\"auto, (max-width: 318px) 100vw, 318px\" \/><\/p>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-dfee9ee elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"dfee9ee\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-1b55843\" data-id=\"1b55843\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a2d468c elementor-widget elementor-widget-text-editor\" data-id=\"a2d468c\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\tOn se donne ensuite une permutation des nombres de 1 \u00e0 8 (si le rectangle a 8 colonnes). Par exemple : 37128465. La premi\u00e8re colonne est alors recopi\u00e9e en troisi\u00e8me position, la deuxi\u00e8me en septi\u00e8me position&#8230;\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-4053162 elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"4053162\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-0995df7\" data-id=\"0995df7\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-f0f5579 elementor-widget elementor-widget-image\" data-id=\"f0f5579\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"319\" height=\"178\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-3.png\" class=\"attachment-large size-large wp-image-18889\" alt=\"\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-3.png 319w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-3-300x167.png 300w\" sizes=\"auto, (max-width: 319px) 100vw, 319px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"elementor-column elementor-col-50 elementor-top-column elementor-element elementor-element-3086d58\" data-id=\"3086d58\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a877f19 elementor-widget elementor-widget-image\" data-id=\"a877f19\" data-element_type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"311\" height=\"181\" src=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-4.png\" class=\"attachment-large size-large wp-image-18890\" alt=\"\" srcset=\"https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-4.png 311w, https:\/\/college-willy-ronis.fr\/maths\/wp-content\/uploads\/2024\/12\/scytale-4-300x175.png 300w\" sizes=\"auto, (max-width: 311px) 100vw, 311px\" \/>\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-9c4c47d elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"9c4c47d\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-d076b09\" data-id=\"d076b09\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-798b296 elementor-widget elementor-widget-text-editor\" data-id=\"798b296\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t<p>Cependant, il est difficile de m\u00e9moriser une suite de chiffres comme 37128465. Il est plus simple de se souvenir d&rsquo;un mot ayant un sens comme FRACTION. Pour le trouver, on classe les lettres de FRACTION dans l&rsquo;ordre alphab\u00e9tique : ACFINORT. Dans FRACTION, chaque lettre est alors remplac\u00e9e par son ordre d&rsquo;apparition dans ACFINORT, en excluant les doublons. Ainsi, la clef FRACTION cache la permutation 37128465.<\/p><ol><li>Deux \u00e9l\u00e8ves du coll\u00e8ge souhaitent utiliser un chiffrement par scytale pour communiquer. La clef de chiffrement est CRAYON. Aidez les \u00e0 coder le message suivant :<br \/><em>RENDEZ VOUS APRES LES COURS CHEZ ALEXANDRE<\/em><\/li><li>D\u00e9chiffrer le message suivant en utilisant la cl\u00e9 de chiffrement TRIANGLE.<br \/><em>NEBREAENORMDJMLOANUEDTUPLPALOTTRSAENBESDMIOMEAQLICRUOHEIAOPELMIU<\/em><\/li><\/ol>\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"elementor-section elementor-top-section elementor-element elementor-element-63da63c elementor-section-boxed elementor-section-height-default elementor-section-height-default\" data-id=\"63da63c\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-default\">\n\t\t\t\t\t<div class=\"elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-7304ced\" data-id=\"7304ced\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-widget-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5b40c9a elementor-widget elementor-widget-spacer\" data-id=\"5b40c9a\" data-element_type=\"widget\" data-widget_type=\"spacer.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-spacer\">\n\t\t\t<div class=\"elementor-spacer-inner\"><\/div>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Section d&rsquo;excellence Cryptographie Pour passer un message secret, on peut utiliser les acrostiches c&rsquo;est \u00e0 dire un po\u00e8me ou strophe o\u00f9 les initiales de chaque vers, lues dans le sens vertical, composent un nom ou un mot-cl\u00e9. A) Les acrostiches Pour passer un message secret, on peut utiliser les acrostiches c&rsquo;est \u00e0 dire un po\u00e8me [&hellip;]<\/p>\n","protected":false},"author":7440,"featured_media":18718,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"site-sidebar-layout":"no-sidebar","site-content-layout":"","ast-site-content-layout":"full-width-container","site-content-style":"default","site-sidebar-style":"unboxed","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"disabled","ast-breadcrumbs-content":"","ast-featured-img":"disabled","footer-sml-layout":"","theme-transparent-header-meta":"default","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"set","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[119],"tags":[],"class_list":["post-18717","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-actualites"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.2 - 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