{"id":3740,"date":"2019-11-15T11:18:34","date_gmt":"2019-11-15T10:18:34","guid":{"rendered":"http:\/\/agora.xtec.cat\/iesverdaguer\/?p=3740"},"modified":"2019-11-15T14:21:10","modified_gmt":"2019-11-15T13:21:10","slug":"els-alumnes-de-batxillerat-aprenen-criptografia","status":"publish","type":"post","link":"https:\/\/agora.xtec.cat\/iesverdaguer\/general\/els-alumnes-de-batxillerat-aprenen-criptografia\/","title":{"rendered":"Els alumnes de Batxillerat aprenen criptografia"},"content":{"rendered":"<p style=\"text-align: justify;\">Els alumnes de 1er i 2n de Batxillerat que cursen matem\u00e0tiques han assistit aquesta setmana a la xerrada \u2013 taller \u00a0\u201cCriptografia, les matem\u00e0tiques de la informaci\u00f3 secreta\u201d, englobada en la Setmana de la Ci\u00e8ncia que organitza la Universitat de Barcelona.<\/p>\n<p style=\"text-align: justify;\">Despr\u00e9s d\u2019una confer\u00e8ncia en la que el Doctor Xavier Guitart (investigador del Dept. de Matem\u00e0tiques i Inform\u00e0tica de la UB) va fer un rep\u00e0s sobre la hist\u00f2ria i alguns m\u00e8todes d\u2019encriptaci\u00f3, els alumnes varen realitzar un taller pr\u00e0ctic en el qu\u00e8 van posar en pr\u00e0ctica tot el que se\u2019ls hi va explicar i van poder desencriptar alguns missatges.<\/p>\n<p style=\"text-align: justify;\">Molt sovint, quan enviem un missatge volem assegurar-nos que la informaci\u00f3 nom\u00e9s arribi al destinatari autoritzat i no a terceres persones. Per exemple, en una compra online volem que el n\u00famero de la nostra targeta de cr\u00e8dit estigui protegit, de manera que si un lladre intercepta la comunicaci\u00f3 no el pugui con\u00e8ixer. La criptografia \u00e9s el conjunt de t\u00e8cniques que s\u2019utilitzen per a transmetre informaci\u00f3 de forma segura i fer-la indesxifrable als adversaris no desitjats. Avui en dia, encara que no sempre en siguem conscients, en fem \u00fas de manera habitual en les nostres comunicacions digitals, per\u00f2 els inicis de la criptografia es remunten a fa m\u00e9s de dos mil d\u2019anys quan era utilitzada sobretot amb finalitats militars. En aquesta xerrada han fet un viatge a trav\u00e9s de la hist\u00f2ria de la criptografia i de les matem\u00e0tiques en qu\u00e8 es basa: des de les t\u00e8cniques de xifrat utilitzades pels espartans o per, segons diuen, el mateix Juli C\u00e8sar, fins a la revoluci\u00f3 matem\u00e0tica que es va viure a finals dels anys 70 del segle passat amb el descobriment de la criptografia de clau p\u00fablica, gr\u00e0cies a la qual les comunicacions digitals d\u2019avui en dia s\u00f3n possibles tal i com les coneixem.<\/p>\n<pre><span style=\"color: #3366ff;\">Departament de Matem\u00e0tiques\r\n\r\n<\/span><\/pre>\n<div id='gallery-1' class='gallery galleryid-3740 gallery-columns-3 gallery-size-medium'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/els-alumnes-de-batxillerat-aprenen-criptografia\/attachment\/photo-2019-11-15-09-02-50\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-50-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-50-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-50-768x1024.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-50.jpg 1536w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/els-alumnes-de-batxillerat-aprenen-criptografia\/attachment\/photo-2019-11-15-09-02-47\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-47-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-47-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-47-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-47-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-47-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-47.jpg 1280w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/els-alumnes-de-batxillerat-aprenen-criptografia\/attachment\/photo-2019-11-15-09-02-51\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-51-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-51-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-51-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-51-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-51-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-51.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon portrait'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/els-alumnes-de-batxillerat-aprenen-criptografia\/attachment\/photo-2019-11-15-09-02-52\/'><img loading=\"lazy\" decoding=\"async\" width=\"225\" height=\"300\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-225x300.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-225x300.jpg 225w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-768x1024.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52.jpg 1536w\" sizes=\"auto, (max-width: 225px) 100vw, 225px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/els-alumnes-de-batxillerat-aprenen-criptografia\/attachment\/photo-2019-11-15-09-02-52-1\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-1-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-1-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-1-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-1-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-1-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-52-1.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/agora.xtec.cat\/iesverdaguer\/general\/els-alumnes-de-batxillerat-aprenen-criptografia\/attachment\/photo-2019-11-15-09-02-53\/'><img loading=\"lazy\" decoding=\"async\" width=\"300\" height=\"225\" src=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-53-300x225.jpg\" class=\"attachment-medium size-medium\" alt=\"\" srcset=\"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-53-300x225.jpg 300w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-53-768x576.jpg 768w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-53-1024x768.jpg 1024w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-53-200x150.jpg 200w, https:\/\/agora.xtec.cat\/iesverdaguer\/wp-content\/uploads\/usu1342\/2019\/11\/PHOTO-2019-11-15-09-02-53.jpg 2048w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\n<pre><span style=\"color: #3366ff;\">\u00a0<\/span><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>Els alumnes de 1er i 2n de Batxillerat que cursen matem\u00e0tiques han assistit aquesta setmana a la xerrada \u2013 taller \u00a0\u201cCriptografia, les matem\u00e0tiques de la informaci\u00f3 secreta\u201d, englobada en la Setmana de la Ci\u00e8ncia que organitza la Universitat de Barcelona. Despr\u00e9s d\u2019una confer\u00e8ncia en la que el Doctor Xavier Guitart (investigador del Dept. de Matem\u00e0tiques [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":3741,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","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":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","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":[8,1,29],"tags":[],"class_list":["post-3740","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-batx","category-general","category-portada"],"post_mailing_queue_ids":[],"_links":{"self":[{"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/posts\/3740","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/comments?post=3740"}],"version-history":[{"count":2,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/posts\/3740\/revisions"}],"predecessor-version":[{"id":3750,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/posts\/3740\/revisions\/3750"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/media\/3741"}],"wp:attachment":[{"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/media?parent=3740"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/categories?post=3740"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/agora.xtec.cat\/iesverdaguer\/wp-json\/wp\/v2\/tags?post=3740"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}