{"id":2505,"date":"2025-11-13T18:33:00","date_gmt":"2025-11-13T10:33:00","guid":{"rendered":"https:\/\/pjq.me\/?p=2505"},"modified":"2025-11-17T14:47:09","modified_gmt":"2025-11-17T06:47:09","slug":"%e5%af%86%e7%a0%81%e5%ad%a6cryptography%e7%ae%80%e5%8f%b2-%e5%90%8e%e9%87%8f%e5%ad%90%e8%ae%a1%e7%ae%97%e6%9c%ba%e6%97%b6%e4%bb%a3%e5%8a%a0%e5%af%86%e7%ae%97%e6%b3%95","status":"publish","type":"post","link":"https:\/\/pjq.me\/?p=2505","title":{"rendered":"\u5bc6\u7801\u5b66(Cryptography)\u7b80\u53f2&#8211;\u540e\u91cf\u5b50\u8ba1\u7b97\u673a\u65f6\u4ee3\u4f60\u7684\u6570\u636e\u8fd8\u5b89\u5168\u5417"},"content":{"rendered":"\n<p>\u6700\u8fd1\u53ef\u80fd\u5927\u5bb6\u4e5f\u770b\u5230\u4e86\u4e00\u4e9b\u5173\u4e8e\u91cf\u5b50\u8ba1\u7b97\u673a\u8fdb\u5c55\u7684\u65b0\u95fb\uff0c\u6bd4\u5982Google \u63a8\u51fa\u300c\u91cf\u5b50\u8ff4\u8072\u300d\u7b97\u6cd5\uff0c\u91cf\u5b50\u8ba1\u7b97\u673a\u5b9e\u9645\u5e94\u7528\u91cc\u7a0b\u7891<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>https:\/\/blog.google\/intl\/zh-tw\/company-news\/technology\/quantum-echoes-willow-verifiable-quantum-advantage\/<\/li>\n<\/ul>\n\n\n\n<p>\u5f53\u770b\u5230\u8fd9\u4e9b\u65b0\u95fb\u7684\u65f6\u5019\uff0c\u4f60\u662f\u5426\u5fc3\u91cc\u518d\u60f3\u771f\u5389\u5bb3\uff0c\u91cf\u5b50\u8ba1\u7b97\u673a\u80fd\u591f\u5b9e\u73b0\u6307\u6570\u7ea7\u7684\u8fd0\u7b97\u901f\u5ea6\u7684\u63d0\u5347\u3002<\/p>\n\n\n\n<p>\u6240\u4ee5\u5462\uff0c\u4eba\u7c7b\u6700\u8fd1\u4e00\u76f4\u5728\u60f3\u529e\u6cd5\u89e3\u51b3\u91cf\u5b50\u8ba1\u7b97\u673a\u53d1\u5c55\u5bf9\u52a0\u5bc6\u7b97\u6cd5\u7684\u5a01\u80c1\u3002<\/p>\n\n\n\n<p>\u4f46\u91cf\u5b50\u8ba1\u7b97\u673a\u5bf9\u54ea\u4e9b\u52a0\u5bc6\u7b97\u6cd5\u6709\u5a01\u80c1\u5462\uff1f\u4f30\u8ba1\u6ca1\u6709\u591a\u5c11\u4eba\u80fd\u8bf4\u7684\u6e05\u695a\u3002<\/p>\n\n\n\n<p>\u9996\u5148\u6211\u4eec\u8981\u77e5\u9053\u91cf\u5b50\u8ba1\u7b97\u673a\u548c\u4f20\u7edf\u8ba1\u7b97\u673a\u4e0d\u4e00\u6837\uff0c\u8ba1\u7b97\u901f\u5ea6\u80fd\u591f\u6307\u6570\u7ea7\u63d0\u5347\uff0c\u90a3\u5bf9\u4e8e\u7834\u89e3\u6211\u4eec\u73b0\u5728\u7684\u52a0\u5bc6\u7b97\u6cd5\uff0c\u662f\u5426\u4e5f\u80fd\u6307\u6570\u7ea7\u63d0\u5347\uff1f<\/p>\n\n\n\n<p>\u8981\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u8981\u4e00\u6b65\u6b65\u5c55\u5f00\u8bb2\u3002<\/p>\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_81 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/pjq.me\/?p=2505\/#%E5%AF%B9%E7%A7%B0%E5%8A%A0%E5%AF%86%E5%92%8C%E9%9D%9E%E5%AF%B9%E7%A7%B0%E5%8A%A0%E5%AF%86\" >\u5bf9\u79f0\u52a0\u5bc6\u548c\u975e\u5bf9\u79f0\u52a0\u5bc6<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/pjq.me\/?p=2505\/#Shor%E7%AE%97%E6%B3%95\" >Shor\u7b97\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/pjq.me\/?p=2505\/#Grover%E7%AE%97%E6%B3%95\" >Grover\u7b97\u6cd5<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/pjq.me\/?p=2505\/#%E5%90%8E%E9%87%8F%E5%AD%90%E8%AE%A1%E7%AE%97%E6%9C%BA%E6%97%B6%E4%BB%A3PQC\" >\u540e\u91cf\u5b50\u8ba1\u7b97\u673a\u65f6\u4ee3(PQC)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/pjq.me\/?p=2505\/#%E6%88%91%E4%BB%AC%E5%8F%AF%E4%BB%A5%E5%81%9A%E4%BB%80%E4%B9%88%E5%91%A2\" >\u6211\u4eec\u53ef\u4ee5\u505a\u4ec0\u4e48\u5462<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%AF%B9%E7%A7%B0%E5%8A%A0%E5%AF%86%E5%92%8C%E9%9D%9E%E5%AF%B9%E7%A7%B0%E5%8A%A0%E5%AF%86\"><\/span>\u5bf9\u79f0\u52a0\u5bc6\u548c\u975e\u5bf9\u79f0\u52a0\u5bc6<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u6211\u4eec\u5148\u8981\u6709\u4e2a\u6982\u5ff5\uff0c\u6211\u4eec\u52a0\u5bc6\u7b97\u6cd5\u4e00\u822c\u5206\u4e3a\u5bf9\u79f0\u52a0\u5bc6\u548c\u975e\u5bf9\u79f0\u52a0\u5bc6\uff0c\u4f7f\u7528\u7684\u539f\u7406\u4e0d\u4e00\u6837\uff0c\u5177\u4f53\u64cd\u4f5c\u8fc7\u7a0b\u5148\u653e\u5230\u4e00\u8fb9\u3002<\/p>\n\n\n\n<p>\u5bf9\u79f0\u52a0\u5bc6\uff0c\u6bd4\u5982AES\uff0c\u57fa\u4e8e\u5404\u79cd\u66ff\u6362\u8f6c\u6362\u64cd\u4f5c(SPN)<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>AES &#8211; ECB<\/li>\n\n\n\n<li>AES &#8211; CBC<\/li>\n\n\n\n<li>AES &#8211; CTR<\/li>\n\n\n\n<li>AES &#8211; GCM<\/li>\n<\/ul>\n\n\n\n<p>\u975e\u5bf9\u79f0\u52a0\u5bc6\uff0c\u6bd4\u5982<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>RSA\uff0c \u6570\u5b66\u539f\u7406\u57fa\u4e8e\u5927\u6574\u6570\u7684\u56e0\u5f0f\u5206\u89e3<\/li>\n\n\n\n<li>DH\uff0c\u57fa\u4e8e\u79bb\u6563\u5bf9\u6570\u96be\u89e3\u95ee\u9898(DLP)<\/li>\n\n\n\n<li>ECC\uff0c\u57fa\u4e8e\u692d\u5706\u66f2\u7ebf\u96be\u89e3\u95ee\u9898<\/li>\n<\/ul>\n\n\n\n<p>\u6240\u4ee5\u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5\u57fa\u672c\u90fd\u662f\u57fa\u4e8e\u4e00\u4e9b\u96be\u89e3\u7684\u6570\u5b66\u95ee\u9898\uff0c\u800c\u521a\u597d\u8fd9\u4e9b\u95ee\u9898\u6709\u53ef\u80fd\u88ab\u67d0\u4e9b\u91cf\u5b50\u8ba1\u7b97\u673a\u7b97\u6cd5\u7834\u89e3\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Shor%E7%AE%97%E6%B3%95\"><\/span>Shor\u7b97\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Shor\u7b97\u6cd5\uff0c\u8be6\u89c1\u7ef4\u65af\u767e\u79d1\uff0c1994\u5e74\u53d1\u660e<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>https:\/\/en.wikipedia.org\/wiki\/Shor%27s_algorithm<\/li>\n<\/ul>\n\n\n\n<p>\u6211\u4eec\u90fd\u8bf4\u91cf\u5b50\u8ba1\u7b97\u673a\u5bf9\u52a0\u5bc6\u7b97\u6cd5\u6709\u5a01\u80c1\uff0c\u8fd9\u4e2a\u5a01\u80c1\u5176\u5b9e\u5c31\u662f\u6765\u81ea\u4e8eShor\u7b97\u6cd5\u3002<\/p>\n\n\n\n<p>\u5177\u4f53\u7684\u7b97\u8fc7\u7a0b\u6211\u4e5f\u770b\u4e0d\u61c2\uff0c\u4f46\u7b80\u5355\u6765\u8bf4\u8fd9\u4e2a\u7b97\u6cd5\u53ef\u4ee5\u5728\u91cf\u5b50\u8ba1\u7b97\u673a\u4e0a\u5feb\u901f\u8ba1\u7b97\u5927\u6574\u6570\u7684\u56e0\u5f0f\u5206\u89e3\uff0c\u4e5f\u5c31\u662fRSA\u57fa\u4e8e\u7684\u4e24\u4e2a\u5927\u6574\u6570(\u8d28\u6570)p, q\u76f8\u4e58\u5f97\u5230N = p * q, \u5f53\u77e5\u9053N\u7684\u60c5\u51b5\u4e0b\u65e0\u6cd5\u63a8\u5bfc\u51fap, q\u3002<\/p>\n\n\n\n<p>\u6240\u4ee5\u6211\u4eec\u5bf9\u7167\u4e0a\u9762\u7684\u5bc6\u7801\u5b66\u4e2d\u7684\u975e\u5bf9\u79f0\u52a0\u5bc6\uff0c\u5c31\u80fd\u77e5\u9053\uff0cShor\u7b97\u6cd5\u5bf9\u4e8e\u975e\u5bf9\u79f0\u52a0\u5bc6\u6709\u5f88\u5927\u7684\u5371\u9669\uff0c\u800c\u5bf9\u4e8e\u5bf9\u79f0\u52a0\u5bc6\u5a01\u80c1\u5e76\u6ca1\u6709\u90a3\u4e48\u5927\uff0c\u6240\u4ee5AES\u8fd8\u662f\u5b89\u5168\u7684\u3002<\/p>\n\n\n\n<p>\u56e0\u6b64\u975e\u5bf9\u79f0\u52a0\u5bc6\u7684\u8fd9\u4e9b\u7b97\u6cd5\uff0cRSA, DH, ECC\uff0c\u5728Shor\u7b97\u6cd5\u4e0b\u5904\u4e8e\u5f88\u5371\u9669\u7684\u5730\u6b65\uff0c\u9700\u8981\u6362\u6389\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Grover%E7%AE%97%E6%B3%95\"><\/span>Grover\u7b97\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Grover\u7b97\u6cd5\u4e5f\u662f\u4e00\u79cd\u91cf\u5b50\u8ba1\u7b97\u7684\u7b97\u6cd5\uff0c1996\u5e74\u53d1\u660e\uff0c\u5b83\u786e\u5b9e\u5bf9\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5AES\u9020\u6210\u4e86\u5a01\u80c1\u3002<\/p>\n\n\n\n<p>\u5a01\u80c1\u7684\u539f\u56e0\u662f\u5b83\u53ef\u4ee5\u5bfc\u81f4AES\u7684\u5bc6\u94a5\u957f\u5ea6\u6709\u6548\u6027\u51cf\u534a\uff0c\u6211\u4eec\u77e5\u9053AES\u67093\u79cd\u957f\u5ea6\u7684\u5bc6\u94a5<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>AES &#8211; 128<\/li>\n\n\n\n<li>AES &#8211; 192<\/li>\n\n\n\n<li>AES &#8211; 256<\/li>\n<\/ul>\n\n\n\n<p>\u6240\u4ee5\u7528\u4e0aGrover\u7b97\u6cd5\u540e\uff0c\u5b83\u7684\u957f\u5ea6\u6709\u6548\u6027\u4f1a\u53d8\u4e3a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>2^128 -&gt; 2^64\uff0c\u964d\u4e3a64\u4f4d\u5b89\u5168<\/li>\n\n\n\n<li>2^192 -&gt; 2^96 \uff0c\u4ecd\u7136\u5b89\u5168<\/li>\n\n\n\n<li>2^256 -&gt; 2^128\uff0c\u975e\u5e38\u5b89\u5168<\/li>\n<\/ul>\n\n\n\n<p>\u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u867d\u7136\u6709\u91cf\u5b50\u8ba1\u7b97\u673a+Grover\u7b97\u6cd5\u7684\u52a0\u6301\uff0c\u76ee\u524dAES-192\uff0c  AES-256\u4ecd\u7136\u662f\u5f88\u5b89\u5168\u7684\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E5%90%8E%E9%87%8F%E5%AD%90%E8%AE%A1%E7%AE%97%E6%9C%BA%E6%97%B6%E4%BB%A3PQC\"><\/span>\u540e\u91cf\u5b50\u8ba1\u7b97\u673a\u65f6\u4ee3(PQC)<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u540e\u91cf\u5b50\u8ba1\u7b97\u673a\u65f6\u4ee3\u52a0\u5bc6\u7b97\u6cd5(Post Quantum Cryptography=PQC), \u57fa\u4e8e\u4e0a\u9762\u8fd9\u4e9b\u91cf\u5b50\u7b97\u6cd5\u7684\u5371\u9669\u5e94\u8fd0\u800c\u751f\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>https:\/\/csrc.nist.gov\/projects\/post-quantum-cryptography<\/li>\n<\/ul>\n\n\n\n<p>\u6240\u4ee5\u7f8e\u56fdNIST\u57282017\u5e74\u53d1\u8d77\u5168\u7403\u6311\u6218\uff0c\u5728\u5168\u7403\u8303\u56f4\u5185\u5f81\u96c6PQC\u65f6\u4ee3\u52a0\u5bc6\u7b97\u6cd5\uff0c\u7ecf\u8fc7\u591a\u8f6e\u6bd4\u62fc\uff0c\u6700\u7ec8\u5728\u4eca\u5e742025\u5e743\u670811\u65e5\u9009\u5b9a\u4e86PQC\u65f6\u4ee3\u52a0\u5bc6\u7b97\u6cd5\u3002<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><em><strong>HQC was selected for standardization on March 11, 2025. NIST IR 8545,&nbsp;<a href=\"https:\/\/csrc.nist.gov\/pubs\/ir\/8545\/final\">Status Report on the Fourth Round of the NIST Post-Quantum Cryptography Standardization Process<\/a>&nbsp;is now available.<\/strong><\/em><\/p>\n\n\n\n<p><a href=\"https:\/\/csrc.nist.gov\/publications\/fips\"><strong><em>FIPS 203, FIPS 204 and FIPS 205<\/em><\/strong><\/a><strong><em>, which specify algorithms derived from CRYSTALS-Dilithium, CRYSTALS-KYBER and SPHINCS<sup>+<\/sup>, were&nbsp;<\/em><\/strong><strong><em>published August 13, 2024<\/em><\/strong><strong><em>.&nbsp;<\/em><\/strong><\/p>\n<\/blockquote>\n\n\n\n<p>\u76ee\u524d\u4e00\u4e9b\u5927\u516c\u53f8\u5df2\u7ecf\u5f00\u59cb\u5728\u4f7f\u7528\u8fd9\u4e9b\u6297\u91cf\u5b50\u673a\u7684\u52a0\u5bc6\u7b97\u6cd5\u4e86\u3002<\/p>\n\n\n\n<p>\u6240\u4ee5PQC\u65f6\u4ee3\u7684\u8fd9\u4e9b\u52a0\u5bc6\u7b97\u6cd5\uff0c\u4e3b\u8981\u662f\u7528\u6765\u89e3\u51b3\u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5\u6613\u88ab\u91cf\u5b50\u8ba1\u7b97\u673a\u7834\u89e3\u7684\u95ee\u9898\uff0c\u6bd4\u5982\u975e\u5bf9\u79f0\u52a0\u5bc6\u7ecf\u5e38\u7528\u5230\u7684\u662f\u5bc6\u94a5\u534f\u5546(DH), \u6570\u5b57\u7b7e\u540d(RSA)\uff0c\u8fd8\u6709ECC\u7b49\u5c31\u9700\u8981\u7528\u8fd9\u4e9b\u65b0\u7684\u7b97\u6cd5\u8fdb\u884c\u66ff\u6362\u3002<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><tbody><tr><th>\u7b97\u6cd5\u540d\u79f0 (\u66fe\u7528\u540d)&nbsp;<\/th><th>\u6807\u51c6\u53f7<\/th><th>\u89e3\u51b3\u7684\u4e3b\u8981\u95ee\u9898<\/th><th>\u7b97\u6cd5\u57fa\u7840<\/th><\/tr><tr><td><strong>ML-KEM<\/strong>&nbsp;(CRYSTALS-Kyber)<\/td><td>FIPS 203<\/td><td><strong>\u901a\u7528\u52a0\u5bc6\/\u5bc6\u94a5\u534f\u5546<\/strong>\uff1a\u4fdd\u62a4\u7f51\u7edc\u6d41\u91cf\u548c\u5b58\u50a8\u6570\u636e\u7684\u673a\u5bc6\u6027\u3002<\/td><td>\u57fa\u4e8e\u683c\uff08Lattice-based\uff09<\/td><\/tr><tr><td><strong>ML-DSA<\/strong>&nbsp;(CRYSTALS-Dilithium)<\/td><td>FIPS 204<\/td><td><strong>\u6570\u5b57\u7b7e\u540d<\/strong>\uff1a\u7528\u4e8e\u8eab\u4efd\u9a8c\u8bc1\u548c\u786e\u4fdd\u6570\u636e\u5b8c\u6574\u6027\uff08\u4f8b\u5982\u8fdc\u7a0b\u7b7e\u7f72\u6587\u4ef6\uff09\u3002<\/td><td>\u57fa\u4e8e\u683c\uff08Lattice-based\uff09<\/td><\/tr><tr><td><strong>SLH-DSA<\/strong>&nbsp;(SPHINCS+)<\/td><td>FIPS 205<\/td><td><strong>\u6570\u5b57\u7b7e\u540d<\/strong>\uff1a\u63d0\u4f9b\u57fa\u4e8e\u54c8\u5e0c\u51fd\u6570\u7684\u5907\u9009\u65b9\u6848\uff0c\u4f5c\u4e3a\u57fa\u4e8e\u683c\u7684\u6570\u5b57\u7b7e\u540d\u7684\u8865\u5145\u5907\u4efd\u3002<\/td><td>\u57fa\u4e8e\u54c8\u5e0c\uff08Hash-based\uff09<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>\u603b\u7ed3\u5c31\u662f\u57fa\u4e8e\u8fd9\u4e9b\u6570\u5b66\u96be\u89e3\u95ee\u9898\u53d1\u660e\u7684\u7b97\u6cd5\u9700\u8981\u8fdb\u884c\u66f4\u65b0\u66ff\u6362\uff0c\u800c\u5bf9\u79f0\u52a0\u5bc6AES\uff0c\u56e0\u4e3a\u52a0\u5bc6\u8fc7\u7a0b\u662f\u7ecf\u5e38\u5404\u79cd\u8f6c\u6362\u64cd\u4f5c\u53cd\u800c\u6ca1\u6709\u53d7\u5230\u592a\u591a\u5f71\u54cd\uff0c\u5c31\u611f\u89c9\u5f88\u795e\u5947\u3002<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%E6%88%91%E4%BB%AC%E5%8F%AF%E4%BB%A5%E5%81%9A%E4%BB%80%E4%B9%88%E5%91%A2\"><\/span>\u6211\u4eec\u53ef\u4ee5\u505a\u4ec0\u4e48\u5462<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>\u5176\u5b9e\u5bf9\u6211\u4eec\u666e\u901a\u4eba\u6765\u8bf4\uff0c\u5728\u540e\u91cf\u5b50\u8ba1\u7b97\u673a\u65f6\u4ee3\uff0c\u6211\u4eec\u53ea\u8981\u8ddf\u7740\u5927\u4f6c\u5c31\u884c\uff0c\u5927\u4f6c\u8bf4\u9700\u8981\u66f4\u65b0\u7b97\u6cd5\u4e86\u5c31\u53bb\u66f4\u65b0\u597d\u4e86\uff0c\u5bc6\u7801\u957f\u5ea6\u957f\u4e00\u4e9b\u590d\u6742\u4e00\u4e9b\uff0c\u8ba9\u7206\u7834\u96be\u5ea6\u589e\u52a0\u4e00\u4e9b\u3002<\/p>\n\n\n\n<p>\u4e4b\u524d\u56fd\u5185\u6709\u79d1\u5b66\u5bb6\u8bf4\u53ef\u4ee5\u7834\u89e3RSA\uff0c\u8fd9\u91cc\u662f\u6709\u4e00\u4e2a\u9650\u5236\u7684\uff0c\u5c31\u662fRSA\u6574\u6570\u957f\u5ea6\uff0c\u6211\u4eec\u73b0\u5728\u7684RSA\u957f\u5ea6\u90fd\u662f\u9700\u89811024\u53ca\u4ee5\u4e0a\uff0c\u800c\u4e0a\u6d77\u5927\u5b66\u7834\u89e3\u7684\u53ea\u662f50\u4f4d\u7684\u3002<\/p>\n\n\n\n<p>\u91cf\u5b50\u8ba1\u7b97\u673a\u91cc\u9762\u6709\u4e2a\u6982\u5ff5\u53eb\u7269\u7406\u91cf\u5b50\u6bd4\u7279(Physical Qubits), \u8fd9\u4e2a\u6570\u91cf\u957f\u5ea6\u8d8a\u591a\uff0c\u8bf4\u660e\u8ba1\u7b97\u673a\u8d8a\u5389\u5bb3\u3002\u800c\u91cf\u5b50\u6bd4\u7279\u7684\u7a33\u5b9a\u6027\u662f\u76ee\u524d\u6700\u5927\u6311\u7ad9\u4e4b\u4e00\u3002\u6240\u4ee5\u4ec0\u4e48\u65f6\u5019\u4eba\u7c7b\u80fd\u591f\u8ba9\u66f4\u591a\u7684\u91cf\u5b50\u6bd4\u7279\u7a33\u5b9a\uff0c\u7136\u540e\u4f4d\u6570\u53c8\u591a\uff0c\u90a3\u6211\u4eec\u73b0\u5728\u7528\u5230\u7684\u8fd9\u4e9b\u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5\u7684\u672b\u65e5\u4e5f\u5c31\u5230\u5934\u4e86\u3002\u5f53\u7136\u76ee\u524d\u8fd8\u662f\u6709\u5f88\u957f\u7684\u8def\u8981\u8d70\uff0c\u4f46\u5a01\u80c1\u786e\u5b9e\u662f\u4e00\u6b65\u6b65\u7684\u5728\u63a5\u8fd1\u3002<\/p>\n\n\n\n<p>\u5728\u8fd9\u4e2a\u7f51\u7ad9\u4e0a\u6211\u4eec\u80fd\u591f\u770b\u5230\u6700\u8fd1\u52302030\u5e74\u4e4b\u524d\u5bc6\u94a5\u957f\u5ea6\u63a8\u8350<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>https:\/\/www.keylength.com\/en\/compare\/<\/li>\n<\/ul>\n\n\n\n<p>\u53ef\u4ee5\u770b\u5230ECC\u8fd8\u662f\u5f88\u5389\u5bb3\u7684\uff0c256\u4f4d\u53ef\u4ee5\u8fbe\u5230RSA 3072\u4f4d\u7684\u5bc6\u7801\u5f3a\u5ea6\u3002<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"429\" src=\"https:\/\/pjq.me\/wp-content\/uploads\/2025\/11\/image-23-1024x429.png\" alt=\"\" class=\"wp-image-2508\" srcset=\"https:\/\/pjq.me\/wp-content\/uploads\/2025\/11\/image-23-1024x429.png 1024w, https:\/\/pjq.me\/wp-content\/uploads\/2025\/11\/image-23-300x126.png 300w, https:\/\/pjq.me\/wp-content\/uploads\/2025\/11\/image-23-768x322.png 768w, https:\/\/pjq.me\/wp-content\/uploads\/2025\/11\/image-23.png 1367w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>\u770b\u4e86\u4e0a\u9762\u7684\u4ecb\u7ecd\uff0c\u5e0c\u671b\u5927\u5bb6\u80fd\u591f\u4e00\u4e0b\u540e\u91cf\u5b50\u8ba1\u7b97\u673a\u65f6\u4ee3\u52a0\u5bc6\u7b97\u6cd5\u5230\u5e95\u610f\u5473\u7740\u4ec0\u4e48\uff0c\u4e5f\u4e0d\u7528\u614c\uff0c\u9b54\u9ad8\u4e00\u5c3a\uff0c\u9053\u9ad8\u4e00\u4e08\uff0c\u5faa\u73af\u8fed\u4ee3\uff0c\u87ba\u65cb\u5f0f\u4e0a\u5347\uff0c\u5e94\u8be5\u8fd8\u662f\u4eba\u7c7b\u5728\u5bc6\u7801\u5b66\u9886\u57df\u4e0d\u65ad\u6f14\u8fdb\u7684\u65b9\u5f0f\u3002<\/p>\n\n\n\n<p>\u6240\u4ee5\u8bf4\u8c01\u7528\u91cf\u5b50\u8ba1\u7b97\u673a\u7834\u89e3\u4e86\u52a0\u5bc6\u7b97\u6cd5\uff0c\u90a3\u5c31\u662f\u800d\u6d41\u6c13\uff0c\u4e00\u5b9a\u8981\u4e0a\u9650\u5236\uff0c\u6bd4\u5982\u67d0\u79cd\u52a0\u5bc6\u7b97\u6cd5\uff0c\u5bc6\u94a5\u957f\u5ea6\u591a\u5c11\uff0c\u6bd5\u7adf\u5982\u679c\u5bc6\u94a5\u957f\u5ea6\u5f88\u77ed\u7684\u8bdd\uff0c\u73b0\u6709\u7684\u8ba1\u7b97\u673a\u4e00\u6837\u53ef\u4ee5\u7834\u89e3\u7684\u3002<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u6700\u8fd1\u53ef\u80fd\u5927\u5bb6\u4e5f\u770b\u5230\u4e86\u4e00\u4e9b\u5173\u4e8e\u91cf\u5b50\u8ba1\u7b97\u673a\u8fdb\u5c55\u7684\u65b0\u95fb\uff0c\u6bd4\u5982Google \u63a8\u51fa\u300c\u91cf\u5b50\u8ff4\u8072\u300d\u7b97\u6cd5\uff0c\u91cf\u5b50\u8ba1\u7b97\u673a\u5b9e\u9645\u5e94\u7528\u91cc\u7a0b\u7891 \u5f53\u770b\u5230\u8fd9\u4e9b\u65b0\u95fb\u7684\u65f6\u5019\uff0c\u4f60\u662f\u5426\u5fc3\u91cc\u518d\u60f3\u771f\u5389\u5bb3\uff0c\u91cf\u5b50\u8ba1\u7b97\u673a\u80fd\u591f\u5b9e\u73b0\u6307\u6570\u7ea7\u7684\u8fd0\u7b97\u901f\u5ea6\u7684\u63d0\u5347\u3002 \u6240\u4ee5\u5462\uff0c\u4eba\u7c7b\u6700\u8fd1\u4e00\u76f4\u5728\u60f3\u529e\u6cd5\u89e3\u51b3\u91cf\u5b50\u8ba1\u7b97\u673a\u53d1\u5c55\u5bf9\u52a0\u5bc6\u7b97\u6cd5\u7684\u5a01\u80c1\u3002 \u4f46\u91cf\u5b50\u8ba1\u7b97\u673a\u5bf9\u54ea\u4e9b\u52a0\u5bc6\u7b97\u6cd5\u6709\u5a01\u80c1\u5462\uff1f\u4f30\u8ba1\u6ca1\u6709\u591a\u5c11\u4eba\u80fd\u8bf4\u7684\u6e05\u695a\u3002 \u9996\u5148\u6211\u4eec\u8981\u77e5\u9053\u91cf\u5b50\u8ba1\u7b97\u673a\u548c\u4f20\u7edf\u8ba1\u7b97\u673a\u4e0d\u4e00\u6837\uff0c\u8ba1\u7b97\u901f\u5ea6\u80fd\u591f\u6307\u6570\u7ea7\u63d0\u5347\uff0c\u90a3\u5bf9\u4e8e\u7834\u89e3\u6211\u4eec\u73b0\u5728\u7684\u52a0\u5bc6\u7b97\u6cd5\uff0c\u662f\u5426\u4e5f\u80fd\u6307\u6570\u7ea7\u63d0\u5347\uff1f \u8981\u56de\u7b54\u8fd9\u4e2a\u95ee\u9898\uff0c\u6211\u4eec\u8981\u4e00\u6b65\u6b65\u5c55\u5f00\u8bb2\u3002 \u5bf9\u79f0\u52a0\u5bc6\u548c\u975e\u5bf9\u79f0\u52a0\u5bc6 \u6211\u4eec\u5148\u8981\u6709\u4e2a\u6982\u5ff5\uff0c\u6211\u4eec\u52a0\u5bc6\u7b97\u6cd5\u4e00\u822c\u5206\u4e3a\u5bf9\u79f0\u52a0\u5bc6\u548c\u975e\u5bf9\u79f0\u52a0\u5bc6\uff0c\u4f7f\u7528\u7684\u539f\u7406\u4e0d\u4e00\u6837\uff0c\u5177\u4f53\u64cd\u4f5c\u8fc7\u7a0b\u5148\u653e\u5230\u4e00\u8fb9\u3002 \u5bf9\u79f0\u52a0\u5bc6\uff0c\u6bd4\u5982AES\uff0c\u57fa\u4e8e\u5404\u79cd\u66ff\u6362\u8f6c\u6362\u64cd\u4f5c(SPN) \u975e\u5bf9\u79f0\u52a0\u5bc6\uff0c\u6bd4\u5982 \u6240\u4ee5\u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5\u57fa\u672c\u90fd\u662f\u57fa\u4e8e\u4e00\u4e9b\u96be\u89e3\u7684\u6570\u5b66\u95ee\u9898\uff0c\u800c\u521a\u597d\u8fd9\u4e9b\u95ee\u9898\u6709\u53ef\u80fd\u88ab\u67d0\u4e9b\u91cf\u5b50\u8ba1\u7b97\u673a\u7b97\u6cd5\u7834\u89e3\u3002 Shor\u7b97\u6cd5 Shor\u7b97\u6cd5\uff0c\u8be6\u89c1\u7ef4\u65af\u767e\u79d1\uff0c1994\u5e74\u53d1\u660e \u6211\u4eec\u90fd\u8bf4\u91cf\u5b50\u8ba1\u7b97\u673a\u5bf9\u52a0\u5bc6\u7b97\u6cd5\u6709\u5a01\u80c1\uff0c\u8fd9\u4e2a\u5a01\u80c1\u5176\u5b9e\u5c31\u662f\u6765\u81ea\u4e8eShor\u7b97\u6cd5\u3002 \u5177\u4f53\u7684\u7b97\u8fc7\u7a0b\u6211\u4e5f\u770b\u4e0d\u61c2\uff0c\u4f46\u7b80\u5355\u6765\u8bf4\u8fd9\u4e2a\u7b97\u6cd5\u53ef\u4ee5\u5728\u91cf\u5b50\u8ba1\u7b97\u673a\u4e0a\u5feb\u901f\u8ba1\u7b97\u5927\u6574\u6570\u7684\u56e0\u5f0f\u5206\u89e3\uff0c\u4e5f\u5c31\u662fRSA\u57fa\u4e8e\u7684\u4e24\u4e2a\u5927\u6574\u6570(\u8d28\u6570)p, q\u76f8\u4e58\u5f97\u5230N = p * q, \u5f53\u77e5\u9053N\u7684\u60c5\u51b5\u4e0b\u65e0\u6cd5\u63a8\u5bfc\u51fap, q\u3002 \u6240\u4ee5\u6211\u4eec\u5bf9\u7167\u4e0a\u9762\u7684\u5bc6\u7801\u5b66\u4e2d\u7684\u975e\u5bf9\u79f0\u52a0\u5bc6\uff0c\u5c31\u80fd\u77e5\u9053\uff0cShor\u7b97\u6cd5\u5bf9\u4e8e\u975e\u5bf9\u79f0\u52a0\u5bc6\u6709\u5f88\u5927\u7684\u5371\u9669\uff0c\u800c\u5bf9\u4e8e\u5bf9\u79f0\u52a0\u5bc6\u5a01\u80c1\u5e76\u6ca1\u6709\u90a3\u4e48\u5927\uff0c\u6240\u4ee5AES\u8fd8\u662f\u5b89\u5168\u7684\u3002 \u56e0\u6b64\u975e\u5bf9\u79f0\u52a0\u5bc6\u7684\u8fd9\u4e9b\u7b97\u6cd5\uff0cRSA, DH, ECC\uff0c\u5728Shor\u7b97\u6cd5\u4e0b\u5904\u4e8e\u5f88\u5371\u9669\u7684\u5730\u6b65\uff0c\u9700\u8981\u6362\u6389\u3002 Grover\u7b97\u6cd5 Grover\u7b97\u6cd5\u4e5f\u662f\u4e00\u79cd\u91cf\u5b50\u8ba1\u7b97\u7684\u7b97\u6cd5\uff0c1996\u5e74\u53d1\u660e\uff0c\u5b83\u786e\u5b9e\u5bf9\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5AES\u9020\u6210\u4e86\u5a01\u80c1\u3002 \u5a01\u80c1\u7684\u539f\u56e0\u662f\u5b83\u53ef\u4ee5\u5bfc\u81f4AES\u7684\u5bc6\u94a5\u957f\u5ea6\u6709\u6548\u6027\u51cf\u534a\uff0c\u6211\u4eec\u77e5\u9053AES\u67093\u79cd\u957f\u5ea6\u7684\u5bc6\u94a5 \u6240\u4ee5\u7528\u4e0aGrover\u7b97\u6cd5\u540e\uff0c\u5b83\u7684\u957f\u5ea6\u6709\u6548\u6027\u4f1a\u53d8\u4e3a \u6240\u4ee5\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u867d\u7136\u6709\u91cf\u5b50\u8ba1\u7b97\u673a+Grover\u7b97\u6cd5\u7684\u52a0\u6301\uff0c\u76ee\u524dAES-192\uff0c AES-256\u4ecd\u7136\u662f\u5f88\u5b89\u5168\u7684\u3002 \u540e\u91cf\u5b50\u8ba1\u7b97\u673a\u65f6\u4ee3(PQC) \u540e\u91cf\u5b50\u8ba1\u7b97\u673a\u65f6\u4ee3\u52a0\u5bc6\u7b97\u6cd5(Post Quantum Cryptography=PQC), \u57fa\u4e8e\u4e0a\u9762\u8fd9\u4e9b\u91cf\u5b50\u7b97\u6cd5\u7684\u5371\u9669\u5e94\u8fd0\u800c\u751f\u3002 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