{"id":1341,"date":"2020-10-03T17:34:31","date_gmt":"2020-10-03T15:34:31","guid":{"rendered":"https:\/\/blogs.futura-sciences.com\/lehning\/?p=1341"},"modified":"2021-11-05T18:47:16","modified_gmt":"2021-11-05T17:47:16","slug":"jeter-le-masque","status":"publish","type":"post","link":"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/","title":{"rendered":"Jeter le masque ?"},"content":{"rendered":"<p>La seule m\u00e9thode de chiffrement d\u00e9montr\u00e9e inviolable est le masque jetable &#8230; dont il est imp\u00e9ratif qu&#8217;il soit jet\u00e9 apr\u00e8s un seul usage. Avant d&#8217;expliquer pourquoi, il nous faut dire de quoi il s&#8217;agit.<\/p>\n<h2>Chiffrement par substitution<\/h2>\n<p>La m\u00e9thode de substitution la plus ancienne est attribu\u00e9e \u00e0 Jules\u00a0 C\u00e9sar, elle consiste \u00e0 d\u00e9caler les lettres du message d&#8217;un certain nombre. Si on choisit un d\u00e9calage d&#8217;une lettre, &#8220;cesar&#8221; devient &#8220;dftbs&#8221;. Pour un d\u00e9calage de deux lettres, nous obtenons &#8220;eguct&#8221; et ainsi de suite. On peut complexifier ce chiffrement en changeant de d\u00e9calage \u00e0 chaque lettre, la suite de d\u00e9calages est la clef de chiffrement. Si on utilise l&#8217;alphabet latin (de A \u00e0 Z), qu&#8217;on peut assimiler aux nombres de 0 \u00e0 25, ce la donne.<\/p>\n<p>&nbsp;<\/p>\n<table style=\"height: 159px\" width=\"333\">\n<tbody>\n<tr>\n<td width=\"55\">Clair<\/td>\n<td width=\"15\">V<\/td>\n<td width=\"15\">O<\/td>\n<td width=\"15\">I<\/td>\n<td width=\"15\">C<\/td>\n<td width=\"15\">I<\/td>\n<td width=\"15\">L<\/td>\n<td width=\"15\">E<\/td>\n<td width=\"15\">C<\/td>\n<td width=\"15\">L<\/td>\n<td width=\"15\">A<\/td>\n<td width=\"15\">I<\/td>\n<td width=\"15\">R<\/td>\n<\/tr>\n<tr>\n<td width=\"55\">Clef<\/td>\n<td width=\"15\">C<\/td>\n<td width=\"15\">E<\/td>\n<td width=\"15\">L<\/td>\n<td width=\"15\">A<\/td>\n<td width=\"15\">E<\/td>\n<td width=\"15\">S<\/td>\n<td width=\"15\">T<\/td>\n<td width=\"15\">L<\/td>\n<td width=\"15\">A<\/td>\n<td width=\"15\">C<\/td>\n<td width=\"15\">L<\/td>\n<td width=\"15\">E<\/td>\n<\/tr>\n<tr>\n<td width=\"55\">Chiffr\u00e9<\/td>\n<td width=\"15\">X<\/td>\n<td width=\"15\">S<\/td>\n<td width=\"15\">T<\/td>\n<td width=\"15\">C<\/td>\n<td width=\"15\">M<\/td>\n<td width=\"15\">D<\/td>\n<td width=\"15\">X<\/td>\n<td width=\"15\">N<\/td>\n<td width=\"15\">L<\/td>\n<td width=\"15\">C<\/td>\n<td width=\"15\">T<\/td>\n<td width=\"15\">V<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>&nbsp;<\/p>\n<p>Chaque d\u00e9calage correspond \u00e0 une addition. Pour la premi\u00e8re colonne V + C correspond \u00e0 21 + 2 = 23 soit X et ainsi de suite. Quand on obtient un nombre sup\u00e9rieur ou \u00e9gal \u00e0 26, on lui retranche 26. Par exemple, \u00e0 la sixi\u00e8me colonne, L + S correspond \u00e0 11 + 18 = 29 reste 3 d&#8217;o\u00f9 L + S = D.<\/p>\n<h2>Le masque jetable<\/h2>\n<p>Plus la clef est longue plus ce chiffre par substitution poly-alphab\u00e9tique est difficile \u00e0 d\u00e9crypter. En 1917, Gilbert Vernam en conclut que l&#8217;id\u00e9al \u00e9tait que la clef soit aussi longue que le message. Joseph Mauborgne remarqua plus tard qu&#8217;il valait mieux qu&#8217;elle soit al\u00e9atoire et par voie de cons\u00e9quence qu&#8217;on ne l&#8217;utilise qu&#8217;une fois. En 1949, en cr\u00e9ant la th\u00e9orie de l&#8217;information, Claude Shannon d\u00e9montra que ce chiffre \u00e9tait inviolable. C&#8217;est le seul dont on ait d\u00e9montr\u00e9 qu&#8217;il soit ind\u00e9cryptable.<\/p>\n<figure id=\"attachment_1347\" aria-describedby=\"caption-attachment-1347\" style=\"width: 300px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-1347 size-medium\" src=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/10\/claude-shannon-stock-image-300x224.jpg\" alt=\"\" width=\"300\" height=\"224\" srcset=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/10\/claude-shannon-stock-image-300x224.jpg 300w, https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/10\/claude-shannon-stock-image.jpg 510w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><figcaption id=\"caption-attachment-1347\" class=\"wp-caption-text\">Claude Shannon et une de ses cr\u00e9ations : la souris qui sort seule d&#8217;un labyrinthe.<\/figcaption><\/figure>\n<h2>Les m\u00e9saventures des Sovi\u00e9tiques<\/h2>\n<p>Les Sovi\u00e9tiques firent l&#8217;erreur d&#8217;utiliser deux fois la m\u00eame clef dans les ann\u00e9es 1930 d\u2019apr\u00e8s les archives britanniques. Ils persist\u00e8rent dans leur erreur apr\u00e8s la guerre ce qui facilita le projet <em>Venona<\/em> am\u00e9ricain de d\u00e9cryptement des messages des services de renseignements sovi\u00e9tiques. Trois mille messages furent ainsi d\u00e9crypt\u00e9s totalement ou partiellement. Une des cons\u00e9quences a \u00e9t\u00e9 la d\u00e9tection d\u2019espions sovi\u00e9tiques comme les \u00e9poux Rosenberg et les <em>cinq de Cambridge<\/em> dont le c\u00e9l\u00e8bre agent double Kim Philby. Cette faiblesse du masque jetable, que Claude Shannon a montr\u00e9 inviolable rappelle la diff\u00e9rence entre th\u00e9orie et pratique et surtout qu\u2019un th\u00e9or\u00e8me de math\u00e9matiques a des hypoth\u00e8ses strictes, ici le c\u00f4t\u00e9 al\u00e9atoire des clefs et leur utilisation unique. On ne peut l\u2019utiliser en dehors de ses conditions d\u2019application, m\u00eame si la question est tentante pour qui ne domine pas ces questions.<\/p>\n<h2>La faille &#8230;<\/h2>\n<p>Si on utilise deux fois la m\u00eame clef, il suffit de faire la diff\u00e9rence des deux chiffr\u00e9s pour faire dispara\u00eetre la clef. Plus pr\u00e9cis\u00e9ment, on obtient le premier message chiffr\u00e9 avec une clef li\u00e9e au second message. On utilise alors la m\u00e9thode du mot probable pour d\u00e9crypter le tout.<\/p>\n<!-- AddThis Advanced Settings generic via filter on the_content --><!-- AddThis Share Buttons generic via filter on the_content -->","protected":false},"excerpt":{"rendered":"<p>La seule m\u00e9thode de chiffrement d\u00e9montr\u00e9e inviolable est le masque jetable &#8230; dont il est imp\u00e9ratif qu&#8217;il soit jet\u00e9 apr\u00e8s un seul usage. Avant d&#8217;expliquer pourquoi, il nous faut dire de quoi il s&#8217;agit. Chiffrement par substitution La m\u00e9thode de substitution la plus ancienne est attribu\u00e9e \u00e0 Jules\u00a0 C\u00e9sar, elle consiste \u00e0 d\u00e9caler les lettres &hellip; <a href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/\" class=\"more-link\">Continuer la lecture de <span class=\"screen-reader-text\">Jeter le masque ?<\/span>  <span class=\"meta-nav\">&rarr;<\/span><\/a><!-- AddThis Advanced Settings generic via filter on get_the_excerpt --><!-- AddThis Share Buttons generic via filter on get_the_excerpt --><\/p>\n","protected":false},"author":12,"featured_media":1342,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":"","_links_to":"","_links_to_target":""},"categories":[9,8,63,29],"tags":[59,558,553,554,557,555,556],"class_list":["post-1341","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cryptologie","category-enigmes","category-histoire","category-maths-2","tag-cryptologie","tag-espionnage","tag-espions-sovietiques","tag-masques-jetables","tag-mauborgne","tag-shannon","tag-vernam"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v24.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jeter le masque ?, par Herv\u00e9 Lehning<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jeter le masque ?, par Herv\u00e9 Lehning\" \/>\n<meta property=\"og:description\" content=\"La seule m\u00e9thode de chiffrement d\u00e9montr\u00e9e inviolable est le masque jetable &#8230; dont il est imp\u00e9ratif qu&#8217;il soit jet\u00e9 apr\u00e8s un seul usage. Avant d&#8217;expliquer pourquoi, il nous faut dire de quoi il s&#8217;agit. Chiffrement par substitution La m\u00e9thode de substitution la plus ancienne est attribu\u00e9e \u00e0 Jules\u00a0 C\u00e9sar, elle consiste \u00e0 d\u00e9caler les lettres &hellip; Continuer la lecture de Jeter le masque ? &rarr;\" \/>\n<meta property=\"og:url\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/\" \/>\n<meta property=\"og:site_name\" content=\"MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\" \/>\n<meta property=\"article:published_time\" content=\"2020-10-03T15:34:31+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-11-05T17:47:16+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/10\/jetermasque.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"340\" \/>\n\t<meta property=\"og:image:height\" content=\"227\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u00c9crit par\" \/>\n\t<meta name=\"twitter:data1\" content=\"\" \/>\n\t<meta name=\"twitter:label2\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/\",\"name\":\"Jeter le masque ?, par Herv\u00e9 Lehning\",\"isPartOf\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/10\/jetermasque.jpg\",\"datePublished\":\"2020-10-03T15:34:31+00:00\",\"dateModified\":\"2021-11-05T17:47:16+00:00\",\"author\":{\"@id\":\"\"},\"breadcrumb\":{\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"fr-FR\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/#primaryimage\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/10\/jetermasque.jpg\",\"contentUrl\":\"https:\/\/blogs.futura-sciences.com\/lehning\/wp-content\/uploads\/sites\/13\/2020\/10\/jetermasque.jpg\",\"width\":340,\"height\":227},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/2020\/10\/03\/jeter-le-masque\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jeter le masque ?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/blogs.futura-sciences.com\/lehning\/#website\",\"url\":\"https:\/\/blogs.futura-sciences.com\/lehning\/\",\"name\":\"MATH&#039;MONDE, le blog d&#039;Herv\u00e9 LEHNING, agr\u00e9g\u00e9 de math\u00e9matiques\",\"description\":\"Comment comprendre le monde moderne sans culture math\u00e9matique ? 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