{"id":155,"date":"2022-09-06T10:09:42","date_gmt":"2022-09-06T02:09:42","guid":{"rendered":"https:\/\/qaqaq.top\/?p=155"},"modified":"2022-11-29T23:09:09","modified_gmt":"2022-11-29T15:09:09","slug":"%e5%bd%bb%e5%ba%95%e6%90%9e%e6%87%82%e9%9d%9e%e5%af%b9%e7%a7%b0%e5%8a%a0%e5%af%86%ef%bc%88%e5%85%ac%e9%92%a5%e5%af%86%e9%92%a5%ef%bc%89","status":"publish","type":"post","link":"https:\/\/qaqaq.top\/?p=155","title":{"rendered":"\u5f7b\u5e95\u641e\u61c2\u975e\u5bf9\u79f0\u52a0\u5bc6\uff08\u516c\u94a5\u5bc6\u94a5\uff09"},"content":{"rendered":"\n

\u5bf9\u79f0\u5bc6\u94a5\u7684\u7f3a\u70b9<\/h2>\n\n\n\n

\u6211\u4eec\u5148\u770b\u4e00\u4e2a\u4f8b\u5b50\uff0c\u5c0f\u660e\u548c\u5c0f\u7ea2\u8981\u8fdb\u884c\u901a\u4fe1\uff0c\u4f46\u662f\u4e0d\u60f3\u88ab\u5176\u4ed6\u4eba\u77e5\u9053\u901a\u4fe1\u7684\u5185\u5bb9\uff0c\u6240\u4ee5\u53cc\u65b9\u51b3\u5b9a\u91c7\u7528\u5bf9\u79f0\u52a0\u5bc6\u7684\u65b9\u5f0f\u3002\u4ed6\u4eec\u505a\u4e86\u4e0b\u9762\u7684\u4e8b\u60c5\uff1a<\/p>\n\n\n\n

1\u3001\u53cc\u65b9\u5546\u5b9a\u4e86\u52a0\u5bc6\u548c\u89e3\u5bc6\u7684\u7b97\u6cd5<\/p>\n\n\n\n

2\u3001\u53cc\u65b9\u786e\u5b9a\u5bc6\u94a5<\/p>\n\n\n\n

3\u3001\u901a\u4fe1\u8fc7\u7a0b\u4e2d\u91c7\u7528\u8fd9\u4e2a\u5bc6\u94a5\u8fdb\u884c\u52a0\u5bc6\u548c\u89e3\u5bc6<\/p>\n\n\n\n

\u8fd9\u662f\u4e0d\u662f\u4e00\u4e2a\u770b\u4f3c\u5b8c\u7f8e\u7684\u65b9\u6848\uff1f\u4f46\u5176\u4e2d\u6709\u4e00\u4e2a\u6b65\u9aa4\u5b58\u5728\u6f0f\u6d1e\uff01<\/p>\n\n\n\n

\u95ee\u9898\u51fa\u5728\u6b65\u9aa42\uff1a\u53cc\u65b9\u786e\u5b9a\u5bc6\u94a5\uff01<\/strong><\/p>\n\n\n\n

\u4f60\u80af\u5b9a\u4f1a\u95ee\uff0c\u53cc\u65b9\u4e0d\u786e\u5b9a\u5bc6\u94a5\uff0c\u540e\u9762\u7684\u52a0\u3001\u89e3\u5bc6\u600e\u4e48\u505a\uff1f<\/p>\n\n\n\n

\u95ee\u9898\u5728\u4e8e\u786e\u5b9a\u4e0b\u6765\u7684\u5bc6\u94a5\u5982\u4f55\u8ba9\u53cc\u65b9\u90fd\u77e5\u9053\u3002\u5bc6\u94a5\u5728\u4f20\u9012\u8fc7\u7a0b\u4e2d\u4e5f\u662f\u53ef\u80fd\u88ab\u76d7\u53d6\u7684\uff01\u8fd9\u91cc\u5f15\u51fa\u4e86\u4e00\u4e2a\u7ecf\u5178\u95ee\u9898\uff1a\u5bc6\u94a5\u914d\u9001\u95ee\u9898\u3002<\/strong><\/p>\n\n\n\n

\u5bc6\u94a5\u914d\u9001\u95ee\u9898<\/h2>\n\n\n\n

\u5c0f\u660e\u548c\u5c0f\u7ea2\u5728\u5546\u5b9a\u5bc6\u94a5\u7684\u8fc7\u7a0b\u4e2d\u80af\u5b9a\u4f1a\u591a\u6b21\u6c9f\u901a\u5bc6\u94a5\u662f\u4ec0\u4e48\u3002\u5373\u4f7f\u5355\u65b9\u4e00\u6b21\u786e\u5b9a\u4e0b\u6765\uff0c\u4e5f\u8981\u53d1\u7ed9\u5bf9\u65b9\u3002\u52a0\u5bc6\u662f\u4e3a\u4e86\u4fdd\u8bc1\u4fe1\u606f\u4f20\u8f93\u7684\u5b89\u5168\uff0c\u4f46\u5bc6\u94a5\u672c\u8eab\u4e5f\u662f\u4fe1\u606f<\/strong>\uff0c\u5bc6\u94a5\u7684\u4f20\u8f93\u5b89\u5168\u53c8\u8be5\u5982\u4f55\u4fdd\u8bc1\u5462\uff1f\u96be\u4e0d\u6210\u8fd8\u8981\u4e3a\u5bc6\u94a5\u7684\u4f20\u8f93\u518d\u505a\u4e00\u6b21\u52a0\u5bc6\uff1f\u8fd9\u6837\u4e0d\u5c31\u9677\u5165\u4e86\u6b7b\u5faa\u73af\uff1f<\/p>\n\n\n\n

\u4f60\u662f\u4e0d\u662f\u5728\u60f3\uff0c\u5bc6\u94a5\u5373\u4f7f\u88ab\u76d7\u53d6\uff0c\u4e0d\u8fd8\u6709\u52a0\u5bc6\u7b97\u6cd5\u4fdd\u8bc1\u4fe1\u606f\u5b89\u5168\u5417\uff1f\u5982\u679c\u4f60\u771f\u7684\u6709\u8fd9\u4e2a\u60f3\u6cd5\uff0c\u90a3\u4e48\u8d76\u7d27\u590d\u4e60\u4e00\u4e0b\u4e0a\u4e00\u7bc7\u6587\u7ae0\u8bb2\u7684\u675c\u7edd\u9690\u853d\u5f0f\u5b89\u5168\u6027<\/strong>\u3002\u4efb\u4f55\u7b97\u6cd5\u6700\u7ec8\u90fd\u4f1a\u88ab\u7834\u8bd1\uff0c\u6240\u4ee5\u4e0d\u80fd\u4f9d\u8d56\u7b97\u6cd5\u7684\u590d\u6742\u5ea6\u6765\u4fdd\u8bc1\u5b89\u5168\u3002<\/p>\n\n\n\n

\u5c0f\u660e\u548c\u5c0f\u7ea2\u73b0\u5728\u5de6\u53f3\u4e3a\u96be\uff0c\u60f3\u52a0\u5bc6\u5c31\u8981\u7ed9\u5bf9\u65b9\u53d1\u5bc6\u94a5\uff0c\u4f46\u53d1\u5bc6\u94a5\u53c8\u4e0d\u80fd\u4fdd\u8bc1\u5bc6\u94a5\u7684\u5b89\u5168\u3002\u4ed6\u4eec\u5e94\u8be5\u600e\u4e48\u529e\u5462\uff1f<\/p>\n\n\n\n

\u6709\u5982\u4e0b\u51e0\u79cd\u89e3\u51b3\u5bc6\u94a5\u914d\u9001\u95ee\u9898\u7684\u65b9\u6848\uff1a<\/p>\n\n\n\n

  1. \u4e8b\u5148\u5171\u4eab\u5bc6\u94a5<\/li>
  2. \u5bc6\u94a5\u5206\u914d\u4e2d\u5fc3<\/li>
  3. Diffie-Hellman\u5bc6\u94a5\u4ea4\u6362<\/li>
  4. \u975e\u5bf9\u79f0\u52a0\u5bc6<\/li><\/ol>\n\n\n\n

    \u672c\u6587\u5c31\u4e0d\u5c55\u5f00\u8bb2\u6bcf\u79cd\u65b9\u5f0f\uff0c\u8fd9\u91cc\u53ea\u662f\u4e3a\u4e86\u5f15\u51fa\u4eca\u5929\u7684\u4e3b\u89d2\u2014\u2014\u975e\u5bf9\u79f0\u52a0\u5bc6\u3002<\/p>\n\n\n\n

    \u975e\u5bf9\u79f0\u52a0\u5bc6<\/h2>\n\n\n\n

    \u975e\u5bf9\u79f0\u52a0\u5bc6\u4e5f\u79f0\u4e3a\u516c\u94a5\u5bc6\u7801\u3002\u6211\u66f4\u613f\u610f\u7528\u975e\u5bf9\u79f0\u52a0\u5bc6\u8fd9\u79cd\u53eb\u6cd5\u3002\u56e0\u4e3a\u53ef\u4ee5\u4f53\u73b0\u51fa\u52a0\u5bc6\u548c\u89e3\u5bc6\u4f7f\u7528\u4e0d\u540c\u7684\u5bc6\u94a5\u3002<\/p>\n\n\n\n

    \u5bf9\u79f0\u52a0\u5bc6\u4e2d\uff0c\u6211\u4eec\u53ea\u9700\u8981\u4e00\u4e2a\u5bc6\u94a5\uff0c\u901a\u4fe1\u53cc\u65b9\u540c\u65f6\u6301\u6709\u3002\u800c\u975e\u5bf9\u79f0\u52a0\u5bc6\u9700\u89814\u4e2a\u5bc6\u94a5\u3002\u901a\u4fe1\u53cc\u65b9\u5404\u81ea\u51c6\u5907\u4e00\u5bf9\u516c\u94a5\u548c\u79c1\u94a5\u3002\u5176\u4e2d\u516c\u94a5\u662f\u516c\u5f00\u7684\uff0c\u7531\u4fe1\u606f\u63a5\u53d7\u65b9\u63d0\u4f9b\u7ed9\u4fe1\u606f\u53d1\u9001\u65b9\u3002\u516c\u94a5\u7528\u6765\u5bf9\u4fe1\u606f\u52a0\u5bc6\u3002\u79c1\u94a5\u7531\u4fe1\u606f\u63a5\u53d7\u65b9\u4fdd\u7559\uff0c\u7528\u6765\u89e3\u5bc6\u3002\u65e2\u7136\u516c\u94a5\u662f\u516c\u5f00\u7684\uff0c\u5c31\u4e0d\u5b58\u5728\u4fdd\u5bc6\u95ee\u9898\u3002\u4e5f\u5c31\u662f\u8bf4\u975e\u5bf9\u79f0\u52a0\u5bc6\u5b8c\u5168\u4e0d\u5b58\u5728\u5bc6\u94a5\u914d\u9001\u95ee\u9898\uff01\u4f60\u770b\uff0c\u662f\u4e0d\u662f\u5b8c\u7f8e\u89e3\u51b3\u4e86\u5bc6\u94a5\u914d\u9001\u95ee\u9898\uff1f<\/p>\n\n\n\n

    \u56de\u5230\u521a\u624d\u7684\u4f8b\u5b50\uff0c\u5c0f\u660e\u548c\u4e0b\u7ea2\u7ecf\u8fc7\u7814\u7a76\u53d1\u73b0\u975e\u5bf9\u79f0\u52a0\u5bc6\u80fd\u89e3\u51b3\u4ed6\u4eec\u901a\u4fe1\u7684\u5b89\u5168\u95ee\u9898\uff0c\u4e8e\u662f\u505a\u4e86\u4e0b\u9762\u7684\u4e8b\u60c5\uff1a<\/p>\n\n\n\n

    1\u3001\u5c0f\u660e\u786e\u5b9a\u4e86\u81ea\u5df1\u7684\u79c1\u94a5 mPrivateKey\uff0c\u516c\u94a5 mPublicKey\u3002\u81ea\u5df1\u4fdd\u7559\u79c1\u94a5\uff0c\u5c06\u516c\u94a5mPublicKey\u53d1\u7ed9\u4e86\u5c0f\u7ea2<\/p>\n\n\n\n

    2\u3001\u5c0f\u7ea2\u786e\u5b9a\u4e86\u81ea\u5df1\u7684\u79c1\u94a5 hPrivateKey\uff0c\u516c\u94a5 hPublicKey\u3002\u81ea\u5df1\u4fdd\u7559\u79c1\u94a5\uff0c\u5c06\u516c\u94a5 hPublicKey \u53d1\u7ed9\u4e86\u5c0f\u660e<\/p>\n\n\n\n

    3\u3001\u5c0f\u660e\u53d1\u9001\u4fe1\u606f \u201c\u5468\u516d\u65e910\u70b9soho T1\u697c\u4e0b\u89c1\u201d\uff0c\u5e76\u4e14\u7528\u5c0f\u7ea2\u7684\u516c\u94a5 hPublicKey \u8fdb\u884c\u52a0\u5bc6\u3002<\/p>\n\n\n\n

    4\u3001\u5c0f\u7ea2\u6536\u5230\u4fe1\u606f\u540e\u7528\u81ea\u5df1\u7684\u79c1\u94a5 hPrivateKey \u8fdb\u884c\u89e3\u5bc6\u3002\u7136\u540e\u56de\u590d \u201c\u6536\u5230\uff0c\u4e0d\u8981\u8fdf\u5230\u201d \u5e76\u7528\u5c0f\u660e\u7684\u516c\u94a5mPublicKey\u52a0\u5bc6\u3002<\/p>\n\n\n\n

    5\u3001\u5c0f\u660e\u6536\u5230\u4fe1\u606f\u540e\u7528\u81ea\u5df1\u7684\u79c1\u94a5 mPrivateKey \u8fdb\u884c\u89e3\u5bc6\u3002\u8bfb\u53d6\u4fe1\u606f\u540e\u5fc3\u91cc\u6697\u60f3\uff1a\u8fd8\u63d0\u9192\u6211\u4e0d\u8fdf\u5230\uff1f\u6bcf\u6b21\u8fdf\u5230\u7684\u90fd\u662f\u4f60\u5427\uff1f<\/p>\n\n\n\n

    \u4ee5\u4e0a\u8fc7\u7a0b\u662f\u4e00\u6b21\u5b8c\u6574\u7684request\u548cresponse\u3002\u901a\u8fc7\u8fd9\u4e2a\u4f8b\u5b50\u6211\u4eec\u68b3\u7406\u51fa\u4e00\u6b21\u4fe1\u606f\u4f20\u8f93\u7684\u975e\u5bf9\u79f0\u52a0\u3001\u89e3\u5bc6\u8fc7\u7a0b\uff1a<\/p>\n\n\n\n

    1\u3001\u6d88\u606f\u63a5\u6536\u65b9<\/strong>\u51c6\u5907\u597d\u516c\u94a5\u548c\u79c1\u94a5<\/p>\n\n\n\n

    2\u3001\u79c1\u94a5\u63a5\u6536\u65b9<\/strong>\u81ea\u5df1\u7559\u5b58\u3001\u516c\u94a5\u53d1\u5e03\u7ed9\u6d88\u606f\u53d1\u9001\u65b9<\/strong><\/p>\n\n\n\n

    3\u3001\u6d88\u606f\u53d1\u9001\u65b9<\/strong>\u4f7f\u7528\u63a5\u6536\u65b9\u516c\u94a5\u5bf9\u6d88\u606f\u8fdb\u884c\u52a0\u5bc6<\/p>\n\n\n\n

    4\u3001\u6d88\u606f\u63a5\u6536\u65b9<\/strong>\u7528\u81ea\u5df1\u7684\u79c1\u94a5\u5bf9\u6d88\u606f\u89e3\u5bc6<\/p>\n\n\n\n

    \u516c\u94a5\u53ea\u80fd\u7528\u505a\u6570\u636e\u52a0\u5bc6\u3002\u516c\u94a5\u52a0\u5bc6\u7684\u6570\u636e\uff0c\u53ea\u80fd\u7528\u5bf9\u5e94\u7684\u79c1\u94a5\u624d\u80fd\u89e3\u5bc6\u3002\u8fd9\u662f\u975e\u5bf9\u79f0\u52a0\u5bc6\u7684\u6838\u5fc3\u6982\u5ff5<\/strong>\u3002<\/p>\n\n\n\n

    \u4e0b\u9762\u6211\u7528\u4e00\u4e2a\u66f4\u4e3a\u5f62\u8c61\u7684\u4f8b\u5b50\u6765\u5e2e\u52a9\u5927\u5bb6\u7406\u89e3\u3002<\/p>\n\n\n\n

    \u6211\u6709\u4e0b\u56fe\u8fd9\u6837\u4e00\u4e2a\u4fe1\u7bb1\u3002<\/p>\n\n\n\n

    \"\"\/<\/div>
    \u5e26\u4e24\u628a\u9501\u7684\u4fe1\u7bb1<\/figcaption><\/figure>\n\n\n\n

    \u7531\u4e8e\u6211\u53ea\u60f3\u63a5\u6536\u6211\u671f\u671b\u4e0e\u4e4b\u901a\u4fe1\u7684\u670b\u53cb\u4fe1\u4ef6\u3002\u4e8e\u662f\u6211\u5728\u6295\u9012\u53e3\u52a0\u4e86\u4e00\u628a\u9501\uff0c\u8fd9\u628a\u9501\u7684\u94a5\u5319\uff08\u516c\u94a5\uff09\u6211\u53ef\u4ee5\u590d\u5236n\u4efd\uff0c\u53d1\u7ed9\u6211\u60f3\u63a5\u53d7\u5176\u4fe1\u4ef6\u7684\u4eba\u3002\u53ea\u6709\u8fd9\u4e9b\u4eba\u53ef\u4ee5\u7528\u8fd9\u628a\u94a5\u5319\u6253\u5f00\u5bc4\u4fe1\u53e3\uff0c\u628a\u4fe1\u4ef6\u6295\u5165\u3002<\/p>\n\n\n\n

    \"\"\/<\/div>
    \u6211\u51c6\u5907\u597d\u4e86\u4e24\u628a\u9501\u7684\u94a5\u5319\uff1a\u516c\u94a5\u548c\u79c1\u94a5<\/figcaption><\/figure>\n\n\n\n

    \u6536\u4fe1\u95e8\u662f\u53e6\u5916\u4e00\u628a\u9501\uff0c\u6253\u5f00\u540e\u53ef\u4ee5\u62ff\u51fa\u6240\u6709\u7684\u4fe1\u4ef6\u3002\u5bc4\u4fe1\u53e3\u7684\u94a5\u5319\u5e76\u4e0d\u80fd\u6253\u5f00\u8fd9\u628a\u9501\u3002\u8fd9\u628a\u9501\u7684\u94a5\u5319\uff08\u79c1\u94a5\uff09\u5f53\u7136\u53ea\u6709\u6211\u6709\u3002\u6211\u53ef\u4ee5\u7528\u8fd9\u628a\u94a5\u5319\u6253\u5f00\u4fe1\u7bb1\u95e8\uff0c\u53d6\u51fa\u6240\u6709\u53d1\u7ed9\u6211\u7684\u4fe1\u4ef6\u3002<\/p>\n\n\n\n

    \"\"\/<\/div>
    \u79c1\u94a5\u6211\u81ea\u5df1\u4fdd\u7559\uff0c\u516c\u94a5\u7ed9\u6211\u7684\u670b\u53cb<\/figcaption><\/figure>\n\n\n\n

    \u76f8\u4fe1\u901a\u8fc7\u8fd9\u4e2a\u4f8b\u5b50\uff0c\u53ef\u4ee5\u5e2e\u52a9\u5927\u5bb6\u5f7b\u5e95\u7406\u89e3\u516c\u94a5\u548c\u79c1\u94a5\u7684\u6982\u5ff5\u3002<\/p>\n\n\n\n

    \u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5<\/h2>\n\n\n\n

    RSA \u662f\u73b0\u5728\u4f7f\u7528\u6700\u4e3a\u5e7f\u6cdb\u7684\u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5\uff0c\u672c\u8282\u6211\u4eec\u6765\u7b80\u5355\u4ecb\u7ecd RSA \u52a0\u89e3\u5bc6\u7684\u8fc7\u7a0b\u3002<\/p>\n\n\n\n

    RSA \u52a0\u89e3\u5bc6\u7b97\u6cd5\u5176\u5b9e\u5f88\u7b80\u5355\uff1a<\/p>\n\n\n\n

    \u5bc6\u6587=\u660e\u6587^E mod N<\/p>\n\n\n\n

    \u660e\u6587=\u5bc6\u6587^D mod N<\/p>\n\n\n\n

    RSA \u7b97\u6cd5\u5e76\u4e0d\u4f1a\u50cf\u5bf9\u79f0\u52a0\u5bc6\u4e00\u6837\uff0c\u7528\u73a9\u9b54\u65b9\u7684\u65b9\u5f0f\u6765\u6253\u4e71\u539f\u59cb\u4fe1\u606f\u3002RSA \u52a0\u3001\u89e3\u5bc6\u4e2d\u4f7f\u7528\u4e86\u662f\u540c\u6837\u7684\u6570 N\u3002\u516c\u94a5\u662f\u516c\u5f00\u7684\uff0c\u610f\u5473\u7740 N \u4e5f\u662f\u516c\u5f00\u7684\u3002\u6240\u4ee5\u79c1\u94a5\u4e5f\u53ef\u4ee5\u8ba4\u4e3a\u53ea\u662f D\u3002<\/p>\n\n\n\n

    \u6211\u4eec\u63a5\u4e0b\u6765\u770b\u4e00\u770b N\u3001E\u3001D \u662f\u5982\u4f55\u8ba1\u7b97\u7684\u3002<\/p>\n\n\n\n

    1\u3001\u6c42 N<\/p>\n\n\n\n

    \u9996\u5148\u9700\u8981\u51c6\u5907\u4e24\u4e2a\u5f88\u5927\u8d28\u6570 a \u548c b\u3002\u592a\u5c0f\u5bb9\u6613\u7834\u89e3\uff0c\u592a\u5927\u8ba1\u7b97\u6210\u672c\u592a\u9ad8\u3002\u6211\u4eec\u53ef\u4ee5\u7528 512 bit \u7684\u6570\u5b57\uff0c\u5b89\u5168\u6027\u8981\u6c42\u9ad8\u7684\u53ef\u4ee5\u4f7f\u7528 1024\uff0c2048 bit\u3002<\/p>\n\n\n\n

    N=a*b<\/p>\n\n\n\n

    2\u3001\u6c42 L<\/p>\n\n\n\n

    L \u53ea\u662f\u751f\u6210\u5bc6\u94a5\u5bf9\u8fc7\u7a0b\u4e2d\u4ea7\u751f\u7684\u6570\uff0c\u5e76\u4e0d\u53c2\u4e0e\u52a0\u89e3\u5bc6\u3002L \u662f (a-1) \u548c (b-1) \u7684\u6700\u5c0f\u516c\u500d\u6570<\/p>\n\n\n\n

    3\u3001\u6c42 E\uff08\u516c\u94a5\uff09<\/p>\n\n\n\n

    E \u6709\u4e24\u4e2a\u9650\u5236\uff1a<\/p>\n\n\n\n

    1<E<<\/p>\n\n\n\n

    E\u548cL\u7684\u6700\u5927\u516c\u7ea6\u6570\u4e3a1<\/p>\n\n\n\n

    \u7b2c\u4e00\u4e2a\u6761\u4ef6\u9650\u5236\u4e86 E \u7684\u53d6\u503c\u8303\u56f4\uff0c\u7b2c\u4e8c\u4e2a\u6761\u4ef6\u662f\u4e3a\u4e86\u4fdd\u8bc1\u6709\u4e0e E \u5bf9\u5e94\u7684\u89e3\u5bc6\u65f6\u7528\u5230\u7684 D\u3002<\/p>\n\n\n\n

    4\u3001\u6c42 D\uff08\u79c1\u94a5\uff09<\/p>\n\n\n\n

    D \u4e5f\u6709\u4e24\u4e2a\u9650\u5236\u6761\u4ef6\uff1a<\/p>\n\n\n\n

    1<D<L<\/p>\n\n\n\n

    E*D mod L = 1<\/p>\n\n\n\n

    \u7b2c\u4e8c\u4e2a\u6761\u4ef6\u786e\u4fdd\u5bc6\u6587\u89e3\u5bc6\u65f6\u80fd\u591f\u6210\u529f\u5f97\u5230\u539f\u6765\u7684\u660e\u6587\u3002<\/p>\n\n\n\n

    \u7531\u4e8e\u539f\u7406\u6d89\u53ca\u5f88\u591a\u6570\u5b66\u77e5\u8bc6\uff0c\u8fd9\u91cc\u5c31\u4e0d\u5c55\u5f00\u7ec6\u8bb2\uff0c\u6211\u4eec\u53ea\u9700\u8981\u4e86\u89e3\u8fd9\u4e2a\u8fc7\u7a0b\u4e2d\u7528\u5230\u8fd9\u51e0\u4e2a\u6570\u5b57\u53ca\u516c\u5f0f\u3002\u8fd9\u662f\u7406\u89e3RSA \u5b89\u5168\u6027\u7684\u57fa\u7840\u3002<\/p>\n\n\n\n

    RSA\u7684\u5b89\u5168\u6027<\/h2>\n\n\n\n

    \u66b4\u529b\u7834\u89e3\u79c1\u94a5\uff08D\uff09<\/h3>\n\n\n\n

    \u7531\u4e8e N \u5728\u516c\u94a5\u4e2d\u662f\u516c\u5f00\u7684\uff0c\u90a3\u4e48\u53ea\u9700\u8981\u7834\u89e3 D\uff0c\u5c31\u53ef\u4ee5\u89e3\u5bc6\u5f97\u5230\u660e\u6587\u3002<\/p>\n\n\n\n

    \u5728\u5b9e\u9645\u4f7f\u7528\u573a\u666f\u4e2d\uff0c\u8d28\u6570 a,b \u4e00\u822c\u81f3\u5c111024 bit\uff0c\u90a3\u4e48 N \u7684\u957f\u5ea6\u5728 2048 bit \u4ee5\u4e0a\u3002D \u7684\u957f\u5ea6\u548c N \u63a5\u8fd1\u3002\u4ee5\u73b0\u5728\u8ba1\u7b97\u673a\u7684\u7b97\u529b\uff0c\u66b4\u529b\u7834\u89e3 D \u662f\u975e\u5e38\u56f0\u96be\u7684\u3002<\/p>\n\n\n\n

    \u901a\u8fc7\u516c\u94a5\uff08E\u3001N\uff09\u8ba1\u7b97\u51fa\u79c1\u94a5\uff08D\uff09<\/h3>\n\n\n\n

    \u516c\u94a5\u662f\u516c\u5f00\u7684\uff0c\u4e5f\u5c31\u662f\u8bf4 E \u548c N \u662f\u516c\u5f00\u7684\uff0c\u90a3\u4e48\u662f\u5426\u53ef\u4ee5\u901a\u8fc7 E \u548c N \u63a8\u65ad\u51fa D \u5462\uff1f<\/p>\n\n\n\n

    E*D mod L = 1<\/p>\n\n\n\n

    \u60f3\u8981\u63a8\u7b97\u51fa D \u5c31\u9700\u8981\u5148\u63a8\u7b97\u51fa L\u3002L \u662f (a-1) \u548c (b-1) \u7684\u6700\u5c0f\u516c\u500d\u6570\u3002\u60f3\u77e5\u9053 L \u5c31\u9700\u8981\u77e5\u9053\u8d28\u6570 a \u548c b\u3002\u7834\u89e3\u8005\u5e76\u4e0d\u77e5\u9053\u8fd9\u4e24\u4e2a\u8d28\u6570\uff0c\u60f3\u8981\u7834\u89e3\u4e5f\u53ea\u80fd\u901a\u8fc7\u66b4\u529b\u7834\u89e3\u3002\u8fd9\u548c\u76f4\u63a5\u7834\u89e3 D \u7684\u96be\u5ea6\u662f\u4e00\u6837\u7684\u3002<\/p>\n\n\n\n

    \u7b49\u7b49\uff0cN \u662f\u516c\u5f00\u7684\uff0c\u800c N = a*b\u3002\u90a3\u4e48\u662f\u5426\u53ef\u4ee5\u5bf9 N \u8fdb\u884c\u8d28\u56e0\u6570\u5206\u89e3\u6c42\u5f97 a \u548c b \u5462\uff1f\u597d\u5728\u4eba\u7c7b\u8fd8\u672a\u53d1\u73b0\u9ad8\u6548\u8fdb\u884c\u8d28\u56e0\u6570\u5206\u89e3\u7684\u65b9\u6cd5\uff0c\u56e0\u6b64\u53ef\u4ee5\u8ba4\u4e3a\u505a\u8d28\u56e0\u6570\u5206\u89e3\u975e\u5e38\u56f0\u96be\u3002<\/p>\n\n\n\n

    \u4f46\u662f\u4e00\u65e6\u67d0\u4e00\u5929\u53d1\u73b0\u4e86\u5feb\u901f\u505a\u8d28\u56e0\u6570\u5206\u89e3\u7684\u7b97\u6cd5\uff0c\u90a3\u4e48 RSA \u5c31\u4e0d\u518d\u5b89\u5168<\/strong><\/p>\n\n\n\n

    \u6f5c\u5728\u7684\u5371\u9669<\/strong><\/h3>\n\n\n\n

    \u6211\u4eec\u53ef\u4ee5\u770b\u51fa\u5927\u8d28\u6570 a \u548c b \u5728 RSA \u7b97\u6cd5\u4e2d\u7684\u91cd\u8981\u6027\u3002\u4fdd\u8bc1 a \u548c b \u7684\u5b89\u5168\u4e5f\u5c31\u786e\u4fdd\u4e86 RSA \u7b97\u6cd5\u7684\u5b89\u5168\u6027\u3002a \u548c b \u662f\u901a\u8fc7\u4f2a\u968f\u673a\u751f\u6210\u5668\u751f\u6210\u7684\u3002\u4e00\u65e6\u4f2a\u968f\u673a\u6570\u751f\u6210\u5668\u7684\u7b97\u6cd5\u6709\u95ee\u9898\uff0c\u5bfc\u81f4\u968f\u673a\u6027\u5f88\u5dee\u6216\u8005\u53ef\u4ee5\u88ab\u63a8\u65ad\u51fa\u6765\u3002\u90a3\u4e48 RSA \u7684\u5b89\u5168\u6027\u5c06\u88ab\u5f7b\u5e95\u7834\u574f\u3002<\/p>\n\n\n\n

    \u4e2d\u95f4\u4eba\u653b\u51fb<\/h3>\n\n\n\n

    \u4e2d\u95f4\u4eba\u653b\u51fb\u6307\u7684\u662f\u5728\u901a\u4fe1\u53cc\u65b9\u7684\u901a\u9053\u4e0a\uff0c\u6df7\u5165\u653b\u51fb\u8005\u3002\u4ed6\u5bf9\u63a5\u6536\u65b9\u4f2a\u88c5\u6210\u53d1\u9001\u8005\uff0c\u5bf9\u653e\u9001\u653e\u4f2a\u88c5\u6210\u63a5\u6536\u8005\u3002<\/p>\n\n\n\n

    \u4ed6\u76d1\u542c\u5230\u53cc\u65b9\u53d1\u9001\u516c\u94a5\u65f6\uff0c\u5077\u5077\u5c06\u6d88\u606f\u7be1\u6539\uff0c\u53d1\u9001\u81ea\u5df1\u7684\u516c\u94a5\u7ed9\u53cc\u65b9\u3002\u7136\u540e\u81ea\u5df1\u5219\u4fdd\u5b58\u4e0b\u6765\u53cc\u65b9\u7684\u516c\u94a5\u3002<\/p>\n\n\n\n

    \u5982\u6b64\u64cd\u4f5c\u540e\uff0c\u53cc\u65b9\u52a0\u5bc6\u4f7f\u7528\u7684\u90fd\u662f\u653b\u51fb\u8005\u7684\u516c\u94a5\uff0c\u90a3\u4e48\u540e\u9762\u6240\u6709\u7684\u901a\u4fe1\uff0c\u653b\u51fb\u8005\u90fd\u53ef\u4ee5\u5728\u62e6\u622a\u540e\u8fdb\u884c\u89e3\u5bc6\uff0c\u5e76\u4e14\u7be1\u6539\u4fe1\u606f\u5185\u5bb9\u518d\u7528\u63a5\u6536\u65b9\u516c\u94a5\u52a0\u5bc6\u3002\u800c\u63a5\u6536\u65b9\u62ff\u5230\u7684\u5c06\u4f1a\u662f\u7be1\u6539\u540e\u7684\u4fe1\u606f\u3002\u5b9e\u9645\u4e0a\uff0c\u53d1\u9001\u548c\u63a5\u6536\u65b9\u90fd\u662f\u5728\u548c\u4e2d\u95f4\u4eba\u901a\u4fe1\u3002<\/p>\n\n\n\n

    \u8981\u9632\u8303\u4e2d\u95f4\u4eba\uff0c\u6211\u4eec\u9700\u8981\u4f7f\u7528\u516c\u94a5\u8bc1\u4e66\u3002\u8fd9\u90e8\u5206\u5185\u5bb9\u5728\u4e0b\u4e00\u7bc7\u6587\u7ae0\u91cc\u4f1a\u505a\u4ecb\u7ecd\u3002<\/p>\n\n\n\n

    \u603b\u7ed3<\/h2>\n\n\n\n

    \u548c\u5bf9\u79f0\u52a0\u5bc6\u76f8\u6bd4\u8f83\uff0c\u975e\u5bf9\u79f0\u52a0\u5bc6\u6709\u5982\u4e0b\u7279\u70b9\uff1a<\/p>\n\n\n\n

    1\u3001\u975e\u5bf9\u79f0\u52a0\u5bc6\u89e3\u51b3\u4e86\u5bc6\u7801\u914d\u9001\u95ee\u9898<\/p>\n\n\n\n

    2\u3001\u975e\u5bf9\u79f0\u52a0\u5bc6\u7684\u5904\u7406\u901f\u5ea6\u53ea\u6709\u5bf9\u79f0\u52a0\u5bc6\u7684\u51e0\u767e\u5206\u4e4b\u4e00\u3002\u4e0d\u9002\u5408\u5bf9\u5f88\u957f\u7684\u6d88\u606f\u505a\u52a0\u5bc6\u3002<\/p>\n\n\n\n

    3\u30011024 bit \u7684 RSA\u4e0d\u5e94\u8be5\u5728\u88ab\u65b0\u7684\u5e94\u7528\u4f7f\u7528\u3002\u81f3\u5c11\u8981 2048 bit \u7684 RSA\u3002<\/p>\n\n\n\n

    RSA \u89e3\u51b3\u4e86\u5bc6\u7801\u914d\u9001\u95ee\u9898\uff0c\u4f46\u662f\u6548\u7387\u66f4\u4f4e\u3002\u6240\u4ee5\u6709\u4e9b\u65f6\u5019\uff0c\u6839\u636e\u9700\u6c42\u53ef\u80fd\u4f1a\u914d\u5408\u4f7f\u7528\u5bf9\u79f0\u548c\u975e\u5bf9\u79f0\u52a0\u5bc6\uff0c\u5f62\u6210\u6df7\u5408\u5bc6\u7801\u7cfb\u7edf\uff0c\u5404\u53d6\u6240\u957f\u3002<\/p>\n\n\n\n

    \u6700\u540e\u63d0\u9192\u5927\u5bb6\uff0cRSA \u8fd8\u53ef\u4ee5\u7528\u4e8e\u7b7e\u540d\uff0c\u4f46\u8981\u6ce8\u610f\u662f\u79c1\u94a5\u7b7e\u540d\uff0c\u516c\u94a5\u9a8c\u7b7e\u3002\u53d1\u4fe1\u65b9\u7528\u81ea\u5df1\u7684\u79c1\u94a5\u7b7e\u540d\uff0c\u6536\u4fe1\u65b9\u7528\u5bf9\u65b9\u516c\u94a5\u9a8c\u7b7e\u3002<\/p>\n","protected":false},"excerpt":{"rendered":"

    \u5bf9\u79f0\u5bc6\u94a5\u7684\u7f3a\u70b9 \u6211\u4eec\u5148\u770b\u4e00\u4e2a\u4f8b\u5b50\uff0c\u5c0f\u660e\u548c\u5c0f\u7ea2\u8981\u8fdb\u884c\u901a\u4fe1\uff0c\u4f46\u662f\u4e0d\u60f3\u88ab\u5176\u4ed6\u4eba\u77e5\u9053\u901a\u4fe1\u7684\u5185\u5bb9\uff0c\u6240\u4ee5\u53cc\u65b9\u51b3\u5b9a\u91c7\u7528\u5bf9\u79f0\u52a0 […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[70],"tags":[56],"class_list":["post-155","post","type-post","status-publish","format-standard","hentry","category-70","tag-56"],"_links":{"self":[{"href":"https:\/\/qaqaq.top\/index.php?rest_route=\/wp\/v2\/posts\/155"}],"collection":[{"href":"https:\/\/qaqaq.top\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/qaqaq.top\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/qaqaq.top\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/qaqaq.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=155"}],"version-history":[{"count":1,"href":"https:\/\/qaqaq.top\/index.php?rest_route=\/wp\/v2\/posts\/155\/revisions"}],"predecessor-version":[{"id":156,"href":"https:\/\/qaqaq.top\/index.php?rest_route=\/wp\/v2\/posts\/155\/revisions\/156"}],"wp:attachment":[{"href":"https:\/\/qaqaq.top\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=155"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/qaqaq.top\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=155"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/qaqaq.top\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=155"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}