{"id":131,"date":"2025-04-13T17:40:02","date_gmt":"2025-04-13T09:40:02","guid":{"rendered":"https:\/\/ziyuan.work\/?p=131"},"modified":"2025-11-12T14:59:02","modified_gmt":"2025-11-12T06:59:02","slug":"ssh%e5%8a%a0%e5%af%86%e7%ae%97%e6%b3%95%ef%bc%88diffie-hellman%e3%80%81rsa%e3%80%81aes%e3%80%81ecdsa%ef%bc%89","status":"publish","type":"post","link":"https:\/\/ziyuan.work\/?p=131","title":{"rendered":"SSH\u52a0\u5bc6\u7b97\u6cd5\uff08Diffie-Hellman\u3001RSA\u3001AES\u3001ECDSA\uff09"},"content":{"rendered":"\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\"><strong>Diffie-Hellman<\/strong><\/h2>\n\n\n\n<p>Diffie-Hellman\uff08D-H\uff09\u662f\u4e00\u79cd\u201c\u5bc6\u94a5\u4ea4\u6362\u534f\u8bae\u201c\uff0c\u4e3b\u8981\u7528\u4e8e\u5b89\u5168\u5730\u751f\u6210\u5171\u4eab\u5bc6\u94a5\uff0c\u9002\u7528\u4e8e\u9700\u8981\u5728\u4e0d\u5b89\u5168\u7f51\u7edc\u4e0a\u5efa\u7acb\u52a0\u5bc6\u901a\u4fe1\u7684\u573a\u666f\uff0c\u5e38\u7528\u4e8e TLS\u3001IPsec\u3002<\/p>\n\n\n\n<p>D-H\u7b97\u6cd5\u7528\u4e8e\u5efa\u7acb\u53ef\u7528\u4e8e\u79d8\u5bc6\u901a\u4fe1\u7684\u5171\u4eab\u5bc6\u94a5\uff0c\u540c\u65f6\u4f7f\u7528\u692d\u5706\u66f2\u7ebf\u901a\u8fc7\u516c\u5171\u7f51\u7edc\u4ea4\u6362\u6570\u636e\uff0c\u4ee5\u751f\u6210\u70b9\u5e76\u4f7f\u7528\u53c2\u6570\u83b7\u53d6\u5bc6\u94a5\uff0c\u7b97\u6cd5\u672c\u8eab\u4e0d\u8d1f\u8d23\u201c\u8ba4\u8bc1 \u201d \u6216\u201c\u6570\u636e\u4f20\u8f93\u201d\u3002<\/p>\n\n\n\n<p>\u4e3a\u4e86\u7b97\u6cd5\u7684\u7b80\u5355\u6027\u548c\u5b9e\u9645\u5b9e\u73b0\uff0c\u53ea\u8003\u8651 4 \u4e2a\u53d8\u91cf\uff0c\u4e00\u4e2a\u5927\u8d28\u6570 P \u548c G\uff08P \u7684\u5143\u6839\uff09\u548c\u4e24\u4e2a\u79c1\u94a5\u503c a \u548c b\u3002<br>P\u548cG\u90fd\u662f\u516c\u5f00\u53ef\u7528\u7684\u6570\u5b57\u3002\u7528\u6237\uff08\u6bd4\u5982 Alice \u548c Bob\uff09\u9009\u62e9\u79c1\u6709\u503c a \u548c b\uff0c\u7136\u540e\u751f\u6210\u5bc6\u94a5\u5e76\u516c\u5f00\u4ea4\u6362\u3002\u5bf9\u65b9\u6536\u5230\u5bc6\u94a5\u5e76\u751f\u6210\u4e00\u4e2a\u5bc6\u94a5\uff0c\u4e4b\u540e\u4ed6\u4eec\u4f7f\u7528\u76f8\u540c\u7684\u5bc6\u94a5\u8fdb\u884c\u52a0\u5bc6\u3002<\/p>\n\n\n\n<p>D-H\u7b97\u6cd5\u793a\u4f8b\u4ee3\u7801\uff08Go\uff09\uff1a<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>\/\/ \u5b9e\u73b0 a^b mod P\nfunc power(a, b, p int) int {\n\tif b == 1 {\n\t\treturn a\n\t} else {\n\t\tpow := int(math.Pow(float64(a), float64(b)))\n\t\treturn pow % p\n\t}\n}\n\nfunc main() {\n\tvar P int \/\/ public key P \uff08\u5927\u8d28\u6570\uff09\uff1a\u7528\u4f5c\u6a21\u8fd0\u7b97\u7684\u57fa\u6570\uff0c\u9650\u5236\u8ba1\u7b97\u8303\u56f4\uff0c\u9632\u6b62\u6570\u503c\u8fc7\u5927\n\tvar G int \/\/ public key G \uff08\u539f\u6839\uff09\uff1a\u662f\u4e00\u4e2a\u751f\u6210\u5143\uff0c\u5b83\u7684\u4e0d\u540c\u6307\u6570\u5e42\u53ef\u4ee5\u751f\u6210\u4e0d\u540c\u7684\u6570\uff0c\u786e\u4fdd\u5bc6\u94a5\u4ea4\u6362\u7684\u5b89\u5168\u6027\n\tP, G = 21, 9\n\n\tvar a int \/\/ a's private key\n\tvar b int \/\/ b's private key\n\ta, b = 4, 5\n\n\tvar x int\n\tvar y int\n\n\tx = power(G, a, P)\n\ty = power(G, b, P)\n\tfmt.Println(\"x,y\", x, y)\n\n\tka := power(y, a, P) \/\/ secret key for a\n\tkb := power(x, b, P) \/\/ secret key for b\n\tfmt.Println(\"ka,kb\", ka, kb)\n}<\/code><\/pre>\n\n\n\n<p>\u4ee3\u7801\u89e3\u91ca\uff1a<\/p>\n\n\n\n<p>\u7b2c 1 \u6b65\uff1aA \u548c B \u83b7\u53d6\u516c\u5171\u53f7\u7801 P = 23\uff0cG = 9<br>\u7b2c 2 \u6b65\uff1aA \u9009\u62e9\u4e86\u4e00\u4e2a\u79c1\u94a5 a = 4 \u548c<br>B \u9009\u62e9\u4e86\u4e00\u4e2a\u79c1\u6709\u5bc6\u94a5 b = 5<br>\u7b2c 3 \u6b65\uff1aA \u548c B \u8ba1\u7b97\u516c\u5171\u503c<br>A\uff1a x =\uff089^4 mod 23\uff09 = \uff086561 mod 23\uff09 = 6<br>B\uff1a y = \uff089^3 mod 23\uff09 = \uff08729 mod 23\uff09 = 16<br>\u7b2c 4 \u6b65\uff1aA\u548cB\u4ea4\u6362\u516c\u5171\u53f7\u7801<br>\u7b2c 5 \u6b65\uff1aA\u6536\u5230\u516c\u94a5y =16\u548cB\u6536\u5230\u516c\u94a5 x = 6<br>\u6b65\u9aa4 6\uff1aA\u548cB\u8ba1\u7b97\u5bf9\u79f0\u5bc6\u94a5<br>A\uff1aka = y^a mod p = 65536 mod 23 = 9<br>B\uff1a kb = x^b mod p = 216 mod 23 = 9<br>\u7b2c 7 \u6b65\uff1a9 \u662f\u5171\u4eab\u5bc6\u94a5\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">RSA<\/h2>\n\n\n\n<p>\u975e\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5\u3002\u516c\u94a5\u548c\u79c1\u94a5\u662f\u4e00\u5bf9\uff0c\u5982\u679c\u7528\u516c\u94a5\u52a0\u5bc6\uff0c\u53ea\u6709\u5bf9\u5e94\u7684\u79c1\u94a5\u624d\u80fd\u89e3\u5bc6\uff1b\u5982\u679c\u7528\u79c1\u94a5\u52a0\u5bc6\uff0c\u53ea\u6709\u5bf9\u5e94\u7684\u516c\u94a5\u624d\u80fd\u89e3\u5bc6\u3002<\/p>\n\n\n\n<p>\u7531\u4e8e\u8d44\u6e90\u6d88\u8017\u8f83\u5927\u4e14\u8fd0\u7b97\u6548\u7387\u8f83\u4f4e\uff0cRSA \u52a0\u5bc6\u7b97\u6cd5\u5e76\u4e0d\u9002\u5408\u7528\u4e8e\u5bf9\u6574\u4e2a\u6d88\u606f\u6216\u6587\u4ef6\u8fdb\u884c\u52a0\u5bc6\u3002\u56e0\u6b64\uff0c\u5b9e\u9645\u5e94\u7528\u4e2d\u901a\u5e38\u5c06 RSA \u4e0e\u5176\u4ed6\u52a0\u5bc6\u673a\u5236\u7ed3\u5408\u4f7f\u7528\uff0c\u4f8b\u5982\u7528\u4e8e\u52a0\u5bc6\u5bf9\u79f0\u5bc6\u94a5\uff0c\u6216\u7528\u4e8e\u751f\u6210\u6570\u5b57\u7b7e\u540d\u4ee5\u786e\u4fdd\u6d88\u606f\u7684\u5b8c\u6574\u6027\u4e0e\u771f\u5b9e\u6027\u3002<\/p>\n\n\n\n<p>\u6570\u5b57\u7b7e\u540d\u5728\u8eab\u4efd\u8ba4\u8bc1\u548c\u6587\u4ef6\u9a8c\u8bc1\u65b9\u9762\u5177\u6709\u91cd\u8981\u4f5c\u7528\u3002\u901a\u8fc7\u9632\u6b62\u6570\u636e\u5728\u4f20\u8f93\u8fc7\u7a0b\u4e2d\u88ab\u7be1\u6539\u6216\u4f2a\u9020\uff0c\u6570\u5b57\u7b7e\u540d\u63d0\u9ad8\u4e86\u654f\u611f\u6587\u6863\u7684\u5b89\u5168\u6027\u3002\u5176\u5de5\u4f5c\u673a\u5236\u57fa\u4e8e\u975e\u5bf9\u79f0\u52a0\u5bc6\uff1a\u53d1\u9001\u65b9\u4f7f\u7528\u79c1\u94a5\u5bf9\u54c8\u5e0c\u503c\u8fdb\u884c\u7b7e\u540d\uff0c\u63a5\u6536\u65b9\u5219\u4f7f\u7528\u76f8\u5e94\u7684\u516c\u94a5\u9a8c\u8bc1\u7b7e\u540d\u7684\u5408\u6cd5\u6027\uff0c\u4ece\u800c\u786e\u8ba4\u6d88\u606f\u6765\u6e90\u53ca\u5176\u672a\u88ab\u7be1\u6539\u3002<\/p>\n\n\n\n<p>\u5728\u52a0\u5bc6\u5e94\u7528\u4e2d\uff0c\u7528\u6237\u901a\u5e38\u91c7\u7528 \u6df7\u5408\u52a0\u5bc6\u7b56\u7565\uff1a\u4f7f\u7528\u5bf9\u79f0\u52a0\u5bc6\u7b97\u6cd5\uff08\u5982 AES\uff09\u5bf9\u5b9e\u9645\u6570\u636e\u52a0\u5bc6\uff0c\u518d\u4f7f\u7528 RSA \u516c\u94a5\u5bf9\u5bf9\u79f0\u5bc6\u94a5\u8fdb\u884c\u52a0\u5bc6\u3002\u63a5\u6536\u65b9\u53ea\u6709\u5728\u62e5\u6709 RSA \u79c1\u94a5\u7684\u524d\u63d0\u4e0b\uff0c\u624d\u80fd\u89e3\u5bc6\u8be5\u5bf9\u79f0\u5bc6\u94a5\uff0c\u5e76\u8fdb\u4e00\u6b65\u8bbf\u95ee\u539f\u59cb\u6d88\u606f\u5185\u5bb9\u3002<\/p>\n\n\n\n<p>RSA \u52a0\u5bc6\u5df2\u88ab\u5e7f\u6cdb\u96c6\u6210\u5230\u591a\u4e2a\u7cfb\u7edf\u548c\u52a0\u5bc6\u5e93\u4e2d\uff0c\u5982 OpenSSL\u3001cryptlib\u3001wolfCrypt \u7b49\uff0c\u4ea6\u5e7f\u6cdb\u5e94\u7528\u4e8e Web \u6d4f\u89c8\u5668\u3001\u7535\u5b50\u90ae\u4ef6\u901a\u4fe1\u3001VPN \u548c\u5176\u4ed6\u7f51\u7edc\u534f\u8bae\u4e2d\u3002<\/p>\n\n\n\n<p>\u5728 VPN \u573a\u666f\u4e2d\uff0cRSA \u5c24\u5176\u7528\u4e8e\u5ba2\u6237\u7aef\u4e0e\u670d\u52a1\u5668\u4e4b\u95f4\u7684 \u5b89\u5168\u5bc6\u94a5\u4ea4\u6362\u3002\u4ee5 OpenVPN \u534f\u8bae\u4e3a\u4f8b\uff0cRSA \u53ef\u7528\u4e8e TLS \u63e1\u624b\u9636\u6bb5\uff0c\u786e\u4fdd\u5bc6\u94a5\u4ea4\u6362\u8fc7\u7a0b\u7684\u673a\u5bc6\u6027\u548c\u53cc\u65b9\u8eab\u4efd\u7684\u53ef\u4fe1\u6027\uff0c\u4ece\u800c\u5efa\u7acb\u4e00\u4e2a\u5b89\u5168\u7684\u6570\u636e\u901a\u4fe1\u901a\u9053\u3002<\/p>\n\n\n\n<p>\u52a0\u5bc6\u8fc7\u7a0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u53d1\u9001\u65b9<\/strong>\u83b7\u53d6\u63a5\u6536\u65b9\u7684<strong>\u516c\u94a5<\/strong>\u3002<\/li>\n\n\n\n<li>\u5c06\u8981\u53d1\u9001\u7684\u6d88\u606f\u8fdb\u884c\u7f16\u7801\uff08\u8f6c\u6210\u6570\u5b57\u5f62\u5f0f\uff09\u3002<\/li>\n\n\n\n<li>\u4f7f\u7528\u63a5\u6536\u65b9\u7684\u516c\u94a5\u5bf9\u8fd9\u4e2a\u6570\u5b57\u8fdb\u884c\u52a0\u5bc6\uff0c\u5f97\u5230\u5bc6\u6587\u3002<\/li>\n\n\n\n<li>\u5c06\u5bc6\u6587\u53d1\u9001\u51fa\u53bb\u3002<\/li>\n<\/ol>\n\n\n\n<p>\u89e3\u5bc6\u8fc7\u7a0b\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u63a5\u6536\u65b9<\/strong>\u6536\u5230\u5bc6\u6587\u540e\uff0c\u4f7f\u7528\u81ea\u5df1\u7684<strong>\u79c1\u94a5<\/strong>\u8fdb\u884c\u89e3\u5bc6\u3002<\/li>\n\n\n\n<li>\u89e3\u5bc6\u540e\u7684\u7ed3\u679c\u5c31\u662f\u539f\u59cb\u6d88\u606f\u3002<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">AES<\/h2>\n\n\n\n<p>AES-128\u52a0\u5bc6\u8fc7\u7a0b\uff1a<\/p>\n\n\n\n<p><strong>\u521d\u59cb\u8f6e\uff08\u9884\u5904\u7406\uff09<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u5c06\u5bc6\u94a5\u4e0e\u539f\u59cb\u6570\u636e\u8fdb\u884c\u4e00\u6b21\u521d\u6b65\u7684\u5f02\u6216\u6df7\u5408\uff08\u53eb\u505a\u8f6e\u5bc6\u94a5\u52a0\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u4e3b\u8f6e\uff089 \u8f6e\uff09<\/strong>\uff1a \u6bcf\u4e00\u8f6e\u5305\u542b\u4ee5\u4e0b 4 \u4e2a\u6b65\u9aa4\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u5b57\u8282\u4ee3\u6362\uff08SubBytes\uff09<\/strong>\uff1a\u5bf9\u6bcf\u4e2a\u5b57\u8282\u505a\u66ff\u6362\uff0c\u4f7f\u7528\u4e00\u4e2a\u56fa\u5b9a\u7684\u66ff\u6362\u8868\uff08S\u76d2\uff09\uff0c\u589e\u52a0\u6df7\u6dc6\u3002<\/li>\n\n\n\n<li><strong>\u884c\u79fb\u4f4d\uff08ShiftRows\uff09<\/strong>\uff1a\u5c06\u6bcf\u4e00\u884c\u7684\u5b57\u8282\u5411\u5de6\u5faa\u73af\u79fb\u52a8\u4e0d\u540c\u7684\u4f4d\u6570\uff0c\u6253\u4e71\u4f4d\u7f6e\uff0c\u589e\u52a0\u6269\u6563\u3002<\/li>\n\n\n\n<li><strong>\u5217\u6df7\u6dc6\uff08MixColumns\uff09<\/strong>\uff1a\u5bf9\u6bcf\u4e00\u5217\u7684\u6570\u636e\u8fdb\u884c\u6570\u5b66\u53d8\u6362\uff0c\u8fdb\u4e00\u6b65\u6253\u4e71\u6570\u636e\u7ed3\u6784\u3002<\/li>\n\n\n\n<li><strong>\u8f6e\u5bc6\u94a5\u52a0\uff08AddRoundKey\uff09<\/strong>\uff1a\u5c06\u5f53\u524d\u8f6e\u7684\u5bc6\u94a5\u4e0e\u6570\u636e\u5757\u518d\u6b21\u6df7\u5408\uff08\u5f02\u6216\u8fd0\u7b97\uff09\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u6700\u540e\u4e00\u8f6e\uff08\u7b2c10\u8f6e\uff09<\/strong>\uff1a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u540c\u6837\u8fdb\u884c\u5b57\u8282\u4ee3\u6362\u3001\u884c\u79fb\u4f4d\u548c\u8f6e\u5bc6\u94a5\u52a0\uff0c\u4f46<strong>\u4e0d\u6267\u884c\u5217\u6df7\u6dc6<\/strong>\u3002<\/li>\n<\/ul>\n\n\n\n<p>AES-128\u89e3\u5bc6\u8fc7\u7a0b\u57fa\u672c\u4e0a\u662f\u52a0\u5bc6\u7684\u53cd\u5411\u64cd\u4f5c\uff0c\u4e5f\u9700\u8981\u4f7f\u7528<strong>\u76f8\u540c\u7684\u5bc6\u94a5<\/strong>\uff0c\u4f46\u5404\u6b65\u9aa4\u987a\u5e8f\u548c\u5904\u7406\u65b9\u6cd5\u521a\u597d\u76f8\u53cd\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">RSA\u4e0eAES\u533a\u522b<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><th>\u7279\u6027<\/th><th><strong>RSA<\/strong><\/th><th><strong>AES<\/strong><\/th><\/tr><\/thead><tbody><tr><td>\ud83d\udd11 \u52a0\u5bc6\u65b9\u5f0f<\/td><td><strong>\u975e\u5bf9\u79f0\u52a0\u5bc6<\/strong>\uff08\u516c\u94a5 &amp; \u79c1\u94a5\uff09<\/td><td><strong>\u5bf9\u79f0\u52a0\u5bc6<\/strong>\uff08\u540c\u4e00\u4e2a\u5bc6\u94a5\uff09<\/td><\/tr><tr><td>\ud83e\udde0 \u57fa\u672c\u539f\u7406<\/td><td>\u6570\u5b66\u96be\u9898\uff08\u5927\u6570\u5206\u89e3\uff09<\/td><td>\u6570\u636e\u6df7\u6dc6\u4e0e\u6269\u6563\uff08\u4ee3\u6570\u7ed3\u6784\u53d8\u6362\uff09<\/td><\/tr><tr><td>\ud83d\udce6 \u5bc6\u94a5\u7c7b\u578b<\/td><td>\u4e00\u5bf9\u5bc6\u94a5\uff1a\u516c\u94a5 + \u79c1\u94a5<\/td><td>\u5355\u4e00\u5bc6\u94a5<\/td><\/tr><tr><td>\u23f1\ufe0f \u901f\u5ea6<\/td><td>\u6162\uff08\u9002\u5408\u52a0\u5bc6\u5c0f\u6570\u636e\uff09<\/td><td>\u5feb\uff08\u9002\u5408\u52a0\u5bc6\u5927\u91cf\u6570\u636e\uff09<\/td><\/tr><tr><td>\ud83e\uddfe \u7528\u9014<\/td><td>\u5bc6\u94a5\u4ea4\u6362\u3001\u6570\u5b57\u7b7e\u540d<\/td><td>\u6570\u636e\u52a0\u5bc6<\/td><\/tr><tr><td>\ud83d\udd10 \u5b89\u5168\u5f3a\u5ea6<\/td><td>\u5b89\u5168\u6027\u53d6\u51b3\u4e8e\u5bc6\u94a5\u957f\u5ea6\uff08\u901a\u5e38 \u22652048\u4f4d\uff09<\/td><td>\u975e\u5e38\u5b89\u5168\uff08128\/192\/256\u4f4d\uff09<\/td><\/tr><tr><td>\ud83d\udee0 \u5e94\u7528\u573a\u666f<\/td><td>HTTPS \u63e1\u624b\u3001SSH \u767b\u5f55\u3001\u8bc1\u4e66\u7b7e\u540d<\/td><td>\u6587\u4ef6\u52a0\u5bc6\u3001VPN\u3001\u6570\u636e\u5e93\u52a0\u5bc6<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h2 class=\"wp-block-heading\">ECDSA <\/h2>\n\n\n\n<p>\uff08Elliptic curve digital signature algorithm\uff09\u692d\u5706\u66f2\u7ebf\u6570\u5b57\u7b7e\u540d\u7b97\u6cd5<\/p>\n\n\n\n<p>ECDSA\u57fa\u4e8e\u692d\u5706\u66f2\u7ebf\u5bc6\u7801\u5b66\uff08Elliptic Curve Cryptography\uff0c\u7b80\u79f0ECC\uff09\u3002ECC\u662f\u4e00\u79cd\u516c\u94a5\u5bc6\u7801\u5b66\u65b9\u6cd5\uff0c\u5176\u539f\u7406\u5efa\u7acb\u5728\u6709\u9650\u57df\u4e0a\u7684\u692d\u5706\u66f2\u7ebf\u4ee3\u6570\u7ed3\u6784\u4e4b\u4e0a\u3002\u4e0e\u4f20\u7edf\u7684\u516c\u94a5\u52a0\u5bc6\u65b9\u6cd5\uff0c\u5982RSA\uff08Rivest-Shamir-Adleman\uff09\uff0c\u76f8\u6bd4\uff0cECC\u63d0\u4f9b\u4e86\u591a\u79cd\u4f18\u52bf\uff0c\u5305\u62ec\u66f4\u5c0f\u7684\u5bc6\u94a5\u5c3a\u5bf8\u3001\u66f4\u5feb\u7684\u8ba1\u7b97\u901f\u5ea6\uff0c\u4ee5\u53ca\u5728\u76f8\u540c\u5bc6\u94a5\u957f\u5ea6\u4e0b\u66f4\u9ad8\u7684\u5b89\u5168\u6027\u3002<\/p>\n\n\n\n<p>\u692d\u5706\u66f2\u7ebf\u901a\u8fc7\u4e00\u4e2a\u6570\u5b66\u65b9\u7a0b\u6765\u5b9a\u4e49\uff0c\u5f62\u5f0f\u4e3a\uff1a<\/p>\n\n\n\n<p class=\"has-text-align-center\"> <strong>y^2 = x^3 + ax + b<\/strong><\/p>\n\n\n\n<p>\u5176\u4e2da\u548cb\u662f\u5e38\u6570\u3002\u6240\u6709\u6ee1\u8db3\u8be5\u65b9\u7a0b\u7684\u70b9\uff08x\uff0cy\uff09\uff0c\u4ee5\u53ca\u4e00\u4e2a\u88ab\u79f0\u4e3a\u201c\u65e0\u7a77\u8fdc\u201d\u7684\u7279\u6b8a\u70b9\uff0c\u7ec4\u6210\u4e86\u692d\u5706\u66f2\u7ebf\u7684\u4e00\u4e2a\u7fa4\u4f53\u3002ECC\u7684\u5b89\u5168\u6027\u4f9d\u8d56\u4e8e\u79bb\u6563\u5bf9\u6570<strong>\u95ee\u9898<\/strong>\uff0c\u800c\u5728\u692d\u5706\u66f2\u7ebf\u4e0a\u89e3\u51b3\u8fd9\u4e2a\u95ee\u9898\u88ab\u8ba4\u4e3a\u662f\u8ba1\u7b97\u4e0a\u4e0d\u53ef\u884c\u7684\uff0c\u4ece\u800c\u786e\u4fdd\u4e86\u5176\u52a0\u5bc6\u7684\u5b89\u5168\u6027\u3002<\/p>\n\n\n\n<p>\u5728ECDSA\u4e2d\uff0c\u6bcf\u4e2a\u7528\u6237\u751f\u6210\u4e00\u5bf9\u516c\u94a5\u548c\u79c1\u94a5\uff0c\u7528\u4e8e\u6570\u5b57\u7b7e\u540d\u7684\u7b7e\u7f72\u4e0e\u9a8c\u8bc1\u3002\u5bc6\u94a5\u751f\u6210\u7684\u8fc7\u7a0b\u5305\u62ec\u4ee5\u4e0b\u6b65\u9aa4\uff1a<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>\u9009\u62e9\u4e00\u6761\u5408\u9002\u7684\u692d\u5706\u66f2\u7ebf\uff0c\u5e76\u6307\u5b9a\u8be5\u66f2\u7ebf\u4e0a\u7684\u4e00\u4e2a\u70b9 GGG \u4f5c\u4e3a\u57fa\u70b9\uff0c\u540c\u65f6\u5b9a\u4e49n\u4e3a\u70b9G\u7684\u9636\uff0c\u5176\u4e2dn\u662f\u4e00\u4e2a\u5927\u8d28\u6570\u3002\u57fa\u70b9G\u548c\u9636\u6570n\u662f\u516c\u5f00\u7684\uff0c\u5e76\u4e14\u5728\u6240\u6709\u7528\u6237\u4e4b\u95f4\u5171\u4eab\u3002<\/li>\n\n\n\n<li>\u4ece1\u5230n\u22121\u7684\u8303\u56f4\u5185\u968f\u673a\u9009\u62e9\u4e00\u4e2a\u6574\u6570d\u3002\u8fd9\u4e2a\u6574\u6570d\u88ab\u4f5c\u4e3a\u79c1\u94a5\u3002<\/li>\n\n\n\n<li>\u8ba1\u7b97\u516c\u94a5Q=dG\uff0c\u5176\u4e2dQ\u662f\u692d\u5706\u66f2\u7ebf\u4e0a\u7684\u4e00\u4e2a\u70b9\u3002\u8fd9\u4e2a\u6b65\u9aa4\u4f7f\u7528\u4e86<strong>\u6807\u91cf\u4e58\u6cd5<\/strong>\uff0c\u5373\u91cd\u590d\u5c06\u57fa\u70b9G\u4e0e\u81ea\u8eab\u76f8\u52a0d\u6b21\u3002\u6807\u91cf\u4e58\u6cd5\u662f\u692d\u5706\u66f2\u7ebf\u5bc6\u7801\u5b66\u4e2d\u7684\u6838\u5fc3\u8fd0\u7b97\u3002<\/li>\n<\/ol>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Diffie-Hellman Diffie-Hellman\uff08D-H\uff09\u662f\u4e00\u79cd\u201c\u5bc6\u94a5\u4ea4\u6362\u534f\u8bae\u201c\uff0c\u4e3b\u8981\u7528\u4e8e\u5b89\u5168\u5730\u751f\u6210 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[5],"tags":[],"class_list":["post-131","post","type-post","status-publish","format-standard","hentry","category-knowledge"],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/ziyuan.work\/index.php?rest_route=\/wp\/v2\/posts\/131","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ziyuan.work\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ziyuan.work\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ziyuan.work\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ziyuan.work\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=131"}],"version-history":[{"count":41,"href":"https:\/\/ziyuan.work\/index.php?rest_route=\/wp\/v2\/posts\/131\/revisions"}],"predecessor-version":[{"id":251,"href":"https:\/\/ziyuan.work\/index.php?rest_route=\/wp\/v2\/posts\/131\/revisions\/251"}],"wp:attachment":[{"href":"https:\/\/ziyuan.work\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=131"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ziyuan.work\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=131"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ziyuan.work\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=131"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}