{"id":9447,"date":"2021-07-17T12:03:21","date_gmt":"2021-07-17T12:03:21","guid":{"rendered":"http:\/\/43.153.210.228\/\/?p=9447"},"modified":"2021-07-17T12:03:21","modified_gmt":"2021-07-17T12:03:21","slug":"%e6%9c%ac%e4%bd%93%e6%8a%80%e6%9c%af%e8%a7%86%e7%82%b9-ecdsa%e4%b8%ad%e7%9a%84%e9%9a%8f%e6%9c%ba%e6%95%b0%e9%87%8d%e7%94%a8%e4%bc%9a%e5%af%bc%e8%87%b4%e4%bb%80%e4%b9%88%e9%97%ae%e9%a2%98%ef%bc%9f","status":"publish","type":"post","link":"http:\/\/43.153.210.228\/?p=9447","title":{"rendered":"\u672c\u4f53\u6280\u672f\u89c6\u70b9 | ECDSA\u4e2d\u7684\u968f\u673a\u6570\u91cd\u7528\u4f1a\u5bfc\u81f4\u4ec0\u4e48\u95ee\u9898\uff1f"},"content":{"rendered":"<p>\u672c\u4f53Ontology&nbsp; \u8239\u5458&nbsp; 2021-07-15 10:56:22&nbsp; \u53d1\u5e03\u5728 \u533a\u5757\u94fe\u793e\u533a 7501&nbsp; 0  <\/p>\n<p>\u5317\u4eac\u65f6\u95f47\u670812\u65e5\u51cc\u6668\uff0c\u8de8\u94fe\u534f\u8bae Anyswap \u906d\u53d7\u653b\u51fb\uff0c\u635f\u5931\u5c06\u8fd1800\u4e07\u7f8e\u5143\u3002\u636e Anyswap \u5b98\u65b9\u900f\u9732\uff08<a href=\"https:\/\/anyswap.medium.com\/anyswap-multichain-router-v3-exploit-statement-6833f1b7e6fb\uff09\uff0c\u6b64\u6b21\u653b\u51fb\u662f\u7531\u4e8e\">https:\/\/anyswap.medium.com\/anyswap-multichain-router-v3-exploit-statement-6833f1b7e6fb\uff09\uff0c\u6b64\u6b21\u653b\u51fb\u662f\u7531\u4e8e<\/a> Anyswap \u591a\u94fe\u8def\u7531 V3 \u66fe\u7b7e\u51fa\u4e86\u4e24\u7b14\u5177\u6709\u76f8\u540c \u503c\uff08\u7b7e\u540d\u7ed3\u679c\u7684\u4e00\u4e2a\u5206\u91cf\uff09\u7684\u4ea4\u6613\uff0c\u4ece\u800c\u88ab\u63a8\u5bfc\u51fa\u79c1\u94a5\uff0c\u906d\u53d7\u4e86\u635f\u5931\u3002\u4eca\u5929\uff0c\u6211\u4eec\u5c31\u6765\u770b\u770b\u4e3a\u4ec0\u4e48\u80fd\u4ece\u4e24\u4e2a\u5177\u6709\u76f8\u540c \u503c\u7684\u7b7e\u540d\u7ed3\u679c\u4e2d\u63a8\u5bfc\u51fa\u79c1\u94a5\u3002  <\/p>\n<p>\u56fe\u6e90\u7f51\u7edc  <\/p>\n<p>01 ECDSA\u7b80\u4ecb  <\/p>\n<p>\u6570\u5b57\u7b7e\u540d\u662f\u533a\u5757\u94fe\u6280\u672f\u4eba\u5458\u8033\u719f\u80fd\u8be6\u7684\u4e00\u79cd\u5bc6\u7801\u7b97\u6cd5\uff0c\u5b83\u5305\u542b\u5bc6\u94a5\u751f\u6210\u3001\u7b7e\u540d\u548c\u9a8c\u8bc1\u4e09\u4e2a\u6b65\u9aa4\u3002  <\/p>\n<p>\u5bc6\u94a5\u751f\u6210\uff1a\u8be5\u7b97\u6cd5\u7684\u8f93\u5165\u662f\u4e00\u4e2a\u5b89\u5168\u53c2\u6570\uff0c\u6bd4\u5982\u7b7e\u540d\u957f\u5ea6\u3002\u8be5\u7b97\u6cd5\u7684\u8f93\u51fa\u662f\u4e00\u4e2a\u516c\u79c1\u94a5\u5bf9\uff0c\u5176\u4e2d\u79c1\u94a5\u7528\u6765\u7b7e\u540d\uff0c\u516c\u94a5\u7528\u6765\u9a8c\u8bc1\u7b7e\u540d\uff08\u8fd9\u91cc\u6211\u4eec\u7701\u7565\u4e86\u516c\u5f00\u53c2\u6570\u7684\u63cf\u8ff0\uff09\uff1b<br \/>\u7b7e\u540d\uff1a\u8be5\u7b97\u6cd5\u7684\u8f93\u5165\u662f\u6d88\u606f\u548c\u79c1\u94a5\uff0c\u8f93\u51fa\u662f\u7528\u8be5\u79c1\u94a5\u5bf9\u8be5\u6d88\u606f\u7684\u7b7e\u540d\u7ed3\u679c\uff1b<br \/>\u9a8c\u7b7e\uff1a\u8be5\u7b97\u6cd5\u7684\u8f93\u5165\u662f\u6d88\u606f\u548c\u516c\u94a5\uff0c\u8f93\u51fa\u662f\u4e00\u4e2a\u6bd4\u7279\uff0c\u7528\u6765\u6307\u793a\u8be5\u7b7e\u540d\u662f\u5426\u901a\u8fc7\u9a8c\u8bc1\u3002<br \/>ECDSA \u662f\u5b9a\u4e49\u5728\u692d\u5706\u66f2\u7ebf\u4e0a\u7684\u4e00\u79cd\u6570\u5b57\u7b7e\u540d\u7b97\u6cd5\u3002\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u4e0d\u518d\u4ecb\u7ecd\u692d\u5706\u66f2\u7ebf\u4ee5\u53ca\u76f8\u5173\u7684\u77e5\u8bc6\uff0c\u5c0f\u4f19\u4f34\u4eec\u53ef\u4ee5\u5728\u5176\u5b83\u5730\u65b9\u8fdb\u884c\u67e5\u9605\u3002\u6211\u4eec\u5047\u8bbe\u5b9a\u4e49\u5728\u692d\u5706\u66f2\u7ebf\u4e0a\u7684\u7fa4\u7684\u751f\u6210\u5143\u662f G \uff0c\u70b9 G \u7684\u9636\u4e3a n \u3002\u5728\u5408\u9002\u8303\u56f4\u5185\u968f\u673a\u9009\u53d6\u4e00\u4e2a\u6570 x \u4f5c\u4e3a\u79c1\u94a5\uff0c\u90a3\u4e48\u692d\u5706\u66f2\u7ebf\u4e0a\u7684\u70b9 X = x * G \u5c31\u662f\u8be5\u79c1\u94a5\u5bf9\u5e94\u7684\u516c\u94a5\u3002  <\/p>\n<p>\u7b7e\u540d\u7684\u8fc7\u7a0b\u662f\u8fd9\u6837\u7684\uff1a  <\/p>\n<p>\u5728\u5408\u9002\u8303\u56f4\u5185\u968f\u673a\u9009\u53d6\u4e00\u4e2a\u6570 k \uff0c\u8ba1\u7b97\u692d\u5706\u66f2\u7ebf\u4e0a\u7684\u70b9 k * G = (ptx, pty)\u3002\u8be5\u70b9\u7684\u6a2a\u5750\u6807\u4f5c\u4e3a\u7b7e\u540d\u7684\u5206\u91cf r \uff0c\u5373 r = H(ptx) \u3002\u7b7e\u540d\u7684\u53e6\u4e00\u90e8\u5206 s \u901a\u8fc7\u4e0a\u8ff0\u8fc7\u7a0b\u5f97\u5230\u7684 r \uff0c\u968f\u673a\u6570 k \u7684\u9006\uff0c\u79c1\u94a5 x \uff0c\u548c\u6d88\u606f m \u7684\u54c8\u5e0c\u503c e = H(m) \u751f\u6210\uff08\u5047\u5b9a\u8be5\u54c8\u5e0c\u51fd\u6570\u7684\u503c\u57df\u662f\u4e00\u4e2a\u5408\u9002\u8303\u56f4\uff0c\u4f8b\u5982 Zn \uff09\uff0c\u5373  <\/p>\n<p>\u5728\u8fd9\u91cc\uff0c\u6211\u4eec\u5047\u5b9a r \u548c s \u90fd\u4e0d\u4e3a0\u3002  <\/p>\n<p>\u5f97\u5230\u7b7e\u540d(r,s)\u540e\uff0c\u7b7e\u540d\u9a8c\u8bc1\u7684\u8fc7\u7a0b\u662f\u8fd9\u6837\u7684\uff1a  <\/p>\n<p>\u5148\u8ba1\u7b97 s \u7684\u9006\u548c\u6d88\u606f\u7684\u54c8\u5e0c\u503c\u3002\u7136\u540e\u8ba1\u7b97\u692d\u5706\u66f2\u7ebf\u4e0a\u7684\u70b9  <\/p>\n<p>\uff0c\u5e76\u5224\u65ad\u8be5\u70b9\u662f\u4e0d\u662f\u65e0\u9650\u8fdc\u70b9\uff0c\u5b83\u7684 x \u5750\u6807\u662f\u5426\u548c r \u76f8\u540c\u3002  <\/p>\n<p>\u4e00\u4e2a\u7b7e\u540d (r, s) \u80fd\u901a\u8fc7\u9a8c\u8bc1\uff0c\u662f\u56e0\u4e3a\u9a8c\u8bc1\u516c\u5f0f\u53ef\u4ee5\u8fdb\u884c\u8f6c\u5316\uff1a  <\/p>\n<p>\u4e3a\u4e86\u63d0\u9ad8\u6548\u7387\uff0c\u4ee5\u592a\u574a\u7b49\u533a\u5757\u94fe\u7cfb\u7edf\u4e2d\u91c7\u7528\u4ece\u7b7e\u540d\u7ed3\u679c\u4e2d\u6062\u590d\u51fa\u516c\u94a5\uff0c\u5e76\u8fdb\u884c\u6bd4\u5bf9\u7684\u9a8c\u8bc1\u7b97\u6cd5\u3002\u5f53\u7136\uff0c\u4e3a\u4e86\u80fd\u4ece\u7b7e\u540d\u7ed3\u679c\u4e2d\u6062\u590d\u51fa\u516c\u94a5\uff0c\u8fd8\u9700\u8981\u5b58\u50a8\u989d\u5916\u7684\u4fe1\u606f\uff0c\u6211\u4eec\u5728\u8fd9\u91cc\u5c31\u4e0d\u518d\u53d9\u8ff0\u3002  <\/p>\n<p>\u5173\u4e8e ECDSA \u7684\u5f62\u5f0f\u5316\u63cf\u8ff0\u53ef\u4ee5\u5728\u7f51\u7ad9\uff1a<a href=\"http:\/\/www.secg.org\/\">http:\/\/www.secg.org\/<\/a> \u4e0a\u627e\u5230\u3002  <\/p>\n<p>\u56fe\u6e90\u7f51\u7edc  <\/p>\n<p>02 \u968f\u673a\u6570\u91cd\u7528  <\/p>\n<p>\u6211\u4eec\u4ece\u4e0a\u9762\u7684\u8bf4\u660e\u4e2d\u53ef\u4ee5\u6e05\u6670\u5730\u770b\u5230\uff0c\u5177\u6709\u76f8\u540c r \u503c\u7684\u7b7e\u540d\u7ed3\u679c\uff0c\u662f\u56e0\u4e3a\u7b7e\u540d\u8fc7\u7a0b\u4e2d\u5e94\u7528\u7684\u968f\u673a\u6570 k \u76f8\u540c\u3002\u90a3\u4e48\u5bf9\u4e8e\u67d0\u4e00\u4e2a\u79c1\u94a5 x \u800c\u8a00\uff0c\u91c7\u7528\u540c\u4e00\u4e2a\u968f\u673a\u6570 k \u5bf9\u4e0d\u540c\u6d88\u606f m1 \u548c m2 \u7b7e\u540d\u5f97\u5230\u4e24\u4e2a\u7b7e\u540d\u7ed3\u679c (r1, s1) \u548c (r2, s2) \uff0c\u4e3a\u4ec0\u4e48\u80fd\u4ece\u4e2d\u95f4\u63a8\u51fa\u79c1\u94a5\u5462\uff1f  <\/p>\n<p>\u6839\u636e ECDSA \u7b7e\u540d\u8fc7\u7a0b\uff0c\u968f\u673a\u6570\u76f8\u540c\u4f1a\u5bfc\u81f4\u4e24\u4e2a\u7b7e\u540d\u7684\u7b2c\u4e00\u4e2a\u5206\u91cf\u76f8\u7b49\uff0c\u5373 r1 = r2 \u3002\u6211\u4eec\u5047\u5b9a r1 = r2 = r \u3002\u90a3\u4e48\uff0c\u6709\u5982\u4e0b\u4e24\u4e2a\u7b49\u5f0f\uff1a  <\/p>\n<p>\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u4e0a\u9762\u4e24\u4e2a\u7b49\u5f0f\uff0c\u672a\u77e5\u53d8\u91cf\u53ea\u6709 k \u548c x \u3002\u4e24\u4e2a\u7b49\u5f0f\u5de6\u53f3\u5206\u522b\u76f8\u9664\u5316\u7b80\uff0c\u6211\u4eec\u53ef\u4ee5\u5f97\u5230\uff1a  <\/p>\n<p>\u5728\u4e0a\u9762\u7684\u7b49\u5f0f\u4e2d\uff0c\u53ea\u6709\u4e00\u4e2a\u672a\u77e5\u91cf\uff0c\u5373\u79c1\u94a5 x \uff0c\u6211\u4eec\u53ef\u4ee5\u5bb9\u6613\u6c42\u5f97\u3002\u53e6\u5916\uff0cECDSA \u5177\u6709\u5ef6\u5c55\u6027\uff0c\u5373\u5982\u679c (r, s) \u662f\u5bf9\u67d0\u4e2a\u6d88\u606f \u7684\u6570\u5b57\u7b7e\u540d\u7ed3\u679c\uff0c\u90a3\u4e48 (r, n-s) \u4e5f\u662f\u5bf9\u8fd9\u4e2a\u6d88\u606f m \u7684\u6570\u5b57\u7b7e\u540d\u7ed3\u679c\u3002\u56e0\u6b64\uff0c\u6211\u4eec\u5728\u5bf9\u4e8e\u4e00\u822c\u7684\u7b7e\u540d\u7ed3\u679c\u5bfc\u51fa\u79c1\u94a5\u65f6\uff0c\u9700\u8981\u8fdb\u884c\u591a\u6b21\u5c1d\u8bd5\u3002\u5728\u8fd9\u91cc\u8bf4\u53e5\u9898\u5916\u8bdd\uff0c\u5728\u6bd4\u7279\u5e01\u7b49\u7f51\u7edc\u4e2d\uff0c\u5bf9 s \u7684\u8303\u56f4\u8fdb\u884c\u4e86\u9650\u5b9a\uff0c\u4ee5\u907f\u514d ECDSA \u7684\u5ef6\u5c55\u6027\u95ee\u9898\u3002  <\/p>\n<p>\u53e6\u5916\uff0c\u5982\u679c\u4e24\u4e2a\u7528\u6237\u4f7f\u7528\u4e86\u540c\u6837\u7684\u968f\u673a\u6570\uff0c\u90a3\u4e48\u6211\u4eec\u53ef\u4ee5\u770b\u5230\uff0c\u5176\u5b9e\u5bf9\u4e8e\u67d0\u4e00\u4e2a\u7528\u6237\u6765\u8bf4\uff0c\u4e5f\u53ef\u4ee5\u5f97\u5230\u53e6\u4e00\u4e2a\u7528\u6237\u7684\u79c1\u94a5\uff0c\u56e0\u4e3a\u5728\u4e0a\u8ff0\u7b49\u5f0f\u4e2d\u4e5f\u53ea\u6709\u53e6\u5916\u4e00\u4e2a\u7528\u6237\u7684\u79c1\u94a5\u8fd9\u4e00\u672a\u77e5\u53d8\u91cf\u3002\u4f46\u5bf9\u4e8e\u5176\u5b83\u7528\u6237\u6765\u8bf4\uff0c\u5219\u65e0\u6cd5\u63a8\u5bfc\u51fa\u8fd9\u4e24\u4e2a\u7528\u6237\u4efb\u610f\u4e00\u4e2a\u7684\u79c1\u94a5\u3002  <\/p>\n<p>03 \u7ed3\u8bed  <\/p>\n<p>\u5728 ECDSA \u4e2d\uff0c\u968f\u673a\u6570\u662f\u4e00\u4e2a\u5341\u5206\u91cd\u8981\u7684\u91cf\u3002\u5bf9\u4e8e\u540c\u4e00\u4e2a\u7528\u6237\uff0c\u540c\u4e00\u4e2a\u968f\u673a\u6570\u5728\u4e0d\u540c\u7b7e\u540d\u4e2d\u4f7f\u7528\uff0c\u4f1a\u4f7f\u5f97\u7528\u6237\u79c1\u94a5\u66b4\u9732\u3002\u6b64\u6b21 Anyswap \u88ab\u653b\u51fb\u4e8b\u4ef6\u4fbf\u662f\u7531\u6b64\u800c\u6765\u3002  <\/p>\n<p>\u8457\u540d\u76842010\u5e74 Sony PS3 \u4e8b\u4ef6\u4e5f\u662f\u7531\u4e8e\u968f\u673a\u6570\u91cd\u7528\u7684\u95ee\u9898\u3002\u9664\u6b64\u4e4b\u5916\uff0c\u5728 ECDSA \u4e2d\uff0c\u5982\u679c\u968f\u673a\u6570\u6cc4\u9732\uff0c\u4e5f\u5c06\u5bfc\u81f4\u79c1\u94a5\u6cc4\u9732\u3002\u968f\u673a\u6570\u5728\u5bc6\u7801\u7b97\u6cd5\u4e2d\u5360\u636e\u4e86\u4e00\u4e2a\u91cd\u8981\u5730\u4f4d\uff0c\u6211\u4eec\u5728\u5e94\u7528\u4e2d\u5e94\u8ba4\u771f\u5bf9\u5f85\u968f\u673a\u6570\u3002<\/p>\n<p><a href=\"http:\/\/43.153.210.228\/\/wp-content\/uploads\/2021\/07\/809blockchainBTCwww.qkl91.com_.jpg\"><img loading=\"lazy\" decoding=\"async\" title=\"\u65f6\u5149\u7d20\u6750-\u9999\u8f66\u7f8e\u5973  (809)blockchainBTC\u6bd4\u7279\u5e01\u533a\u5757\u94fewww.qkl91.com\" style=\"border-top: 0px; border-right: 0px; border-bottom: 0px; border-left: 0px; display: inline\" border=\"0\" alt=\"\u65f6\u5149\u7d20\u6750-\u9999\u8f66\u7f8e\u5973  (809)blockchainBTC\u6bd4\u7279\u5e01\u533a\u5757\u94fewww.qkl91.com\" src=\"http:\/\/43.153.210.228\/\/wp-content\/uploads\/2021\/07\/809blockchainBTCwww.qkl91.com_thumb.jpg\" width=\"504\" height=\"335\"><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u672c\u4f53Ontology&nbsp; \u8239\u5458&nbsp; 2021-07-15 10:56:22&nbsp; \u53d1\u5e03\u5728 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-9447","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"http:\/\/43.153.210.228\/index.php?rest_route=\/wp\/v2\/posts\/9447"}],"collection":[{"href":"http:\/\/43.153.210.228\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/43.153.210.228\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/43.153.210.228\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/43.153.210.228\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=9447"}],"version-history":[{"count":1,"href":"http:\/\/43.153.210.228\/index.php?rest_route=\/wp\/v2\/posts\/9447\/revisions"}],"predecessor-version":[{"id":9448,"href":"http:\/\/43.153.210.228\/index.php?rest_route=\/wp\/v2\/posts\/9447\/revisions\/9448"}],"wp:attachment":[{"href":"http:\/\/43.153.210.228\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9447"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/43.153.210.228\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9447"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/43.153.210.228\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9447"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}