{"id":45715,"date":"2022-03-15T15:36:44","date_gmt":"2022-03-15T15:36:44","guid":{"rendered":"https:\/\/packetstormsecurity.com\/news\/view\/33213\/Researcher-Uses-379-Year-Old-Algorithm-To-Crack-Crypto-Keys.html"},"modified":"2022-03-15T15:36:44","modified_gmt":"2022-03-15T15:36:44","slug":"researcher-uses-379-year-old-algorithm-to-crack-crypto-keys","status":"publish","type":"post","link":"https:\/\/www.threatshub.org\/blog\/researcher-uses-379-year-old-algorithm-to-crack-crypto-keys\/","title":{"rendered":"Researcher Uses 379-Year-Old Algorithm To Crack Crypto Keys"},"content":{"rendered":"<figure class=\"intro-image intro-left\"> <img decoding=\"async\" src=\"https:\/\/cdn.arstechnica.net\/wp-content\/uploads\/2022\/03\/crypto-key-800x450.jpeg\" alt=\"Stylized illustration of key.\"><figcaption class=\"caption\"><\/figcaption><\/figure>\n<aside id=\"social-left\" class=\"social-left\" aria-label=\"Read the comments or share this article\"> <a title=\"49 posters participating, including story author\" class=\"comment-count icon-comment-bubble-down\" href=\"https:\/\/arstechnica.com\/information-technology\/2022\/03\/researcher-uses-600-year-old-algorithm-to-crack-crypto-keys-found-in-the-wild\/?comments=1\"> <\/p>\n<h4 class=\"comment-count-before\">reader comments<\/h4>\n<p> <span class=\"comment-count-number\">79<\/span> <span class=\"visually-hidden\"> with 49 posters participating, including story author<\/span> <\/a> <\/p>\n<div class=\"share-links\">\n<h4>Share this story<\/h4>\n<\/p><\/div>\n<\/aside>\n<p> <!-- cache hit 1129:single\/related:b1c9242e6510231e3fcff2fb9a0ef8b7 --><!-- empty --><\/p>\n<p>Cryptographic keys generated with older software now owned by technology company Rambus are weak enough to be broken instantly using commodity hardware, a researcher reported on Monday. This revelation is part of an investigation that also uncovered a handful of weak keys in the wild.<\/p>\n<p>The software comes from a basic version of the SafeZone Crypto Libraries, which were developed by a company called Inside Secure and acquired by Rambus as part of its <a href=\"https:\/\/www.rambus.com\/rambus-completes-acquisition-of-the-verimatrix-silicon-ip-secure-protocols-and-provisioning-business\/\">2019 acquisition<\/a> of Verimatrix, a Rambus representative said. That version was deprecated prior to the acquisition and is distinct from a FIPS-certified version that the company now sells under the Rambus FIPS Security Toolkit brand.<\/p>\n<h2>Mind your Ps and Qs<\/h2>\n<p>Researcher <a href=\"https:\/\/hboeck.de\/\">Hanno B\u00f6ck<\/a> said that the vulnerable SafeZone library doesn&#8217;t sufficiently randomize the two prime numbers it used to generate RSA keys. (These keys can be used to secure Web traffic, shells, and other online connections.) Instead, after the SafeZone tool selects one prime number, it chooses a prime in close proximity as the second one needed to form the key.<\/p>\n<p>&#8220;The problem is that both primes are too similar,&#8221; B\u00f6ck said in an interview. &#8220;So the difference between the two primes is really small.&#8221; The SafeZone vulnerability is tracked as CVE-2022-26320.<\/p>\n<p>Cryptographers have long known that RSA keys that are generated with primes that are too close together can be trivially broken with <a href=\"https:\/\/en.wikipedia.org\/wiki\/Fermat%27s_factorization_method\">Fermat&#8217;s factorization method<\/a>. French mathematician Pierre de Fermat <a href=\"https:\/\/madhavamathcompetition.com\/tag\/fermats-factorization-method\/\">first described this method in 1643<\/a>.<\/p>\n<p>Fermat&#8217;s algorithm was based on the fact that any odd number can be expressed as the difference between two squares. When the factors are near the root of the number, they can be calculated easily and quickly. The method isn&#8217;t feasible when factors are truly random and hence far apart.<\/p>\n<aside class=\"ad_wrapper\" aria-label=\"In Content advertisement\"> <span class=\"ad_notice\">Advertisement <\/span> <\/aside>\n<p> The security of RSA keys depends on the difficulty of factoring a key&#8217;s large composite number (usually denoted as N) to derive its two factors (usually denoted as P and Q). When P and Q are known publicly, the key they make up is broken, meaning anyone can decrypt data protected by the key or use the key to authenticate messages.<\/p>\n<p>So far, B\u00f6ck has identified only a handful of keys in the wild that are vulnerable to the factorization attack. Some of the keys are from printers from two manufacturers, Canon and Fujifilm (originally branded as Fuji Xerox).Printer users can use the keys to generate a Certificate Signing Request. The creation date for the all the weak keys was 2020 or later. The weak Canon keys are tracked as CVE-2022-26351.<\/p>\n<p>B\u00f6ck also found four vulnerable PGP keys, typically used to encrypt email, on SKS PGP key servers. A user ID tied to the keys implied they were created for testing, so he doesn&#8217;t believe they&#8217;re in active use.<\/p>\n<p>B\u00f6ck said he believes all the keys he found were generated using software or methods not connected to the SafeZone library. If true, other software that generates keys might be easily broken using the Fermat algorithm. It&#8217;s plausible that the keys were generated manually, &#8220;possibly by people aware of this attack creating test data,&#8221;&nbsp;B\u00f6ck said.<\/p>\n<p>The researcher found the keys by searching through billions of public keys that he had access to. He also looked at keys that were shared with him by other researchers and keys that were available through certificate transparency programs.<\/p>\n<p> READ MORE <a href=\"https:\/\/packetstormsecurity.com\/news\/view\/33213\/Researcher-Uses-379-Year-Old-Algorithm-To-Crack-Crypto-Keys.html\">HERE<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>READ MORE HERE&#8230;<\/p>\n","protected":false},"author":2,"featured_media":45716,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"colormag_page_layout":"default_layout","footnotes":""},"categories":[277],"tags":[9907],"class_list":["post-45715","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-cybersecurity-blogs","tag-headlinehackerflawsciencecryptography"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Researcher Uses 379-Year-Old Algorithm To 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