{"id":2209,"date":"2024-12-28T19:57:59","date_gmt":"2024-12-28T11:57:59","guid":{"rendered":"http:\/\/114.55.108.251\/?p=2209"},"modified":"2024-12-30T19:29:46","modified_gmt":"2024-12-30T11:29:46","slug":"ctf-crypto%e8%a7%a3%e9%a2%98%e5%88%86%e6%9e%90","status":"publish","type":"post","link":"https:\/\/guapicoding.com\/?p=2209","title":{"rendered":"CTF Crypto\u89e3\u9898\u5206\u6790"},"content":{"rendered":"\n<h2 class=\"wp-block-heading\">\u6b65\u9aa4<\/h2>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u6b65\u9aa4 1\uff1a\u4fe1\u606f\u63d0\u53d6<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u76ee\u6807<\/strong>\uff1a\u4ece\u9898\u76ee\u63cf\u8ff0\u6216\u6587\u4ef6\u4e2d\u63d0\u53d6\u76f8\u5173\u4fe1\u606f\uff0c\u5982\u52a0\u5bc6\u7b97\u6cd5\u3001\u5df2\u77e5\u53c2\u6570\u548c\u76ee\u6807\u3002<\/li>\n\n\n\n<li><strong>\u9002\u914d\u65b9\u5f0f<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u63d0\u53d6 <code>p<\/code> \u548c <code>q<\/code> \u7684\u90e8\u5206\u5df2\u77e5\u6570\u5b57\uff0c\u4ee5\u53ca\u6a21\u6570 n=p\u22c5qn = p \\cdot qn=p\u22c5q\u3002<\/li>\n\n\n\n<li>\u8bfb\u53d6 <code>output.txt<\/code> \u4e2d\u7684\u52a0\u5bc6\u7ed3\u679c\u3002<\/li>\n\n\n\n<li>\u8bfb\u53d6 <code>source.py<\/code> \u63d0\u4f9b\u7684\u52a0\u5bc6\u903b\u8f91\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5de5\u5177\u793a\u4f8b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><code>extract_rsa_parameters<\/code>\uff1a\u4ece\u6587\u4ef6\u4e2d\u63d0\u53d6 RSA \u53c2\u6570\u548c\u52a0\u5bc6\u6570\u636e\u3002<\/li>\n\n\n\n<li><code>parse_source_code<\/code>\uff1a\u5206\u6790\u52a0\u5bc6\u903b\u8f91\u5e76\u8bb0\u5f55\u5173\u952e\u70b9\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u6b65\u9aa4 2\uff1a\u95ee\u9898\u5efa\u6a21<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u76ee\u6807<\/strong>\uff1a\u5c06\u95ee\u9898\u5efa\u6a21\u4e3a\u4e00\u4e2a\u6570\u5b66\u89e3\u7b97\u95ee\u9898\u3002<\/li>\n\n\n\n<li><strong>\u9002\u914d\u65b9\u5f0f<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5b9a\u4e49 n=p\u22c5qn = p \\cdot qn=p\u22c5q \u548c\u90e8\u5206 p,qp, qp,q \u7684\u6570\u5b57\u7ec4\u5408\u7ea6\u675f\u3002<\/li>\n\n\n\n<li>\u7ed3\u5408\u7206\u7834\u7b97\u6cd5\uff0c\u751f\u6210\u53ef\u80fd\u7684 p,qp, qp,q \u5019\u9009\u503c\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5de5\u5177\u793a\u4f8b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><code>model_rsa_problem<\/code>\uff1a\u5c06\u90e8\u5206\u5df2\u77e5\u7684 p,qp, qp,q \u8f6c\u5316\u4e3a\u7ea6\u675f\u6c42\u89e3\u6a21\u578b\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u6b65\u9aa4 3\uff1a\u89e3\u7b97\u6838\u5fc3\u95ee\u9898<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u76ee\u6807<\/strong>\uff1a\u6062\u590d\u5b8c\u6574\u7684 p,qp, qp,q\u3002<\/li>\n\n\n\n<li><strong>\u9002\u914d\u65b9\u5f0f<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u57fa\u4e8e\u90e8\u5206\u5df2\u77e5\u6570\u5b57\u548c nnn\uff0c\u66b4\u529b\u679a\u4e3e\u53ef\u80fd\u7684 p,qp, qp,q\u3002<\/li>\n\n\n\n<li>\u9a8c\u8bc1 p\u22c5q=np \\cdot q = np\u22c5q=n \u662f\u5426\u6210\u7acb\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5de5\u5177\u793a\u4f8b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><code>solve_rsa_primes<\/code>\uff1a\u4f7f\u7528\u7ea6\u675f\u6c42\u89e3\u5e93\uff08\u5982 <code>z3<\/code> \u6216 <code>sympy<\/code>\uff09\u6062\u590d p,qp, qp,q\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u6b65\u9aa4 4\uff1a\u7ed3\u6784\u590d\u539f<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u76ee\u6807<\/strong>\uff1a\u901a\u8fc7\u5b8c\u6574\u7684 p,qp, qp,q \u8ba1\u7b97\u79c1\u94a5 ddd\u3002<\/li>\n\n\n\n<li><strong>\u9002\u914d\u65b9\u5f0f<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u8ba1\u7b97 \u03d5(n)=(p\u22121)(q\u22121)\\phi(n) = (p-1)(q-1)\u03d5(n)=(p\u22121)(q\u22121)\u3002<\/li>\n\n\n\n<li>\u901a\u8fc7 e\u22c5d\u22611mod\u2009\u2009\u03d5(n)e \\cdot d \\equiv 1 \\mod \\phi(n)e\u22c5d\u22611mod\u03d5(n) \u8ba1\u7b97\u79c1\u94a5\u6307\u6570 ddd\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5de5\u5177\u793a\u4f8b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><code>reconstruct_private_key<\/code>\uff1a\u7528 RSA \u6570\u5b66\u516c\u5f0f\u751f\u6210\u79c1\u94a5\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h4 class=\"wp-block-heading\"><strong>\u6b65\u9aa4 5\uff1a\u9a8c\u8bc1\u5e76\u5b8c\u6210\u4efb\u52a1<\/strong><\/h4>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u76ee\u6807<\/strong>\uff1a\u4f7f\u7528\u79c1\u94a5\u89e3\u5bc6\u5bc6\u6587\u5e76\u627e\u5230 Flag\u3002<\/li>\n\n\n\n<li><strong>\u9002\u914d\u65b9\u5f0f<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u4f7f\u7528 RSA \u5e93\uff08\u5982 <code>Crypto.PublicKey.RSA<\/code> \u548c <code>Crypto.Cipher.PKCS1_OAEP<\/code>\uff09\u89e3\u5bc6\u5bc6\u6587\u3002<\/li>\n\n\n\n<li>\u9a8c\u8bc1\u89e3\u5bc6\u7ed3\u679c\u662f\u5426\u5305\u542b\u76ee\u6807 Flag\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5de5\u5177\u793a\u4f8b<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><code>decrypt_rsa_flag<\/code>\uff1a\u52a0\u8f7d\u79c1\u94a5\u5e76\u89e3\u5bc6\u5bc6\u6587\u3002<\/li>\n\n\n\n<li><code>verify_flag<\/code>\uff1a\u68c0\u67e5\u89e3\u5bc6\u7ed3\u679c\u662f\u5426\u7b26\u5408 Flag \u683c\u5f0f\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading\">[Very Easy] Dynastic\u2705        <\/h2>\n\n\n\n<p>\u7ed9\u5b9a\u7531\u52a0\u5bc6\u4ee3\u7801\u8f93\u51fa\u7684\u6587\u672c\uff0c\u6839\u636e\u4ee3\u7801\u5012\u63a8\u6587\u672c\u5f97\u5230flag<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">[Very Easy] Primary Knowledge\u2705<\/h2>\n\n\n\n<p>\u5229\u7528\u4e86\u4e00\u4e2a\u7279\u6b8a\u7684RSA\u751f\u6210\u8fc7\u7a0b\uff0c\u5176\u4e2dn\u662f\u5355\u4e2a\u5927\u7d20\u6570\uff0c\u800c\u975e\u901a\u5e38\u7684\u4e24\u4e2a\u7d20\u6570\u7684\u4e58\u79ef\uff0c\u8fd9\u4f7f\u5f97\u89e3\u5bc6\u53ea\u9700\u8981\u8ba1\u7b97\u6a21\u53cd\u8fd0\u7b97\u5373\u53ef<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">[Medium] Partial Tenacity\u274c<\/h2>\n\n\n\n<p>\u6062\u590dp\u548cq\u540e\uff0c\u6839\u636e\u516c\u5f0f\u8ba1\u7b97\u79c1\u94a5d\uff0c\u7136\u540e\u89e3\u5bc6\u5bc6\u6587ct\uff0c\u6700\u540e\u590d\u539fflag<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">[Hard] Permuted\u274c<\/h2>\n\n\n\n<p>\u89e3\u51b3\u8fd9\u4e00\u6311\u6218\u7684\u5173\u952e\u662f\u7406\u89e3\u548c\u5229\u7528\u7f6e\u6362\u7fa4\u7684\u6027\u8d28\uff0c\u7279\u522b\u662f\u8fd9\u4e9b\u7fa4\u4e2d\u7684\u79bb\u6563\u5bf9\u6570\u95ee\u9898\uff08DLP\uff09\u7684\u5e94\u7528<\/p>\n\n\n\n<p>\u89e3\u51b3\u65b9\u6848\u5305\u62ec\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u9996\u5148\u6839\u636e\u7ed9\u5b9a\u7684\u8f93\u51fa\u91cd\u6784\u7f6e\u6362g\u3001A\u3001B\uff0c\u7136\u540e\u91c7\u7528\u57fa\u4e8e\u7f6e\u6362\u7fa4DLP\u7684\u5bc6\u7801\u5b66\u653b\u51fb\u7b56\u7565\u6765\u89e3\u5bc6\u6807\u5fd7\u4f4d\u3002\u8fd9\u6d89\u53ca\u5230\u5c06\u6392\u5217\u5206\u89e3\u4e3a\u4e0d\u76f8\u4ea4\u7684\u73af\uff0c\u5e76\u4f7f\u7528\u8fd9\u4e9b\u73af\u4f7f\u7528\u4e2d\u56fd\u5269\u4f59\u5b9a\u7406\u6765\u8ba1\u7b97\u6307\u6570\u3002<\/li>\n\n\n\n<li>\u7136\u540e\uff0c\u4f7f\u7528\u786e\u5b9a\u7684\u6307\u6570a\u8ba1\u7b97\u5e76\u9a8c\u8bc1\u7528\u4e8e\u751f\u6210AES\u52a0\u5bc6\u5bc6\u94a5\u7684\u5171\u4eab\u5bc6\u94a5\u3002<\/li>\n\n\n\n<li>\u6700\u540e\uff0c\u4f7f\u7528\u5bfc\u51fa\u7684\u5bc6\u94a5\u89e3\u5bc6aes\u52a0\u5bc6\u7684\u6d88\u606f\uff0c\u4ee5\u63ed\u793a\u9690\u85cf\u7684\u6807\u5fd7<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\">skilift\u2705<\/h2>\n\n\n\n<p>\u8fd9\u4e2a\u6280\u5de7\u6311\u6218\u662f\u7531\u4e00\u4e2a\u52a0\u5bc6\u5bc6\u94a5\u9501\u5b9a\u7684\uff0c\u5305\u62ec\u4e00\u4e2a\u786c\u4ef6\u63cf\u8ff0\u8bed\u8a00\u6587\u4ef6\uff0c\u6697\u793a\u4e86\u5bc6\u94a5\u751f\u6210\u8fc7\u7a0b\u6d89\u53ca\u4f4d\u64cd\u4f5c\u548c<br>\u5bf9\u5341\u516d\u8fdb\u5236\u503c\u8fdb\u884c\u7b97\u672f\u8ba1\u7b97\u3002\u901a\u8fc7\u5bf9\u8fd9\u4e9b\u64cd\u4f5c\u8fdb\u884c\u9006\u5411\u5de5\u7a0b\uff0c\u6211\u4eec\u53ef\u4ee5\u505a\u5230\u53d6\u56de\u94a5\u5319\uff0c\u6253\u5f00\u6280\u80fd\uff0c\u63ed\u793a\u65d7\u5e1c<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6b65\u9aa4 \u6b65\u9aa4 1\uff1a\u4fe1\u606f\u63d0\u53d6 \u6b65\u9aa4 2\uff1a\u95ee\u9898\u5efa\u6a21 \u6b65\u9aa4 3\uff1a\u89e3\u7b97\u6838\u5fc3\u95ee\u9898 \u6b65\u9aa4 4\uff1a\u7ed3\u6784\u590d\u539f \u6b65\u9aa4 5\uff1a\u9a8c\u8bc1\u5e76\u5b8c\u6210 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[74,73,75],"class_list":["post-2209","post","type-post","status-publish","format-standard","hentry","category-keyan","tag-cryptography","tag-ctf","tag-llm"],"_links":{"self":[{"href":"https:\/\/guapicoding.com\/index.php?rest_route=\/wp\/v2\/posts\/2209","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/guapicoding.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/guapicoding.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/guapicoding.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/guapicoding.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2209"}],"version-history":[{"count":3,"href":"https:\/\/guapicoding.com\/index.php?rest_route=\/wp\/v2\/posts\/2209\/revisions"}],"predecessor-version":[{"id":2214,"href":"https:\/\/guapicoding.com\/index.php?rest_route=\/wp\/v2\/posts\/2209\/revisions\/2214"}],"wp:attachment":[{"href":"https:\/\/guapicoding.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2209"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/guapicoding.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2209"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/guapicoding.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2209"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}