{"id":105,"date":"2025-10-17T14:35:59","date_gmt":"2025-10-17T06:35:59","guid":{"rendered":"https:\/\/www.youvii.site\/?p=105"},"modified":"2025-10-17T14:58:29","modified_gmt":"2025-10-17T06:58:29","slug":"shamirsecuritysharealgorithm","status":"publish","type":"post","link":"https:\/\/www.youvii.site\/index.php\/archives\/shamirsecuritysharealgorithm","title":{"rendered":"Shamir\u79d8\u5bc6\u5171\u4eab\u7b97\u6cd5"},"content":{"rendered":"<h1>Shamir\u79d8\u5bc6\u5171\u4eab\u7b97\u6cd5<\/h1>\n<p><strong>Shamir&#8217;s Securet Share\uff08SSS)<\/strong><\/p>\n<h1>\u80cc\u666f<\/h1>\n<p>\u5bc6\u7801\u5b66\u5bb6 Adi Shamir 1979 \u5e74\u63d0\u51fa \u5b9e\u73b0\u95e8\u9650\u79d8\u5bc6\u5171\u4eab<\/p>\n<h1>\u539f\u7406<\/h1>\n<p>k-1 \u6b21\u591a\u9879\u5f0f\u9700\u8981 k \u4e2a\u70b9\u552f\u4e00\u552f\u4e00\u786e\u5b9a<\/p>\n<p>$ Y=aX^2+bX+S $<\/p>\n<p>ab \u4e3a\u968f\u673a\u6570\uff0cS \u4e3a\u9700\u8981\u4fdd\u5b88\u7684\u79d8\u5bc6<\/p>\n<p>$ Y=94X^2+166X+1234 $<\/p>\n<p>\u5047\u8bbe\u5c06\u79d8\u5bc6\u5206\u6210 6 \u4efd<\/p>\n<blockquote>\n<p>1\u2014\u20141494<\/p>\n<p>2\u2014\u20141942<\/p>\n<p>3\u2014\u20142578<\/p>\n<p>4\u2014\u20143402<\/p>\n<p>5\u2014\u20144414<\/p>\n<p>6\u2014\u20145614<\/p>\n<\/blockquote>\n<p>$ Y=94X^2+166X+1234 $<\/p>\n<p>\u5c06\u591a\u9879\u5f0f\u5b9a\u4e49\u5728\u6709\u9650\u57df\u4e0a   \uff0c\u901a\u8fc7\u5e94\u7528\u6a21\u6570 (\u53d6\u4f59\u6570) \u5c06 \u666e\u901a\u591a\u9879\u5f0f \u8f6c\u6362\u4e3a \u5faa\u73af\u591a\u9879\u5f0f\uff0c\u4f7f\u5f97\u8fd9\u4e9b\u70b9\u4ece \u6709\u89c4\u5f8b\uff0c\u53ef\u7a77\u4e3e \u8f6c\u6362 \u4e3a \u65e0\u89c4\u5f8b\uff0c\u96be\u7a77\u4e3e<\/p>\n<p>$ Y=aX^2+bX+Smodp $<\/p>\n<p><img loading="lazy" decoding="async" decoding=\"async\"  src=\"https:\/\/www.youvii.site\/wp-content\/themes\/lolimeow-lolimeowV13.13\/assets\/images\/loading.gif\" data-src=\"https:\/\/free.picui.cn\/free\/2025\/10\/17\/68f1e3245c02f.png\" class=\"lazy\" loading=\"lazy\" alt=\"1747490884494-ba89a770-1d24-40f3-8d65-8a7bf99db070.png\" \/><\/p>\n<p><img loading="lazy" decoding="async" decoding=\"async\"  src=\"https:\/\/www.youvii.site\/wp-content\/themes\/lolimeow-lolimeowV13.13\/assets\/images\/loading.gif\" data-src=\"https:\/\/free.picui.cn\/free\/2025\/10\/17\/68f1e327b6722.png\" class=\"lazy\" loading=\"lazy\" alt=\"1747490891210-66d2a685-1418-46fe-85eb-cf693c0e1f32.png\" \/><\/p>\n<h1>\u8ba1\u7b97\u793a\u4f8b<\/h1>\n<p>$ Y=2X^2+3X+2 mod23<br \/>\n$<\/p>\n<p>\u5c06\u5982\u5c06\u79d8\u5bc6\u5206\u4e3a 4 \u4efd<\/p>\n<p>\u5229\u7528 <u>\u4e09\u7ec4\u6570\u636e<\/u>\u8fdb\u884c\u79d8\u5bc6\u6062\u590d<\/p>\n<pre class=\"prettyprint linenums\" ><code class=\"language-plain\">[1,7]\n[2,16]\n[3,6]\n[4,0]<\/code><\/pre>\n<p><img loading="lazy" decoding="async" decoding=\"async\"  src=\"https:\/\/www.youvii.site\/wp-content\/themes\/lolimeow-lolimeowV13.13\/assets\/images\/loading.gif\" data-src=\"https:\/\/free.picui.cn\/free\/2025\/10\/17\/68f1e32ac292a.png\" class=\"lazy\" loading=\"lazy\" alt=\"1747491155405-838744ec-c692-4cfb-8b3a-9655703fa6c4.png\" \/><\/p>\n<p><img loading="lazy" decoding="async" decoding=\"async\"  src=\"https:\/\/www.youvii.site\/wp-content\/themes\/lolimeow-lolimeowV13.13\/assets\/images\/loading.gif\" data-src=\"https:\/\/free.picui.cn\/free\/2025\/10\/17\/68f1e32d95a8c.png\" class=\"lazy\" loading=\"lazy\" alt=\"1747491187871-33f88c76-8dd6-479f-97f1-1c23d64a883d.png\" \/><\/p>\n<p><img loading="lazy" decoding="async" decoding=\"async\"  src=\"https:\/\/www.youvii.site\/wp-content\/themes\/lolimeow-lolimeowV13.13\/assets\/images\/loading.gif\" data-src=\"https:\/\/free.picui.cn\/free\/2025\/10\/17\/68f1e3313911e.png\" class=\"lazy\" loading=\"lazy\" alt=\"1747491230707-9f283d94-45b2-4f0c-8b60-c623ff488365.png\" \/><\/p>\n<blockquote>\n<p>\u66f4\u65b0: 2025-05-17 22:14:55<br \/>\n\u539f\u6587: <a href=\"http:\/\/www.yuque.com\/yuhui.net\/network\/ye81wgv03kydhvgk\">http:\/\/www.yuque.com\/yuhui.net\/network\/ye81wgv03kydhvgk<\/a><\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>Shamir\u79d8\u5bc6\u5171\u4eab\u7b97\u6cd5 Shamir&#8217;s Securet Share\uff08SSS) \u80cc\u666f \u5bc6\u7801\u5b66\u5bb6 Adi Shamir 1979 \u5e74\u63d0\u51fa \u5b9e\u73b0\u95e8\u9650\u79d8\u5bc6\u5171\u4eab \u539f\u7406 k-1 \u6b21\u591a\u9879\u5f0f\u9700\u8981 k \u4e2a\u70b9\u552f\u4e00\u552f\u4e00\u786e\u5b9a $ Y=aX^2+bX+S $ ab \u4e3a\u968f\u673a\u6570\uff0cS \u4e3a\u9700\u8981\u4fdd\u5b88\u7684\u79d8\u5bc6 $ Y=94X^2+166X+1234 $ \u5047\u8bbe\u5c06\u79d8\u5bc6\u5206\u6210 6 \u4efd 1\u2014\u20141494 2\u2014\u20141942 3\u2014\u2014257 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[36],"tags":[42,43,44],"class_list":["post-105","post","type-post","status-publish","format-standard","hentry","category-cryptography","tag-shamirshare","tag-43","tag-44"],"_links":{"self":[{"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/posts\/105","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/comments?post=105"}],"version-history":[{"count":0,"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/posts\/105\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/media?parent=105"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/categories?post=105"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.youvii.site\/index.php\/wp-json\/wp\/v2\/tags?post=105"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}