{"id":18574,"date":"2025-04-19T08:00:16","date_gmt":"2025-04-19T05:00:16","guid":{"rendered":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/"},"modified":"2025-04-19T08:00:16","modified_gmt":"2025-04-19T05:00:16","slug":"modern-sifrelemenin-temeli-rsa-algoritmasi","status":"publish","type":"post","link":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/","title":{"rendered":"Modern \u015eifrelemenin Temeli: RSA Algoritmas\u0131"},"content":{"rendered":"<p><body><\/p>\n<p>Modern \u015eifrelemenin Temeli: RSA Algoritmas\u0131<\/p>\n<p>G\u00fcn\u00fcm\u00fcz dijital d\u00fcnyas\u0131nda g\u00fcvenli ileti\u015fim olmazsa olmazd\u0131r.  Bu g\u00fcvenli\u011fi sa\u011flayan en \u00f6nemli teknolojilerden biri de RSA algoritmas\u0131d\u0131r.  RSA, a\u00e7\u0131k anahtarl\u0131 \u015fifreleme sistemlerinin en yayg\u0131n ve g\u00fcvenilir \u00f6rneklerinden biri olup,  internet bankac\u0131l\u0131\u011f\u0131, e-posta g\u00fcvenli\u011fi ve dijital imzalar gibi bir\u00e7ok uygulamada kullan\u0131lmaktad\u0131r. Peki, bu g\u00fc\u00e7l\u00fc algoritma nas\u0131l \u00e7al\u0131\u015f\u0131r?<\/p>\n<h2>RSA&#8217;n\u0131n Matematiksel Temelleri<\/h2>\n<p>RSA algoritmas\u0131n\u0131n kalbinde asal say\u0131lar ve say\u0131lar teorisi yer al\u0131r.  Basit\u00e7e \u00f6zetlersek,  iki b\u00fcy\u00fck asal say\u0131 (p ve q) se\u00e7ilir ve bu say\u0131lar\u0131n \u00e7arp\u0131m\u0131 (n = p * q) hesaplan\u0131r.  n say\u0131s\u0131, herkese a\u00e7\u0131k olan &#8220;kamu anahtar\u0131&#8221;n\u0131 olu\u015fturur.  Ard\u0131ndan,  Euler&#8217;in totient fonksiyonu kullan\u0131larak (\u03c6(n) = (p-1)(q-1)) bir di\u011fer say\u0131 hesaplan\u0131r.  Sonras\u0131nda,  \u03c6(n) say\u0131s\u0131 ile aralar\u0131nda asal olan bir say\u0131 (e) se\u00e7ilir.  Bu say\u0131 da kamu anahtar\u0131d\u0131r.  Son ad\u0131mda ise,  e say\u0131s\u0131n\u0131n mod\u00fcler tersini (d) buluruz.  d say\u0131s\u0131 ise gizli tutulan &#8220;\u00f6zel anahtar&#8221;d\u0131r.  \u015eifreleme ve \u015fifre \u00e7\u00f6zme i\u015flemleri bu say\u0131lar kullan\u0131larak yap\u0131l\u0131r.<\/p>\n<h3>\u015eifreleme \u0130\u015flemi<\/h3>\n<p>Bir mesaj (m) \u015fifrelenirken,  a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131l\u0131r:<\/p>\n<pre><code>c = m<sup>e<\/sup> mod n<\/code><\/pre>\n<p>Burada c, \u015fifreli metni temsil eder.  Bu i\u015flem,  herhangi bir hesaplama cihaz\u0131 taraf\u0131ndan kamu anahtar\u0131 (n ve e) kullan\u0131larak ger\u00e7ekle\u015ftirilebilir.  Yani,  \u015fifrelenmi\u015f mesaj\u0131 herkes g\u00f6rebilsin ama \u00e7\u00f6zememesin diye kamuya a\u00e7\u0131k bir anahtar kullan\u0131l\u0131yor.<\/p>\n<h3>\u015eifre \u00c7\u00f6zme \u0130\u015flemi<\/h3>\n<p>\u015eifreli mesaj (c) \u00e7\u00f6z\u00fcmlenirken ise,  a\u015fa\u011f\u0131daki form\u00fcl kullan\u0131l\u0131r:<\/p>\n<pre><code>m = c<sup>d<\/sup> mod n<\/code><\/pre>\n<p>Bu i\u015flem ancak \u00f6zel anahtar (d) kullan\u0131larak yap\u0131labilir.  Bu \u00f6zel anahtar\u0131n gizlili\u011fi,  RSA algoritmas\u0131n\u0131n g\u00fcvenli\u011finin temelini olu\u015fturmaktad\u0131r.  \u00d6zel anahtar\u0131n bulunmas\u0131,  iki b\u00fcy\u00fck asal say\u0131n\u0131n \u00e7arpanlar\u0131na ayr\u0131lmas\u0131 kadar zor olan bir i\u015flemdir ve g\u00fcn\u00fcm\u00fczdeki bilgisayar teknolojisi ile bu i\u015flem pratik olarak imkans\u0131zd\u0131r.<\/p>\n<h2>RSA&#8217;n\u0131n G\u00fcvenli\u011fi ve Uygulamalar\u0131<\/h2>\n<p>RSA&#8217;n\u0131n g\u00fcvenli\u011fi,  asal say\u0131lar\u0131n \u00e7arpanlar\u0131na ayr\u0131lmas\u0131n\u0131n zorlu\u011funa dayan\u0131r.  Ancak,  asal say\u0131lar\u0131n b\u00fcy\u00fckl\u00fc\u011f\u00fc ve hesaplama g\u00fcc\u00fcn\u00fcn artmas\u0131yla birlikte,  RSA&#8217;n\u0131n g\u00fcvenli\u011fi de zamanla azalabilir.  Bu nedenle,  g\u00fcvenli bir RSA uygulamas\u0131 i\u00e7in yeterince b\u00fcy\u00fck asal say\u0131lar kullan\u0131lmas\u0131 ve algoritman\u0131n d\u00fczenli olarak g\u00fcncellenmesi gerekmektedir. G\u00fcn\u00fcm\u00fczde,  2048 bitlik veya daha b\u00fcy\u00fck asal say\u0131lar kullan\u0131lmaktad\u0131r.<\/p>\n<p>RSA algoritmas\u0131,  dijital imzalar,  SSL\/TLS protokolleri ve  PGP gibi bir\u00e7ok g\u00fcvenlik uygulamas\u0131nda temel bir rol oynar.  Bu uygulamalar sayesinde,  g\u00fcvenli online i\u015flemler,  g\u00fcvenilir e-posta ileti\u015fimi ve  verilerin g\u00fcvenli bir \u015fekilde depolanmas\u0131 sa\u011flan\u0131r.  K\u0131sacas\u0131,  RSA algoritmas\u0131,  dijital d\u00fcnyan\u0131n g\u00fcvenli\u011fini sa\u011flayan temel ta\u015flardan biridir.<\/p>\n<p>Daha detayl\u0131 bilgi i\u00e7in <a href=\"https:\/\/fatihsoysal.com\">fatihsoysal.com<\/a> adresini ziyaret edebilirsiniz.  Konu hakk\u0131nda daha fazla bilgi edinmek i\u00e7in <a href=\"https:\/\/www.rfc-editor.org\/rfc\/rfc3447\">RFC 3447<\/a> belgesine de g\u00f6z atabilirsiniz.<\/p>\n<h2>Sonu\u00e7<\/h2>\n<p>RSA algoritmas\u0131,  karma\u015f\u0131k matematiksel i\u015flemler \u00fczerine kurulu g\u00fc\u00e7l\u00fc bir \u015fifreleme y\u00f6ntemidir.  G\u00fcn\u00fcm\u00fczde g\u00fcvenli\u011fin olmazsa olmaz bir par\u00e7as\u0131 olan RSA,  asal say\u0131lar ve mod\u00fcler aritmetik ile  bilgilerimizi koruyarak dijital d\u00fcnyay\u0131 daha g\u00fcvenli bir yer haline getirmektedir.  Ancak,  teknolojik geli\u015fmelere paralel olarak algoritman\u0131n g\u00fcvenli\u011finin s\u00fcrekli olarak takip edilmesi ve g\u00fcncellenmesi b\u00fcy\u00fck \u00f6nem ta\u015f\u0131maktad\u0131r.<\/p>\n<p>#Etiketler: RSA, \u015fifreleme, kriptografi, asal say\u0131lar, a\u00e7\u0131k anahtarl\u0131 \u015fifreleme, matematik, g\u00fcvenlik, dijital imza, SSL\/TLS, PGP<br \/>\n<\/body><br \/>\n<\/html><\/p>\n","protected":false},"excerpt":{"rendered":"Modern \u015eifrelemenin Temeli: RSA Algoritmas\u0131 G\u00fcn\u00fcm\u00fcz dijital d\u00fcnyas\u0131nda g\u00fcvenli ileti\u015fim olmazsa olmazd\u0131r. Bu g\u00fcvenli\u011fi sa\u011flayan en \u00f6nemli teknolojilerden&hellip;","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"csco_page_header_type":"","csco_page_load_nextpost":"","csco_page_subscribe_form":"","csco_page_contact_form":"","footnotes":""},"categories":[1],"tags":[],"class_list":{"0":"post-18574","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-genel","7":"cs-entry","8":"cs-video-wrap"},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v20.5 (Yoast SEO v25.3.1) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Modern \u015eifrelemenin Temeli: RSA Algoritmas\u0131<\/title>\n<meta name=\"description\" content=\"G\u00fcn\u00fcm\u00fcz dijital d\u00fcnyas\u0131nda g\u00fcvenli ileti\u015fim olmazsa olmazd\u0131r. Bu g\u00fcvenli\u011fi sa\u011flayan en \u00f6nemli teknolojilerden biri de RSA algoritmas\u0131d\u0131r. RSA, a\u00e7\u0131k anahtarl\u0131 \u015fifreleme sistemlerinin en yayg\u0131n ve g\u00fcvenilir \u00f6rneklerinden biri olup, internet bankac\u0131l\u0131\u011f\u0131, e-posta g\u00fcvenli\u011fi ve dijital imzalar gibi bir\u00e7ok uygulamada kullan\u0131lmaktad\u0131r. 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RSA, a\u00e7\u0131k anahtarl\u0131 \u015fifreleme sistemlerinin en yayg\u0131n ve g\u00fcvenilir \u00f6rneklerinden biri olup, internet bankac\u0131l\u0131\u011f\u0131, e-posta g\u00fcvenli\u011fi ve dijital imzalar gibi bir\u00e7ok uygulamada kullan\u0131lmaktad\u0131r. 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Bu g\u00fcvenli\u011fi sa\u011flayan en \u00f6nemli teknolojilerden biri de RSA algoritmas\u0131d\u0131r. RSA, a\u00e7\u0131k anahtarl\u0131 \u015fifreleme sistemlerinin en yayg\u0131n ve g\u00fcvenilir \u00f6rneklerinden biri olup, internet bankac\u0131l\u0131\u011f\u0131, e-posta g\u00fcvenli\u011fi ve dijital imzalar gibi bir\u00e7ok uygulamada kullan\u0131lmaktad\u0131r. Peki, bu g\u00fc\u00e7l\u00fc algoritma nas\u0131l \u00e7al\u0131\u015f\u0131r?","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:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/","og_locale":"tr_TR","og_type":"article","og_title":"Modern \u015eifrelemenin Temeli: RSA Algoritmas\u0131","og_description":"G\u00fcn\u00fcm\u00fcz dijital d\u00fcnyas\u0131nda g\u00fcvenli ileti\u015fim olmazsa olmazd\u0131r. Bu g\u00fcvenli\u011fi sa\u011flayan en \u00f6nemli teknolojilerden biri de RSA algoritmas\u0131d\u0131r. RSA, a\u00e7\u0131k anahtarl\u0131 \u015fifreleme sistemlerinin en yayg\u0131n ve g\u00fcvenilir \u00f6rneklerinden biri olup, internet bankac\u0131l\u0131\u011f\u0131, e-posta g\u00fcvenli\u011fi ve dijital imzalar gibi bir\u00e7ok uygulamada kullan\u0131lmaktad\u0131r. Peki, bu g\u00fc\u00e7l\u00fc algoritma nas\u0131l \u00e7al\u0131\u015f\u0131r?","og_url":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/","og_site_name":"Kodlar\u0131n Gizemli D\u00fcnyas\u0131","article_published_time":"2025-04-19T05:00:16+00:00","author":"Fatih Soysal","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Fatih Soysal","Tahmini okuma s\u00fcresi":"3 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/#article","isPartOf":{"@id":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/"},"author":{"name":"Fatih Soysal","@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"headline":"Modern \u015eifrelemenin Temeli: RSA Algoritmas\u0131","datePublished":"2025-04-19T05:00:16+00:00","mainEntityOfPage":{"@id":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/"},"wordCount":632,"commentCount":0,"publisher":{"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"inLanguage":"tr","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/#respond"]}],"copyrightYear":"2025","copyrightHolder":{"@id":"https:\/\/fatihsoysal.com\/blog\/#organization"}},{"@type":"WebPage","@id":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/","url":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/","name":"Modern \u015eifrelemenin Temeli: RSA Algoritmas\u0131","isPartOf":{"@id":"https:\/\/fatihsoysal.com\/blog\/#website"},"datePublished":"2025-04-19T05:00:16+00:00","description":"G\u00fcn\u00fcm\u00fcz dijital d\u00fcnyas\u0131nda g\u00fcvenli ileti\u015fim olmazsa olmazd\u0131r. Bu g\u00fcvenli\u011fi sa\u011flayan en \u00f6nemli teknolojilerden biri de RSA algoritmas\u0131d\u0131r. RSA, a\u00e7\u0131k anahtarl\u0131 \u015fifreleme sistemlerinin en yayg\u0131n ve g\u00fcvenilir \u00f6rneklerinden biri olup, internet bankac\u0131l\u0131\u011f\u0131, e-posta g\u00fcvenli\u011fi ve dijital imzalar gibi bir\u00e7ok uygulamada kullan\u0131lmaktad\u0131r. Peki, bu g\u00fc\u00e7l\u00fc algoritma nas\u0131l \u00e7al\u0131\u015f\u0131r?","breadcrumb":{"@id":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/fatihsoysal.com\/blog\/modern-sifrelemenin-temeli-rsa-algoritmasi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Anasayfa","item":"https:\/\/fatihsoysal.com\/blog\/"},{"@type":"ListItem","position":2,"name":"Modern \u015eifrelemenin Temeli: RSA Algoritmas\u0131"}]},{"@type":"WebSite","@id":"https:\/\/fatihsoysal.com\/blog\/#website","url":"https:\/\/fatihsoysal.com\/blog\/","name":"Fatihsoysal.com","description":"Blog - Yaz\u0131l\u0131m D\u00fcnyas\u0131 Tecr\u00fcbelerim","publisher":{"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/fatihsoysal.com\/blog\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"tr"},{"@type":["Person","Organization"],"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/002a254750921dcfd568a99e48240dd1","name":"Fatih Soysal","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/image\/","url":"https:\/\/fatihsoysal.com\/blog\/wp-content\/uploads\/2024\/04\/cropped-replicate-prediction-3kgg1hgjn5rgp0cf0p5tr0jw7w-1.png","contentUrl":"https:\/\/fatihsoysal.com\/blog\/wp-content\/uploads\/2024\/04\/cropped-replicate-prediction-3kgg1hgjn5rgp0cf0p5tr0jw7w-1.png","width":512,"height":512,"caption":"Fatih Soysal"},"logo":{"@id":"https:\/\/fatihsoysal.com\/blog\/#\/schema\/person\/image\/"},"description":"Kullan\u0131m ve kodlama m\u00fckemmeliyetini odak alan uygulamalar olu\u015fturma deneyimine sahip, profesyonel olarak 15+ y\u0131l \u00fczeri deneyime sahip bir yaz\u0131l\u0131m m\u00fchendisi.","url":"https:\/\/fatihsoysal.com\/blog\/author\/fatihsoysal\/"}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/posts\/18574","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/comments?post=18574"}],"version-history":[{"count":0,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/posts\/18574\/revisions"}],"wp:attachment":[{"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/media?parent=18574"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/categories?post=18574"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/fatihsoysal.com\/blog\/wp-json\/wp\/v2\/tags?post=18574"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}