{"id":90769,"date":"2026-08-05T22:48:38","date_gmt":"2026-08-05T14:48:38","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/90769.html"},"modified":"2026-08-05T22:48:38","modified_gmt":"2026-08-05T14:48:38","slug":"%e4%b8%80%e8%a1%8c%e4%bb%a3%e7%a0%81%e7%bc%ba%e5%a4%b1%ef%bc%8c%e5%8d%83%e4%b8%87%e7%be%8e%e5%85%83%e8%92%b8%e5%8f%91-secondfi-%e9%92%b1%e5%8c%85-ed25519-%e7%ad%be%e5%90%8d%e6%bc%8f%e6%b4%9e%e5%85%a8","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/90769.html","title":{"rendered":"\u4e00\u884c\u4ee3\u7801\u7f3a\u5931\uff0c\u5343\u4e07\u7f8e\u5143\u84b8\u53d1: SecondFi \u94b1\u5305 Ed25519 \u7b7e\u540d\u6f0f\u6d1e\u5168\u89e3\u5bc6"},"content":{"rendered":"<h2>SecondFi \u94b1\u5305\u4e8b\u4ef6&#xff1a;\u4e00\u4efd\u9762\u5411\u5f00\u53d1\u8005\u7684\u52a0\u5bc6\u5b66\u4e8b\u540e\u5256\u6790<\/h2>\n<h3>\u80cc\u666f<\/h3>\n<p>2026 \u5e74 6 \u6708 21 \u65e5\u81f3 23 \u65e5&#xff0c;SecondFi&#xff08;\u539f Yoroi&#xff09;Cardano \u94b1\u5305\u4e2d\u7684\u4e00\u4e2a\u81f4\u547d\u6f0f\u6d1e\u5bfc\u81f4\u7ea6 1610 \u4e07 ADA&#xff08;\u5f53\u65f6\u4ef7\u503c\u7ea6 240 \u4e07\u7f8e\u5143&#xff09;\u4ece 374 \u4e2a\u7528\u6237\u94b1\u5305\u4e2d\u88ab\u76d7\u3002\u6839\u6e90&#xff1f;\u4ec5\u4ec5\u662f\u5728 Ed25519 \u7b7e\u540d\u5b9e\u73b0\u4e2d\u5c11\u5199\u4e86\u4e00\u884c\u4ee3\u7801\u3002<\/p>\n<p>\u4f5c\u4e3a\u5f00\u53d1\u8005&#xff0c;\u6211\u4eec\u5e38\u5e38\u628a\u52a0\u5bc6\u5e93\u5f53\u4f5c\u9ed1\u76d2\u6765\u7528\u3002\u8fd9\u6b21\u4e8b\u4ef6\u6b8b\u9177\u5730\u63d0\u9192\u6211\u4eec&#xff1a;\u5982\u4f55\u4f7f\u7528\u52a0\u5bc6\u539f\u8bed&#xff0c;\u548c\u539f\u8bed\u672c\u8eab\u540c\u6837\u91cd\u8981\u3002\u8ba9\u6211\u4eec\u4e00\u6b65\u6b65\u62c6\u89e3\u5230\u5e95\u51fa\u4e86\u4ec0\u4e48\u95ee\u9898\u3001\u4e3a\u4ec0\u4e48\u4f1a\u53d1\u751f&#xff0c;\u4ee5\u53ca\u5982\u4f55\u907f\u514d\u91cd\u8e48\u8986\u8f99\u3002<\/p>\n<hr \/>\n<h3>\u6280\u672f\u62c6\u89e3<\/h3>\n<h4>Ed25519 \u7b7e\u540d\u672c\u8be5\u600e\u4e48\u505a<\/h4>\n<p>Ed25519 \u662f RFC 8032 \u5b9a\u4e49\u7684\u4e00\u79cd\u786e\u5b9a\u6027\u7b7e\u540d\u65b9\u6848\u3002\u4e0e ECDSA&#xff08;\u5176\u968f\u673a\u6570\u91cd\u7528\u5df2\u662f\u4f17\u6240\u5468\u77e5\u7684\u707e\u96be&#xff09;\u4e0d\u540c&#xff0c;Ed25519 \u7684\u8bbe\u8ba1\u521d\u8877\u5c31\u662f\u5f7b\u5e95\u6d88\u9664\u968f\u673a\u6570\u5931\u8d25\u7684\u98ce\u9669, \u5b83\u4ece\u79c1\u94a5\u6750\u6599\u548c\u6d88\u606f\u4e2d\u786e\u5b9a\u6027\u5730\u6d3e\u751f\u51fa\u4e34\u65f6\u968f\u673a\u6570&#xff08;nonce&#xff09;\u3002<\/p>\n<p>\u5bf9\u4e8e Cardano \u7684\u6269\u5c55 Ed25519 \u53d8\u4f53&#xff0c;\u94b1\u5305\u5b58\u50a8\u4e00\u4e2a 64 \u5b57\u8282\u7684\u6269\u5c55\u79c1\u94a5&#xff0c;\u5206\u4e3a\u4e24\u90e8\u5206&#xff1a;<\/p>\n<ul>\n<li>kL&#xff08;\u7b2c 0\u201331 \u5b57\u8282&#xff09;&#xff1a;\u7b7e\u540d\u6807\u91cf<\/li>\n<li>kR&#xff08;\u7b2c 32\u201363 \u5b57\u8282&#xff09;&#xff1a;\u79d8\u5bc6\u968f\u673a\u6570\u540e\u7f00&#xff08;\u6bcf\u4e2a\u94b1\u5305\u72ec\u6709&#xff0c;\u6c38\u4e0d\u516c\u5f00&#xff09;<\/li>\n<\/ul>\n<p>\u6b63\u786e\u7684\u7b7e\u540d\u6d41\u7a0b\u5982\u4e0b&#xff1a;<\/p>\n<p>r &#061; SHA-512(kR || M) mod L    # \u968f\u673a\u6570\u7531\u79d8\u5bc6 &#043; \u6d88\u606f\u6d3e\u751f<br \/>\nR &#061; r * B                      # R \u662f\u516c\u5f00\u7684<br \/>\nk &#061; SHA-512(R || A || M) mod L # \u6311\u6218\u6807\u91cf<br \/>\nS &#061; (r &#043; k * kL) mod L         # \u7b7e\u540d\u5206\u91cf<\/p>\n<p>\u6700\u7ec8\u7b7e\u540d\u662f (R, S) \u5bf9\u3002\u8fd9\u4e2a\u8bbe\u8ba1\u5b89\u5168\u7684\u539f\u56e0&#xff1a;<\/p>\n<ul>\n<li>\u786e\u5b9a\u6027&#xff1a;\u540c\u4e00\u6d88\u606f &#043; \u540c\u4e00\u5bc6\u94a5 &#061; \u540c\u4e00\u7b7e\u540d&#xff08;\u65e0\u9700\u4f9d\u8d56 RNG&#xff09;<\/li>\n<li>\u79d8\u5bc6\u53c2\u4e0e&#xff1a;\u968f\u673a\u6570 r \u4f9d\u8d56 kR&#xff0c;\u800c kR \u6c38\u8fdc\u4e0d\u4f1a\u79bb\u5f00\u8bbe\u5907<\/li>\n<li>\u53ef\u9a8c\u8bc1&#xff1a;\u4efb\u4f55\u4eba\u90fd\u53ef\u901a\u8fc7 [S]B &#061; R &#043; [k]A \u9a8c\u8bc1&#xff0c;\u65e0\u9700\u77e5\u9053\u79c1\u94a5<\/li>\n<\/ul>\n<h4>SecondFi \u5b9e\u9645\u505a\u4e86\u4ec0\u4e48<\/h4>\n<p>SecondFi Android 10.0.3 \u7248\u672c\u5728\u4ece BIP32-Ed25519 \u6d3e\u751f\u5c42\u5411\u7b7e\u540d\u9002\u914d\u5668\u5c42\u4f20\u9012\u6570\u636e\u65f6&#xff0c;\u9057\u6f0f\u4e86\u5173\u952e\u7684 kR \u79d8\u5bc6\u524d\u7f00\u3002\u53ea\u6709\u7b7e\u540d\u6807\u91cf\u88ab\u4f20\u7ed9\u4e86\u5e95\u5c42\u7b7e\u540d\u5668\u3002<\/p>\n<p>\u6709\u7f3a\u9677\u7684\u5b9e\u73b0\u8ba1\u7b97\u968f\u673a\u6570\u7684\u65b9\u5f0f\u662f&#xff1a;<\/p>\n<p>r &#061; SHA-512(M) mod L<\/p>\n<p>\u4ec5\u6b64\u800c\u5df2\u3002\u6ca1\u6709\u4efb\u4f55\u79d8\u5bc6\u6210\u5206&#xff0c;\u53ea\u6709\u4ea4\u6613\u4f53\u54c8\u5e0c, \u800c\u8fd9\u662f\u94fe\u4e0a\u516c\u5f00\u53ef\u89c1\u7684\u3002<\/p>\n<h4>\u4e3a\u4ec0\u4e48\u8fd9\u662f\u707e\u96be\u6027\u7684<\/h4>\n<p>\u5f53\u968f\u673a\u6570\u53ef\u4ee5\u516c\u5f00\u8ba1\u7b97\u65f6&#xff0c;\u653b\u51fb\u8005\u53ea\u9700\u4e00\u6761\u94fe\u4e0a\u7b7e\u540d\u5c31\u80fd\u6062\u590d\u79c1\u94a5\u3002<\/p>\n<p>\u7ed9\u5b9a\u4efb\u4f55\u4ea4\u6613\u4e2d\u7684\u516c\u5f00\u503c&#xff1a;<\/p>\n<ul>\n<li>M&#xff1a;\u88ab\u7b7e\u540d\u7684\u6d88\u606f&#xff08;\u4ea4\u6613\u4f53&#xff09;<\/li>\n<li>R&#xff1a;\u516c\u5f00\u968f\u673a\u6570\u70b9<\/li>\n<li>A&#xff1a;\u516c\u94a5<\/li>\n<li>S&#xff1a;\u7b7e\u540d\u5206\u91cf<\/li>\n<\/ul>\n<p>\u653b\u51fb\u8005\u8ba1\u7b97&#xff1a;<\/p>\n<p>r &#061; SHA-512(M) mod L                    # \u548c\u6f0f\u6d1e\u7b7e\u540d\u5668\u4e00\u6837<br \/>\nk &#061; SHA-512(R || A || M) mod L          # \u548c\u9a8c\u8bc1\u5668\u4e00\u6837<br \/>\ns &#061; (S &#8211; r) * inverse(k) mod L          # \u6062\u590d\u79c1\u94a5<\/p>\n<p>\u4e00\u6761\u7b7e\u540d&#xff0c;\u4e00\u7b14\u4ea4\u6613&#xff0c;\u4f60\u7684\u79c1\u94a5\u5c31\u5f52\u522b\u4eba\u4e86\u3002<\/p>\n<p>\u5b89\u5168\u7814\u7a76\u5458 Charles Guillemet \u73b0\u573a\u6f14\u793a\u4e86\u8fd9\u4e00\u70b9&#xff1a;\u4ed6\u4ece\u4e3b\u7f51\u4e0a\u62c9\u53d6\u7b7e\u540d&#xff0c;\u4ec5\u51ed\u94fe\u4e0a\u4fe1\u606f\u5c31\u91cd\u5efa\u4e86\u79c1\u94a5\u3002<\/p>\n<hr \/>\n<h3>\u65f6\u95f4\u7ebf<\/h3>\n<table>\n<tr>\u65e5\u671f\u4e8b\u4ef6<\/tr>\n<tbody>\n<tr>\n<td>6 \u6708 8 \u65e5<\/td>\n<td>SecondFi Android 10.0.3 \u53d1\u5e03&#xff0c;\u5305\u542b\u6709\u7f3a\u9677\u7684\u7b7e\u540d\u5668<\/td>\n<\/tr>\n<tr>\n<td>6 \u6708 12 \u65e5<\/td>\n<td>\u65e9\u671f\u7528\u6237\u4ea4\u6613\u5df2\u7ecf\u5f00\u59cb\u6cc4\u9732\u5bc6\u94a5<\/td>\n<\/tr>\n<tr>\n<td>6 \u6708 21\u201323 \u65e5<\/td>\n<td>\u4e24\u4e2a\u72ec\u7acb\u653b\u51fb\u8005\u56e2\u4f19\u7cfb\u7edf\u6027\u6e05\u7a7a 374 \u4e2a\u94b1\u5305<\/td>\n<\/tr>\n<tr>\n<td>6 \u6708 22\u201323 \u65e5<\/td>\n<td>SecondFi \u627f\u8ba4\u95ee\u9898&#xff0c;\u8fdb\u5165\u7ef4\u62a4\u6a21\u5f0f<\/td>\n<\/tr>\n<tr>\n<td>6 \u6708 22 \u65e5<\/td>\n<td>SecondFi \u7d27\u6025\u5c06\u7ea6 1.29 \u4ebf ADA \u8f6c\u79fb\u81f3\u7b2c\u4e09\u65b9\u6258\u7ba1\u673a\u6784<\/td>\n<\/tr>\n<tr>\n<td>6 \u6708 24 \u65e5&#043;<\/td>\n<td>\u8865\u4e01\u53d1\u5e03<\/td>\n<\/tr>\n<tr>\n<td>7 \u6708 22 \u65e5<\/td>\n<td>SecondFi \u5ba3\u5e03\u6c38\u4e45\u5173\u95ed<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<h3>\u6839\u672c\u539f\u56e0&#xff1a;\u672a\u7ecf\u5ba1\u8ba1\u7684 SDK<\/h3>\n<p>\u6f0f\u6d1e\u662f\u5728 6 \u6708 8 \u65e5\u5f15\u5165\u7684&#xff0c;\u5f53\u65f6\u4e00\u4e2a\u540d\u4e3a trantor \u7684\u672a\u7ecf\u5ba1\u8ba1\u7684\u7b2c\u4e09\u65b9\u5b9e\u9a8c\u6027 SDK&#xff08;\u7531\u4e00\u540d\u72ec\u7acb\u5f00\u53d1\u8005\u53d1\u5e03\u5728 npm \u4e0a&#xff09;\u66ff\u6362\u4e86 EMURGO \u6b64\u524d\u5ba1\u8ba1\u8fc7\u7684\u7b7e\u540d\u6a21\u5757\u3002<\/p>\n<p>\u8fd9\u662f\u4e00\u4e2a\u5173\u952e\u7684\u6559\u8bad&#xff1a;\u7edd\u4e0d\u80fd\u5728\u751f\u4ea7\u73af\u5883\u4e2d\u7528\u672a\u7ecf\u5ba1\u8ba1\u7684\u4ee3\u7801\u66ff\u6362\u7ecf\u8fc7\u5ba1\u8ba1\u7684\u52a0\u5bc6\u4ee3\u7801, \u5c24\u5176\u4e0d\u80fd\u8df3\u8fc7\u5b8c\u6574\u7684\u5b89\u5168\u5ba1\u67e5\u3002<\/p>\n<p>Tibane Labs \u7684\u53d6\u8bc1\u62a5\u544a\u8bc1\u5b9e&#xff0c;\u6709\u6f0f\u6d1e\u7684\u7b7e\u540d\u5668\u6b63\u662f trantor SDK&#xff0c;\u5b83\u66ff\u6362\u4e86\u7ecf\u8fc7\u9a8c\u8bc1\u7684 EMURGO \u6784\u5efa\u7248\u672c\u3002\u95ee\u9898\u4e0d\u5728\u4e8e SDK \u672c\u8eab\u7684\u610f\u56fe&#xff0c;\u800c\u5728\u4e8e\u5b83\u5982\u4f55\u4e0e Cardano \u6269\u5c55 Ed25519 \u7b7e\u540d\u6d41\u7a0b\u96c6\u6210, \u79d8\u5bc6\u524d\u7f00\u6839\u672c\u6ca1\u6709\u901a\u8fc7\u9002\u914d\u5668\u5c42\u4f20\u9012\u3002<\/p>\n<hr \/>\n<h3>\u4ee3\u7801\u7ea7\u5206\u6790<\/h3>\n<h4>\u6709\u6f0f\u6d1e\u7684\u5b9e\u73b0&#xff08;\u7b80\u5316\u7248&#xff09;<\/h4>\n<p><span class=\"token keyword\">import<\/span> hashlib<\/p>\n<p><span class=\"token comment\"># \u6f0f\u6d1e&#xff1a;\u5b8c\u5168\u7701\u7565\u4e86\u79d8\u5bc6\u524d\u7f00 kR<\/span><br \/>\n<span class=\"token keyword\">def<\/span> <span class=\"token function\">flawed_sign<\/span><span class=\"token punctuation\">(<\/span>private_key_scalar<span class=\"token punctuation\">,<\/span> message<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token comment\"># \u7f3a\u5931&#xff1a;kR&#xff08;\u79d8\u5bc6\u968f\u673a\u6570\u524d\u7f00&#xff09;<\/span><br \/>\n    <span class=\"token comment\"># \u672c\u5e94\u662f&#xff1a;r &#061; SHA512(kR || message) mod L<\/span><\/p>\n<p>    <span class=\"token comment\"># \u6709\u6f0f\u6d1e&#xff1a;\u968f\u673a\u6570\u53ea\u7531\u6d88\u606f\u6d3e\u751f<\/span><br \/>\n    r <span class=\"token operator\">&#061;<\/span> SHA512<span class=\"token punctuation\">(<\/span>message<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L          <span class=\"token comment\"># \u53ef\u516c\u5f00\u8ba1\u7b97&#xff01;<\/span><br \/>\n    R <span class=\"token operator\">&#061;<\/span> r <span class=\"token operator\">*<\/span> B<br \/>\n    k <span class=\"token operator\">&#061;<\/span> SHA512<span class=\"token punctuation\">(<\/span>R <span class=\"token operator\">|<\/span><span class=\"token operator\">|<\/span> public_key <span class=\"token operator\">|<\/span><span class=\"token operator\">|<\/span> message<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L<br \/>\n    S <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>r <span class=\"token operator\">&#043;<\/span> k <span class=\"token operator\">*<\/span> private_key_scalar<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L<br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span>R<span class=\"token punctuation\">,<\/span> S<span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u6b63\u786e\u7684\u5b9e\u73b0&#xff08;RFC 8032&#xff09;<\/h4>\n<p><span class=\"token keyword\">import<\/span> hashlib<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">correct_sign<\/span><span class=\"token punctuation\">(<\/span>extended_secret_key<span class=\"token punctuation\">,<\/span> message<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token comment\"># extended_secret_key &#061; kL (32 \u5b57\u8282) &#043; kR (32 \u5b57\u8282)<\/span><br \/>\n    kL <span class=\"token operator\">&#061;<\/span> extended_secret_key<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">:<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">]<\/span><br \/>\n    kR <span class=\"token operator\">&#061;<\/span> extended_secret_key<span class=\"token punctuation\">[<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">:<\/span><span class=\"token number\">64<\/span><span class=\"token punctuation\">]<\/span><\/p>\n<p>    <span class=\"token comment\"># \u6b63\u786e&#xff1a;\u968f\u673a\u6570\u7531\u79d8\u5bc6\u524d\u7f00 &#043; \u6d88\u606f\u6d3e\u751f<\/span><br \/>\n    r <span class=\"token operator\">&#061;<\/span> SHA512<span class=\"token punctuation\">(<\/span>kR <span class=\"token operator\">|<\/span><span class=\"token operator\">|<\/span> message<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L     <span class=\"token comment\"># \u79d8\u5bc6\u4e14\u4e0d\u53ef\u9884\u6d4b<\/span><br \/>\n    R <span class=\"token operator\">&#061;<\/span> r <span class=\"token operator\">*<\/span> B<br \/>\n    k <span class=\"token operator\">&#061;<\/span> SHA512<span class=\"token punctuation\">(<\/span>R <span class=\"token operator\">|<\/span><span class=\"token operator\">|<\/span> public_key <span class=\"token operator\">|<\/span><span class=\"token operator\">|<\/span> message<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L<br \/>\n    S <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>r <span class=\"token operator\">&#043;<\/span> k <span class=\"token operator\">*<\/span> kL<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L<br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token punctuation\">(<\/span>R<span class=\"token punctuation\">,<\/span> S<span class=\"token punctuation\">)<\/span><\/p>\n<h4>\u6982\u5ff5\u9a8c\u8bc1&#xff08;\u73a9\u5177\u793a\u4f8b&#xff09;<\/h4>\n<p>\u4e0b\u9762\u8fd9\u4e2a\u7b80\u5316\u7684 PoC \u5c55\u793a\u4e86\u6f0f\u6d1e\u539f\u7406&#xff1a;<\/p>\n<p><span class=\"token keyword\">import<\/span> hashlib<\/p>\n<p>L <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">2<\/span><span class=\"token operator\">**<\/span><span class=\"token number\">127<\/span> <span class=\"token operator\">&#8211;<\/span> <span class=\"token number\">1<\/span>  <span class=\"token comment\"># \u4e0d\u662f\u771f\u6b63\u7684 Ed25519 \u9636&#xff0c;\u4ec5\u4e3a\u6f14\u793a<\/span><\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">H<\/span><span class=\"token punctuation\">(<\/span><span class=\"token operator\">*<\/span>parts<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    h <span class=\"token operator\">&#061;<\/span> hashlib<span class=\"token punctuation\">.<\/span>sha512<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">for<\/span> p <span class=\"token keyword\">in<\/span> parts<span class=\"token punctuation\">:<\/span><br \/>\n        h<span class=\"token punctuation\">.<\/span>update<span class=\"token punctuation\">(<\/span>p <span class=\"token keyword\">if<\/span> <span class=\"token builtin\">isinstance<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">,<\/span> <span class=\"token builtin\">bytes<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token keyword\">else<\/span> <span class=\"token builtin\">str<\/span><span class=\"token punctuation\">(<\/span>p<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">.<\/span>encode<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token builtin\">int<\/span><span class=\"token punctuation\">.<\/span>from_bytes<span class=\"token punctuation\">(<\/span>h<span class=\"token punctuation\">.<\/span>digest<span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">,<\/span> <span class=\"token string\">&#034;little&#034;<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L<\/p>\n<p><span class=\"token keyword\">def<\/span> <span class=\"token function\">inv<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">:<\/span><br \/>\n    <span class=\"token keyword\">return<\/span> <span class=\"token builtin\">pow<\/span><span class=\"token punctuation\">(<\/span>x<span class=\"token punctuation\">,<\/span> <span class=\"token operator\">&#8211;<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">,<\/span> L<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u53d7\u5bb3\u8005\u7684\u79c1\u94a5&#xff08;\u73a9\u5177\u793a\u4f8b&#xff09;<\/span><br \/>\nsecret_s <span class=\"token operator\">&#061;<\/span> <span class=\"token number\">98765432123456789<\/span><br \/>\npublic_A <span class=\"token operator\">&#061;<\/span> secret_s  <span class=\"token comment\"># \u771f\u5b9e Ed25519 \u4e2d A &#061; s * B<\/span><br \/>\nM <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">b&#034;cardano tx body hash, toy example&#034;<\/span><\/p>\n<p><span class=\"token comment\"># \u6f0f\u6d1e\u7b7e\u540d\u5668&#xff1a;\u524d\u7f00\u88ab\u4e22\u5f03&#xff0c;\u968f\u673a\u6570\u4ec5\u7531\u6d88\u606f\u51b3\u5b9a<\/span><br \/>\nr <span class=\"token operator\">&#061;<\/span> H<span class=\"token punctuation\">(<\/span>M<span class=\"token punctuation\">)<\/span><br \/>\nR <span class=\"token operator\">&#061;<\/span> r  <span class=\"token comment\"># \u771f\u5b9e Ed25519 \u4e2d R &#061; r * B<\/span><br \/>\nk <span class=\"token operator\">&#061;<\/span> H<span class=\"token punctuation\">(<\/span>R<span class=\"token punctuation\">,<\/span> public_A<span class=\"token punctuation\">,<\/span> M<span class=\"token punctuation\">)<\/span><br \/>\nS <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span>r <span class=\"token operator\">&#043;<\/span> k <span class=\"token operator\">*<\/span> secret_s<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L<\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;[\u53d7\u5bb3\u8005\u7b7e\u540d]&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;A &#061;&#034;<\/span><span class=\"token punctuation\">,<\/span> public_A<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;R &#061;&#034;<\/span><span class=\"token punctuation\">,<\/span> R<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;S &#061;&#034;<\/span><span class=\"token punctuation\">,<\/span> S<span class=\"token punctuation\">)<\/span><\/p>\n<p><span class=\"token comment\"># \u653b\u51fb\u8005&#xff1a;\u4ece\u516c\u5f00\u6570\u636e\u6062\u590d\u79c1\u94a5<\/span><br \/>\nr_public <span class=\"token operator\">&#061;<\/span> H<span class=\"token punctuation\">(<\/span>M<span class=\"token punctuation\">)<\/span><br \/>\nrecovered_s <span class=\"token operator\">&#061;<\/span> <span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">(<\/span>S <span class=\"token operator\">&#8211;<\/span> r_public<span class=\"token punctuation\">)<\/span> <span class=\"token operator\">*<\/span> inv<span class=\"token punctuation\">(<\/span>k<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token operator\">%<\/span> L<\/p>\n<p><span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\\\\n[\u653b\u51fb\u8005]&#034;<\/span><span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u6062\u590d\u51fa\u7684\u79c1\u94a5:&#034;<\/span><span class=\"token punctuation\">,<\/span> recovered_s<span class=\"token punctuation\">)<\/span><br \/>\n<span class=\"token keyword\">print<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">&#034;\u5339\u914d:&#034;<\/span><span class=\"token punctuation\">,<\/span> recovered_s <span class=\"token operator\">&#061;&#061;<\/span> secret_s<span class=\"token punctuation\">)<\/span><\/p>\n<hr \/>\n<h3>\u4fee\u590d\u65b9\u6848&#xff1a;\u5e94\u8be5\u600e\u4e48\u505a<\/h3>\n<h4>1. \u4f7f\u7528\u7ecf\u8fc7\u5ba1\u8ba1\u7684\u5e93<\/h4>\n<p>\u6c38\u8fdc\u4e0d\u8981\u81ea\u5df1\u9020\u52a0\u5bc6\u8f6e\u5b50\u3002 \u4f7f\u7528\u6210\u719f\u3001\u5ba1\u8ba1\u8fc7\u7684\u5e93&#xff1a;<\/p>\n<ul>\n<li>Rust&#xff1a;ed25519-dalek&#xff08;\u6807\u51c6\u4e14\u7ecf\u8fc7\u5ba1\u8ba1\u7684\u5b9e\u73b0&#xff09;<\/li>\n<li>JavaScript\/TypeScript&#xff1a;&#064;noble\/ed25519 \u6216 tweetnacl<\/li>\n<li>Python&#xff1a;pynacl&#xff08;libsodium \u7ed1\u5b9a&#xff09;<\/li>\n<\/ul>\n<p>\u5bf9\u4e8e Cardano&#xff0c;\u8bf7\u4f7f\u7528 Cardano Serialization Library&#xff08;&#064;emurgo\/cardano-serialization-lib&#xff09;&#xff0c;\u5b83\u7ecf\u8fc7\u5ba1\u8ba1\u5e76\u9075\u5faa\u6b63\u786e\u7684\u6269\u5c55 Ed25519 \u89c4\u8303\u3002<\/p>\n<h4>2. \u5728\u6240\u6709\u5c42\u7ea7\u4fdd\u7559\u79d8\u5bc6\u524d\u7f00<\/h4>\n<p>\u5728\u901a\u8fc7\u9002\u914d\u5668\u5c42\u4f20\u9012\u5bc6\u94a5\u65f6&#xff0c;\u786e\u4fdd\u5b8c\u6574\u7684\u6269\u5c55\u79c1\u94a5&#xff08;kL \u548c kR \u4e24\u8005&#xff09;\u90fd\u4fdd\u7559&#xff1a;<\/p>\n<p><span class=\"token comment\">\/\/ \u6b63\u786e&#xff1a;\u4f20\u9012\u5b8c\u6574\u7684 64 \u5b57\u8282\u6269\u5c55\u79c1\u94a5<\/span><br \/>\n<span class=\"token keyword\">fn<\/span> <span class=\"token function-definition function\">sign_transaction<\/span><span class=\"token punctuation\">(<\/span>extended_secret<span class=\"token punctuation\">:<\/span> <span class=\"token operator\">&amp;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token keyword\">u8<\/span><span class=\"token punctuation\">;<\/span> <span class=\"token number\">64<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">,<\/span> message<span class=\"token punctuation\">:<\/span> <span class=\"token operator\">&amp;<\/span><span class=\"token punctuation\">[<\/span><span class=\"token keyword\">u8<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">-&gt;<\/span> <span class=\"token class-name\">Signature<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">let<\/span> kL <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&amp;<\/span>extended_secret<span class=\"token punctuation\">[<\/span><span class=\"token number\">0<\/span><span class=\"token punctuation\">..<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">let<\/span> kR <span class=\"token operator\">&#061;<\/span> <span class=\"token operator\">&amp;<\/span>extended_secret<span class=\"token punctuation\">[<\/span><span class=\"token number\">32<\/span><span class=\"token punctuation\">..<\/span><span class=\"token number\">64<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token comment\">\/\/ kR \u5fc5\u987b\u7528\u4e8e\u968f\u673a\u6570\u6d3e\u751f<\/span><br \/>\n    <span class=\"token keyword\">let<\/span> r <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">sha512<\/span><span class=\"token punctuation\">(<\/span>kR<span class=\"token punctuation\">,<\/span> message<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token comment\">\/\/ &#8230;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>3. \u7edd\u4e0d\u7528\u672a\u7ecf\u5ba1\u8ba1\u7684\u4ee3\u7801\u66ff\u6362\u5df2\u5ba1\u8ba1\u4ee3\u7801<\/h4>\n<p>trantor SDK \u5728 6 \u6708 8 \u65e5\u66ff\u6362\u4e86 EMURGO \u7684\u5ba1\u8ba1\u5b9e\u73b0\u3002\u8fd9\u79cd\u53d8\u66f4\u672c\u5e94\u89e6\u53d1&#xff1a;<\/p>\n<ul>\n<li>\u5b8c\u6574\u7684\u5b89\u5168\u5ba1\u67e5<\/li>\n<li>\u52a0\u5bc6\u6b63\u786e\u6027\u9a8c\u8bc1\u6d4b\u8bd5<\/li>\n<li>\u5206\u9636\u6bb5\u53d1\u5e03\u5e76\u4f34\u968f\u76d1\u63a7<\/li>\n<\/ul>\n<h4>4. \u5b9e\u65bd\u52a0\u5bc6\u6b63\u786e\u6027\u7684\u56de\u5f52\u6d4b\u8bd5<\/h4>\n<p>\u6d4b\u8bd5\u968f\u673a\u6570\u6d3e\u751f\u662f\u5426\u6b63\u786e&#xff1a;<\/p>\n<p><span class=\"token attribute attr-name\">#[test]<\/span><br \/>\n<span class=\"token keyword\">fn<\/span> <span class=\"token function-definition function\">test_nonce_derivation_includes_secret_prefix<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<\/span><br \/>\n    <span class=\"token keyword\">let<\/span> secret <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">generate_test_secret<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">let<\/span> message <span class=\"token operator\">&#061;<\/span> <span class=\"token string\">b&#034;test message&#034;<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token keyword\">let<\/span> sig1 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">sign<\/span><span class=\"token punctuation\">(<\/span>secret<span class=\"token punctuation\">,<\/span> message<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token keyword\">let<\/span> sig2 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">sign<\/span><span class=\"token punctuation\">(<\/span>secret<span class=\"token punctuation\">,<\/span> message<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u786e\u5b9a\u6027&#xff1a;\u540c\u4e00\u5bc6\u94a5 &#043; \u540c\u4e00\u6d88\u606f &#061; \u540c\u4e00\u7b7e\u540d<\/span><br \/>\n    <span class=\"token macro property\">assert_eq!<\/span><span class=\"token punctuation\">(<\/span>sig1<span class=\"token punctuation\">,<\/span> sig2<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u4e0d\u540c\u6d88\u606f\u5e94\u4ea7\u751f\u4e0d\u540c\u968f\u673a\u6570<\/span><br \/>\n    <span class=\"token keyword\">let<\/span> sig3 <span class=\"token operator\">&#061;<\/span> <span class=\"token function\">sign<\/span><span class=\"token punctuation\">(<\/span>secret<span class=\"token punctuation\">,<\/span> <span class=\"token string\">b&#034;different message&#034;<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><br \/>\n    <span class=\"token macro property\">assert_ne!<\/span><span class=\"token punctuation\">(<\/span>sig1<span class=\"token punctuation\">,<\/span> sig3<span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>    <span class=\"token comment\">\/\/ \u5173\u952e&#xff1a;\u9a8c\u8bc1\u968f\u673a\u6570\u4e0d\u662f\u7b80\u5355\u7684 SHA512(message)<\/span><br \/>\n    <span class=\"token comment\">\/\/ &#xff08;\u8fd9\u9700\u8981\u8bbf\u95ee\u5185\u90e8\u72b6\u6001\u6216\u5df2\u77e5\u7b54\u6848\u6d4b\u8bd5&#xff09;<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><\/p>\n<h4>5. \u5ba1\u8ba1\u6240\u6709\u7b2c\u4e09\u65b9\u4f9d\u8d56<\/h4>\n<p>trantor SDK \u7531\u4e00\u540d\u72ec\u7acb\u5f00\u53d1\u8005\u53d1\u5e03&#xff0c;\u4ece\u672a\u88ab\u5ba1\u8ba1\u3002\u5728\u96c6\u6210\u4efb\u4f55\u52a0\u5bc6\u4f9d\u8d56\u4e4b\u524d&#xff1a;<\/p>\n<ul>\n<li>\u5ba1\u67e5\u6e90\u4ee3\u7801<\/li>\n<li>\u68c0\u67e5\u5df2\u77e5\u6f0f\u6d1e<\/li>\n<li>\u9a8c\u8bc1\u7ef4\u62a4\u8005\u7684\u4fe1\u8a89<\/li>\n<li>\u8003\u8651\u8fdb\u884c\u5168\u9762\u5b89\u5168\u5ba1\u8ba1<\/li>\n<\/ul>\n<hr \/>\n<h3>\u5f00\u53d1\u8005\u7684\u6838\u5fc3\u8981\u70b9<\/h3>\n<ul>\n<li>\n<p>Ed25519 \u8bbe\u8ba1\u4e0a\u662f\u786e\u5b9a\u6027\u7684\u2014\u2014\u968f\u673a\u6570\u7531 SHA-512(secret_prefix || message) \u6d3e\u751f\u3002\u5982\u679c\u7701\u7565\u79d8\u5bc6\u524d\u7f00&#xff0c;\u968f\u673a\u6570\u5c31\u53d8\u6210\u4e86\u516c\u5f00\u53ef\u8ba1\u7b97\u7684\u3002<\/p>\n<\/li>\n<li>\n<p>\u5f53\u968f\u673a\u6570\u53ef\u9884\u6d4b\u65f6&#xff0c;\u4e00\u6761\u7b7e\u540d\u5c31\u8db3\u4ee5\u6062\u590d\u4f60\u7684\u79c1\u94a5\u3002\u8fd9\u6bd4 ECDSA \u968f\u673a\u6570\u91cd\u7528\u66f4\u7cdf\u7cd5, \u540e\u8005\u901a\u5e38\u9700\u8981\u4e24\u6761\u7b7e\u540d\u3002<\/p>\n<\/li>\n<li>\n<p>\u6f0f\u6d1e\u662f\u901a\u8fc7\u7528\u672a\u7ecf\u5ba1\u8ba1\u7684\u4ee3\u7801\u66ff\u6362\u5df2\u5ba1\u8ba1\u4ee3\u7801\u5f15\u5165\u7684\u3002\u52a0\u5bc6\u4ee3\u7801\u4e0d\u662f\u201c\u5373\u63d2\u5373\u7528\u201d\u7684, \u96c6\u6210\u65b9\u5f0f\u81f3\u5173\u91cd\u8981\u3002<\/p>\n<\/li>\n<li>\n<p>\u4e00\u65e6\u5bc6\u94a5\u5728\u94fe\u4e0a\u88ab\u6cc4\u9732&#xff0c;\u5b83\u5c31\u6c38\u8fdc\u6cc4\u9732\u4e86\u3002\u533a\u5757\u94fe\u4ea4\u6613\u662f\u4e0d\u53ef\u9006\u7684\u3002EMURGO \u8b66\u544a\u7528\u6237&#xff0c;\u5c06\u53d7\u5f71\u54cd\u7684\u52a9\u8bb0\u8bcd\u5bfc\u5165\u5176\u4ed6\u94b1\u5305\u5e76\u4e0d\u80fd\u964d\u4f4e\u98ce\u9669, \u88ab\u6cc4\u9732\u7684\u5730\u5740\u5fc5\u987b\u5f7b\u5e95\u653e\u5f03\u3002<\/p>\n<\/li>\n<li>\n<p>\u653b\u51fb\u7a97\u53e3\u53ea\u6709\u77ed\u77ed\u4e24\u5468&#xff08;6 \u6708 8 \u65e5\u81f3 6 \u6708 21 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