{"id":31115,"date":"2023-07-19T16:10:37","date_gmt":"2023-07-19T12:40:37","guid":{"rendered":"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/"},"modified":"2023-07-19T16:10:37","modified_gmt":"2023-07-19T12:40:37","slug":"verifiable-random-functions-vrf-with-ruby-4io7","status":"publish","type":"post","link":"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/","title":{"rendered":"\u062a\u0648\u0627\u0628\u0639 \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0627\u0628\u0644 \u062a\u0623\u06cc\u06cc\u062f (VRF) \u0628\u0627 \u0631\u0648\u0628\u06cc"},"content":{"rendered":"<div data-article-id=\"1541930\" id=\"article-body\">\n<p>\u062a\u0648\u0627\u0628\u0639 \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0627\u0628\u0644 \u062a\u0623\u06cc\u06cc\u062f (VRF) \u0628\u062f\u0648\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0646\u0642\u0634 \u0645\u0647\u0645\u06cc \u062f\u0631 \u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0627\u06cc\u0645\u0646 \u062f\u0627\u0631\u0646\u062f.  \u0622\u0646\u0647\u0627 \u0627\u062c\u0627\u0632\u0647 \u062a\u0648\u0644\u06cc\u062f \u06cc\u06a9 \u062e\u0631\u0648\u062c\u06cc \u0634\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0637\u0639\u06cc \u0631\u0627 \u0645\u06cc \u062f\u0647\u0646\u062f \u06a9\u0647 \u0628\u0647 \u0637\u0648\u0631 \u0642\u0627\u0628\u0644 \u062a\u0623\u06cc\u06cc\u062f \u0628\u0627 \u06cc\u06a9 \u0648\u0631\u0648\u062f\u06cc \u062e\u0627\u0635 \u0645\u0631\u062a\u0628\u0637 \u0627\u0633\u062a\u060c \u0628\u062f\u0648\u0646 \u0627\u06cc\u0646\u06a9\u0647 \u06a9\u0644\u06cc\u062f \u0645\u062e\u0641\u06cc \u062a\u0627\u0628\u0639 \u0632\u06cc\u0631\u0628\u0646\u0627\u06cc\u06cc \u0631\u0627 \u0622\u0634\u06a9\u0627\u0631 \u06a9\u0646\u062f.  VRF \u0647\u0627 \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc\u06cc \u0645\u0627\u0646\u0646\u062f \u0627\u0645\u0636\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644\u060c \u0628\u0644\u0627\u06a9 \u0686\u06cc\u0646 \u0647\u0627\u06cc \u0627\u062b\u0628\u0627\u062a \u0633\u0647\u0627\u0645 \u0648 \u062a\u0648\u0644\u06cc\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u06cc\u0645\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u0646\u062f.  \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0642\u0627\u0644\u0647\u060c \u0645\u0641\u0647\u0648\u0645 VRF \u0647\u0627\u060c \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0648 \u0628\u0647 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc VRF \u062f\u0631 \u0632\u0628\u0627\u0646 \u0628\u0631\u0646\u0627\u0645\u0647 \u0646\u0648\u06cc\u0633\u06cc Ruby \u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u06cc\u0645.<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_84 counter-hierarchy ez-toc-counter-rtl ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u0641\u0647\u0631\u0633\u062a \u0645\u0637\u0627\u0644\u0628<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/#%D8%AF%D8%B1%DA%A9_%D8%AA%D9%88%D8%A7%D8%A8%D8%B9_%D8%AA%D8%B5%D8%A7%D8%AF%D9%81%DB%8C_%D9%82%D8%A7%D8%A8%D9%84_%D8%AA%D8%A3%DB%8C%DB%8C%D8%AF_VRF\" >\u062f\u0631\u06a9 \u062a\u0648\u0627\u0628\u0639 \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0627\u0628\u0644 \u062a\u0623\u06cc\u06cc\u062f (VRF)<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/#%D9%88%DB%8C%DA%98%DA%AF%DB%8C_%D9%87%D8%A7%DB%8C_VRF_%D9%87%D8%A7\" >\u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc VRF \u0647\u0627<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/#%DA%A9%D8%AF\" >\u06a9\u062f<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/#%D9%88%DB%8C%DA%98%DA%AF%DB%8C_%D9%87%D8%A7%DB%8C_%D8%A7%D9%85%D9%86%DB%8C%D8%AA%DB%8C_VRF_%D9%87%D8%A7\" >\u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc VRF \u0647\u0627<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/#%D9%85%D9%88%D8%A7%D8%B1%D8%AF_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D8%A7%D8%B2_VRFs\" >\u0645\u0648\u0627\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 VRFs<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/#%DA%86%D8%A7%D9%84%D8%B4_%D9%87%D8%A7_%D9%88_%D9%85%D9%84%D8%A7%D8%AD%D8%B8%D8%A7%D8%AA\" >\u0686\u0627\u0644\u0634 \u0647\u0627 \u0648 \u0645\u0644\u0627\u062d\u0638\u0627\u062a<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/nabfollower.com\/blog\/verifiable-random-functions-vrf-with-ruby-4io7\/#%D9%86%D8%AA%DB%8C%D8%AC%D9%87\" >\u0646\u062a\u06cc\u062c\u0647<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%D8%AF%D8%B1%DA%A9_%D8%AA%D9%88%D8%A7%D8%A8%D8%B9_%D8%AA%D8%B5%D8%A7%D8%AF%D9%81%DB%8C_%D9%82%D8%A7%D8%A8%D9%84_%D8%AA%D8%A3%DB%8C%DB%8C%D8%AF_VRF\"><\/span>\n<p>  \u062f\u0631\u06a9 \u062a\u0648\u0627\u0628\u0639 \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0627\u0628\u0644 \u062a\u0623\u06cc\u06cc\u062f (VRF)<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>VRF \u06cc\u06a9 \u0641\u0631\u0622\u06cc\u0646\u062f \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0633\u0647 \u0645\u0631\u062d\u0644\u0647 \u0627\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 \u0633\u0647 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 KeyGen\u060c Eval \u0648 Verify \u062a\u0634\u06a9\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<ol>\n<li>\n<p><strong>KeyGen<\/strong>: \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 KeyGen \u06cc\u06a9 \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0648 \u062e\u0635\u0648\u0635\u06cc \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u062f.  \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0628\u0631\u0627\u06cc \u062a\u0623\u06cc\u06cc\u062f \u062e\u0631\u0648\u062c\u06cc \u0634\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f\u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0645\u062e\u0641\u06cc \u0646\u06af\u0647 \u062f\u0627\u0634\u062a\u0647 \u0645\u06cc \u0634\u0648\u062f \u0648 \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u062e\u0631\u0648\u062c\u06cc VRF \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0631\u0632\u0634\u06cc\u0627\u0628\u06cc<\/strong>: \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 Eval \u06cc\u06a9 \u0648\u0631\u0648\u062f\u06cc (\u067e\u06cc\u0627\u0645) \u0648 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc \u0645\u06cc \u06af\u06cc\u0631\u062f \u0648 \u0628\u0647 \u0637\u0648\u0631 \u0642\u0637\u0639\u06cc \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc \u06a9\u0646\u062f.  \u0646\u06a9\u062a\u0647 \u0645\u0647\u0645 \u0627\u06cc\u0646 \u0627\u0633\u062a \u06a9\u0647 \u0639\u0645\u0644\u06a9\u0631\u062f VRF \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u0642\u0627\u0648\u0645 \u0627\u0633\u062a\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u062f\u0648 \u0648\u0631\u0648\u062f\u06cc \u0645\u062e\u062a\u0644\u0641 \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u062e\u0631\u0648\u062c\u06cc \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062a\u0648\u0644\u06cc\u062f \u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0623\u06cc\u06cc\u062f \u06a9\u0646\u06cc\u062f<\/strong>: \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 Verify \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc\u060c \u067e\u06cc\u0627\u0645 \u0648\u0631\u0648\u062f\u06cc \u0648 \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0631\u0648\u062f\u06cc \u0645\u06cc \u06af\u06cc\u0631\u062f \u0648 \u0635\u062d\u062a \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u062a\u0623\u06cc\u06cc\u062f \u0645\u06cc \u06a9\u0646\u062f.  \u0627\u06cc\u0646 \u062a\u0636\u0645\u06cc\u0646 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u062e\u0631\u0648\u062c\u06cc \u0648\u0627\u0642\u0639\u0627\u064b \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u0648 \u067e\u06cc\u0627\u0645 \u0648\u0631\u0648\u062f\u06cc \u0627\u06cc\u062c\u0627\u062f \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"%D9%88%DB%8C%DA%98%DA%AF%DB%8C_%D9%87%D8%A7%DB%8C_VRF_%D9%87%D8%A7\"><\/span>\n<p>  \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc VRF \u0647\u0627<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>VRF \u0647\u0627 \u062f\u0627\u0631\u0627\u06cc \u0686\u0646\u062f\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u062d\u06cc\u0627\u062a\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0631\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u0637\u0644\u0648\u0628 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<ol>\n<li>\n<p><strong>\u062e\u0631\u0648\u062c\u06cc \u0642\u0637\u0639\u06cc \u0648 \u063a\u06cc\u0631 \u0642\u0627\u0628\u0644 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc<\/strong>: \u062e\u0631\u0648\u062c\u06cc VRF \u0642\u0637\u0639\u06cc \u0627\u0633\u062a\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u06cc\u06a9 \u0648\u0631\u0648\u062f\u06cc \u0647\u0645\u06cc\u0634\u0647 \u0647\u0645\u0627\u0646 \u062e\u0631\u0648\u062c\u06cc \u0631\u0627 \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc \u06a9\u0646\u062f.  \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u062e\u0631\u0648\u062c\u06cc \u0627\u0632 \u06cc\u06a9 \u0645\u0642\u062f\u0627\u0631 \u0648\u0627\u0642\u0639\u0627 \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0627\u0628\u0644 \u062a\u0634\u062e\u06cc\u0635 \u0646\u06cc\u0633\u062a\u060c \u062d\u062a\u06cc \u0628\u0631\u0627\u06cc \u06a9\u0633\u06cc \u06a9\u0647 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc VRF \u0631\u0627 \u0645\u06cc\u200c\u062f\u0627\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0642\u0627\u0648\u0645\u062a \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u0628\u0631\u062e\u0648\u0631\u062f<\/strong>: VRF \u0647\u0627 \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u0628\u0631\u062e\u0648\u0631\u062f \u0645\u0642\u0627\u0648\u0645 \u0647\u0633\u062a\u0646\u062f\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u06cc\u0627\u0641\u062a\u0646 \u062f\u0648 \u0648\u0631\u0648\u062f\u06cc \u0645\u062c\u0632\u0627 \u06a9\u0647 \u062e\u0631\u0648\u062c\u06cc VRF \u06cc\u06a9\u0633\u0627\u0646\u06cc \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc \u06a9\u0646\u0646\u062f \u063a\u06cc\u0631\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a.<\/p>\n<\/li>\n<li>\n<p><strong>\u0634\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0648 \u0639\u062f\u0645 \u067e\u06cc\u0648\u0646\u062f<\/strong>: \u062e\u0631\u0648\u062c\u06cc VRF \u0634\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u0647 \u0646\u0638\u0631 \u0645\u06cc \u0631\u0633\u062f\u060c \u0648 \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u063a\u06cc\u0631\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u06a9\u0647 \u06cc\u06a9 \u0648\u0631\u0648\u062f\u06cc \u06cc\u06a9\u0633\u0627\u0646 \u0631\u0627 \u0628\u0647 \u0686\u0646\u062f\u06cc\u0646 \u062e\u0631\u0648\u062c\u06cc VRF \u067e\u06cc\u0648\u0646\u062f \u062f\u0647\u06cc\u0645.<\/p>\n<\/li>\n<li>\n<p><strong>\u063a\u06cc\u0631 \u0686\u06a9\u0634 \u062e\u0648\u0627\u0631\u06cc<\/strong>: \u062e\u0631\u0648\u062c\u06cc VRF \u062a\u0648\u0633\u0637 \u0645\u0647\u0627\u062c\u0645 \u0628\u062f\u0648\u0646 \u0627\u0637\u0644\u0627\u0639 \u0627\u0632 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc VRF \u0642\u0627\u0628\u0644 \u062a\u063a\u06cc\u06cc\u0631 \u0646\u06cc\u0633\u062a.<\/p>\n<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"%DA%A9%D8%AF\"><\/span>\n<p>  \u06a9\u062f<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight ruby\"><code><span class=\"c1\"># Import the necessary libraries for cryptographic operations<\/span>\n<span class=\"nb\">require<\/span> <span class=\"s1\">'openssl'<\/span>\n\n<span class=\"c1\"># Function to generate VRF keys<\/span>\n<span class=\"k\">def<\/span> <span class=\"nf\">generate_vrf_keys<\/span>\n  <span class=\"n\">group<\/span> <span class=\"o\">=<\/span> <span class=\"no\">OpenSSL<\/span><span class=\"o\">::<\/span><span class=\"no\">PKey<\/span><span class=\"o\">::<\/span><span class=\"no\">EC<\/span><span class=\"o\">::<\/span><span class=\"no\">Group<\/span><span class=\"p\">.<\/span><span class=\"nf\">new<\/span><span class=\"p\">(<\/span><span class=\"s1\">'secp256k1'<\/span><span class=\"p\">)<\/span>\n  <span class=\"n\">private_key<\/span> <span class=\"o\">=<\/span> <span class=\"no\">OpenSSL<\/span><span class=\"o\">::<\/span><span class=\"no\">PKey<\/span><span class=\"o\">::<\/span><span class=\"no\">EC<\/span><span class=\"p\">.<\/span><span class=\"nf\">new<\/span><span class=\"p\">(<\/span><span class=\"n\">group<\/span><span class=\"p\">)<\/span>\n  <span class=\"n\">private_key<\/span><span class=\"p\">.<\/span><span class=\"nf\">generate_key<\/span>\n  <span class=\"n\">public_key<\/span> <span class=\"o\">=<\/span> <span class=\"n\">private_key<\/span><span class=\"p\">.<\/span><span class=\"nf\">public_key<\/span>\n  <span class=\"k\">return<\/span> <span class=\"n\">private_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">public_key<\/span>\n<span class=\"k\">end<\/span>\n\n<span class=\"c1\"># Function to evaluate VRF<\/span>\n<span class=\"k\">def<\/span> <span class=\"nf\">eval_vrf<\/span><span class=\"p\">(<\/span><span class=\"n\">private_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">input_message<\/span><span class=\"p\">)<\/span>\n  <span class=\"n\">digest<\/span> <span class=\"o\">=<\/span> <span class=\"no\">OpenSSL<\/span><span class=\"o\">::<\/span><span class=\"no\">Digest<\/span><span class=\"o\">::<\/span><span class=\"no\">SHA256<\/span><span class=\"p\">.<\/span><span class=\"nf\">new<\/span>\n  <span class=\"n\">vrf_output<\/span> <span class=\"o\">=<\/span> <span class=\"n\">private_key<\/span><span class=\"p\">.<\/span><span class=\"nf\">dsa_sign_asn1<\/span><span class=\"p\">(<\/span><span class=\"n\">input_message<\/span><span class=\"p\">)<\/span>\n  <span class=\"k\">return<\/span> <span class=\"n\">vrf_output<\/span>\n<span class=\"k\">end<\/span>\n\n<span class=\"c1\"># Function to verify VRF output<\/span>\n<span class=\"k\">def<\/span> <span class=\"nf\">verify_vrf<\/span><span class=\"p\">(<\/span><span class=\"n\">public_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">input_message<\/span><span class=\"p\">,<\/span> <span class=\"n\">vrf_output<\/span><span class=\"p\">)<\/span>\n  <span class=\"n\">digest<\/span> <span class=\"o\">=<\/span> <span class=\"no\">OpenSSL<\/span><span class=\"o\">::<\/span><span class=\"no\">Digest<\/span><span class=\"o\">::<\/span><span class=\"no\">SHA256<\/span><span class=\"p\">.<\/span><span class=\"nf\">new<\/span>\n  <span class=\"k\">return<\/span> <span class=\"n\">public_key<\/span><span class=\"p\">.<\/span><span class=\"nf\">dsa_verify_asn1<\/span><span class=\"p\">(<\/span><span class=\"n\">input_message<\/span><span class=\"p\">,<\/span> <span class=\"n\">vrf_output<\/span><span class=\"p\">)<\/span>\n<span class=\"k\">end<\/span>\n\n<span class=\"c1\"># Example usage:<\/span>\n<span class=\"n\">private_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">public_key<\/span> <span class=\"o\">=<\/span> <span class=\"n\">generate_vrf_keys<\/span>\n<span class=\"n\">input_message<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"Hello, VRF!\"<\/span>\n<span class=\"n\">vrf_output<\/span> <span class=\"o\">=<\/span> <span class=\"n\">eval_vrf<\/span><span class=\"p\">(<\/span><span class=\"n\">private_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">input_message<\/span><span class=\"p\">)<\/span>\n<span class=\"n\">is_verified<\/span> <span class=\"o\">=<\/span> <span class=\"n\">verify_vrf<\/span><span class=\"p\">(<\/span><span class=\"n\">public_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">input_message<\/span><span class=\"p\">,<\/span> <span class=\"n\">vrf_output<\/span><span class=\"p\">)<\/span>\n\n<span class=\"nb\">puts<\/span> <span class=\"s2\">\"VRF Output: <\/span><span class=\"si\">#{<\/span><span class=\"n\">vrf_output<\/span><span class=\"si\">}<\/span><span class=\"s2\">\"<\/span>\n<span class=\"nb\">puts<\/span> <span class=\"s2\">\"VRF Verification Result: <\/span><span class=\"si\">#{<\/span><span class=\"n\">is_verified<\/span><span class=\"si\">}<\/span><span class=\"s2\">\"<\/span>\n<\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight ruby\"><code><span class=\"nb\">require<\/span> <span class=\"s1\">'openssl'<\/span>\n\n<span class=\"c1\"># Function to generate VRF keys<\/span>\n<span class=\"k\">def<\/span> <span class=\"nf\">generate_vrf_keys<\/span>\n  <span class=\"n\">group<\/span> <span class=\"o\">=<\/span> <span class=\"no\">OpenSSL<\/span><span class=\"o\">::<\/span><span class=\"no\">PKey<\/span><span class=\"o\">::<\/span><span class=\"no\">EC<\/span><span class=\"o\">::<\/span><span class=\"no\">Group<\/span><span class=\"p\">.<\/span><span class=\"nf\">new<\/span><span class=\"p\">(<\/span><span class=\"s1\">'secp256k1'<\/span><span class=\"p\">)<\/span>\n  <span class=\"n\">private_key<\/span> <span class=\"o\">=<\/span> <span class=\"no\">OpenSSL<\/span><span class=\"o\">::<\/span><span class=\"no\">PKey<\/span><span class=\"o\">::<\/span><span class=\"no\">EC<\/span><span class=\"p\">.<\/span><span class=\"nf\">new<\/span><span class=\"p\">(<\/span><span class=\"n\">group<\/span><span class=\"p\">)<\/span>\n  <span class=\"n\">private_key<\/span><span class=\"p\">.<\/span><span class=\"nf\">generate_key<\/span>\n  <span class=\"n\">public_key<\/span> <span class=\"o\">=<\/span> <span class=\"n\">private_key<\/span><span class=\"p\">.<\/span><span class=\"nf\">public_key<\/span>\n  <span class=\"k\">return<\/span> <span class=\"n\">private_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">public_key<\/span>\n<span class=\"k\">end<\/span>\n\n<span class=\"c1\"># Function to evaluate VRF<\/span>\n<span class=\"k\">def<\/span> <span class=\"nf\">eval_vrf<\/span><span class=\"p\">(<\/span><span class=\"n\">private_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">input_message<\/span><span class=\"p\">)<\/span>\n  <span class=\"n\">digest<\/span> <span class=\"o\">=<\/span> <span class=\"no\">OpenSSL<\/span><span class=\"o\">::<\/span><span class=\"no\">Digest<\/span><span class=\"o\">::<\/span><span class=\"no\">SHA256<\/span><span class=\"p\">.<\/span><span class=\"nf\">new<\/span>\n  <span class=\"n\">vrf_output<\/span> <span class=\"o\">=<\/span> <span class=\"n\">private_key<\/span><span class=\"p\">.<\/span><span class=\"nf\">dsa_sign_asn1<\/span><span class=\"p\">(<\/span><span class=\"n\">input_message<\/span><span class=\"p\">)<\/span>\n  <span class=\"k\">return<\/span> <span class=\"n\">vrf_output<\/span>\n<span class=\"k\">end<\/span>\n\n<span class=\"c1\"># Function to verify VRF output<\/span>\n<span class=\"k\">def<\/span> <span class=\"nf\">verify_vrf<\/span><span class=\"p\">(<\/span><span class=\"n\">public_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">input_message<\/span><span class=\"p\">,<\/span> <span class=\"n\">vrf_output<\/span><span class=\"p\">)<\/span>\n  <span class=\"n\">digest<\/span> <span class=\"o\">=<\/span> <span class=\"no\">OpenSSL<\/span><span class=\"o\">::<\/span><span class=\"no\">Digest<\/span><span class=\"o\">::<\/span><span class=\"no\">SHA256<\/span><span class=\"p\">.<\/span><span class=\"nf\">new<\/span>\n  <span class=\"n\">is_verified<\/span> <span class=\"o\">=<\/span> <span class=\"n\">public_key<\/span><span class=\"p\">.<\/span><span class=\"nf\">dsa_verify_asn1<\/span><span class=\"p\">(<\/span><span class=\"n\">input_message<\/span><span class=\"p\">,<\/span> <span class=\"n\">vrf_output<\/span><span class=\"p\">)<\/span>\n  <span class=\"k\">return<\/span> <span class=\"n\">is_verified<\/span>\n<span class=\"k\">end<\/span>\n\n<span class=\"c1\"># Example usage:<\/span>\n<span class=\"k\">def<\/span> <span class=\"nf\">example_usage<\/span>\n  <span class=\"n\">private_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">public_key<\/span> <span class=\"o\">=<\/span> <span class=\"n\">generate_vrf_keys<\/span>\n  <span class=\"n\">input_message<\/span> <span class=\"o\">=<\/span> <span class=\"s2\">\"Hello, VRF!\"<\/span>\n\n  <span class=\"c1\"># Generate VRF output<\/span>\n  <span class=\"n\">vrf_output<\/span> <span class=\"o\">=<\/span> <span class=\"n\">eval_vrf<\/span><span class=\"p\">(<\/span><span class=\"n\">private_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">input_message<\/span><span class=\"p\">)<\/span>\n\n  <span class=\"c1\"># Verify the VRF output<\/span>\n  <span class=\"n\">is_verified<\/span> <span class=\"o\">=<\/span> <span class=\"n\">verify_vrf<\/span><span class=\"p\">(<\/span><span class=\"n\">public_key<\/span><span class=\"p\">,<\/span> <span class=\"n\">input_message<\/span><span class=\"p\">,<\/span> <span class=\"n\">vrf_output<\/span><span class=\"p\">)<\/span>\n\n  <span class=\"c1\"># Print results<\/span>\n  <span class=\"nb\">puts<\/span> <span class=\"s2\">\"Input Message: <\/span><span class=\"si\">#{<\/span><span class=\"n\">input_message<\/span><span class=\"si\">}<\/span><span class=\"s2\">\"<\/span>\n  <span class=\"nb\">puts<\/span> <span class=\"s2\">\"VRF Output: <\/span><span class=\"si\">#{<\/span><span class=\"n\">vrf_output<\/span><span class=\"p\">.<\/span><span class=\"nf\">unpack<\/span><span class=\"p\">(<\/span><span class=\"s1\">'H*'<\/span><span class=\"p\">).<\/span><span class=\"nf\">first<\/span><span class=\"si\">}<\/span><span class=\"s2\">\"<\/span> <span class=\"c1\"># Display output as hexadecimal<\/span>\n  <span class=\"nb\">puts<\/span> <span class=\"s2\">\"VRF Verification Result: <\/span><span class=\"si\">#{<\/span><span class=\"n\">is_verified<\/span><span class=\"si\">}<\/span><span class=\"s2\">\"<\/span>\n<span class=\"k\">end<\/span>\n<\/code><\/pre>\n<div class=\"highlight__panel js-actions-panel\">\n<div class=\"highlight__panel-action js-fullscreen-code-action\">\n    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-on\"><title>\u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M16 3h6v6h-2V5h-4V3zM2 3h6v2H4v4H2V3zm18 16v-4h2v6h-6v-2h4zM4 19h4v2H2v-6h2v4z\"\/>\n<\/svg><\/p>\n<p>    <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"20px\" height=\"20px\" viewbox=\"0 0 24 24\" class=\"highlight-action crayons-icon highlight-action--fullscreen-off\"><title>\u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/title>\n    <path d=\"M18 7h4v2h-6V3h2v4zM8 9H2V7h4V3h2v6zm10 8v4h-2v-6h6v2h-4zM8 15v6H6v-4H2v-2h6z\"\/>\n<\/svg><\/p>\n<\/div>\n<\/div>\n<\/div>\n<p>`<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u06a9\u062f\u060c \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc VRF \u0631\u0627 \u062f\u0631 Ruby \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06a9\u062a\u0627\u0628\u062e\u0627\u0646\u0647 OpenSSL \u062a\u06a9\u0645\u06cc\u0644 \u06a9\u0631\u062f\u0647 \u0627\u06cc\u0645.  \u062a\u0627\u0628\u0639gene_vrf_keys \u06cc\u06a9 \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u062f\u060c \u062a\u0627\u0628\u0639 eval_vrf \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u062a\u0627\u0628\u0639 verify_vrf \u0635\u062d\u062a \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u062a\u0627\u06cc\u06cc\u062f \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u062a\u0627\u0628\u0639 example_usage \u0646\u062d\u0648\u0647 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u06cc\u0646 \u062a\u0648\u0627\u0628\u0639 \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f.  \u0627\u06cc\u0646 \u06cc\u06a9 \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f \u062c\u062f\u06cc\u062f \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc \u06a9\u0646\u062f\u060c \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u067e\u06cc\u0627\u0645 \u0648\u0631\u0648\u062f\u06cc \u0646\u0645\u0648\u0646\u0647 (&#8220;Hello, VRF!&#8221;) \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc \u0645\u06cc \u06a9\u0646\u062f \u0648 \u0633\u067e\u0633 \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u062a\u0623\u06cc\u06cc\u062f \u0645\u06cc \u06a9\u0646\u062f.  \u0631\u0648\u0634 unpack(&#8216;H*&#8217;) \u062e\u0631\u0648\u062c\u06cc VRF \u0628\u0627\u06cc\u0646\u0631\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u062e\u0648\u0627\u0646\u0627\u06cc\u06cc \u0628\u0647\u062a\u0631 \u0628\u0647 \u06cc\u06a9 \u0631\u0634\u062a\u0647 \u0647\u06af\u0632\u0627\u062f\u0633\u06cc\u0645\u0627\u0644 \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>\u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0627\u06cc\u0646 \u06a9\u062f \u0631\u0627 \u0627\u062c\u0631\u0627 \u0645\u06cc \u06a9\u0646\u06cc\u062f\u060c \u0628\u0627\u06cc\u062f \u067e\u06cc\u0627\u0645 \u0648\u0631\u0648\u062f\u06cc\u060c \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u062f\u0631 \u0642\u0627\u0644\u0628 \u0647\u06af\u0632\u0627\u062f\u0633\u06cc\u0645\u0627\u0644 \u0648 \u0646\u062a\u06cc\u062c\u0647 \u062a\u0627\u06cc\u06cc\u062f VRF \u0645\u0634\u0627\u0647\u062f\u0647 \u06a9\u0646\u06cc\u062f.  \u0646\u062a\u06cc\u062c\u0647 \u062a\u0623\u06cc\u06cc\u062f \u0628\u0627\u06cc\u062f \u062f\u0631\u0633\u062a \u0628\u0627\u0634\u062f\u060c \u06a9\u0647 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f \u062e\u0631\u0648\u062c\u06cc VRF \u0628\u0647 \u062f\u0631\u0633\u062a\u06cc \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0645\u0631\u062a\u0628\u0637 \u0628\u0627 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0627\u06cc\u062c\u0627\u062f \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<p>\u0627\u06cc\u0646 \u0642\u0637\u0639\u0647 \u06a9\u062f \u06cc\u06a9 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0639\u0645\u0644\u06cc \u0648 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u0627\u0632 \u0645\u0641\u0647\u0648\u0645 VRF \u062f\u0631 Ruby \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u062a\u0648\u0644\u06cc\u062f \u06a9\u0644\u06cc\u062f\u060c \u0627\u0631\u0632\u06cc\u0627\u0628\u06cc VRF \u0648 \u0641\u0631\u0622\u06cc\u0646\u062f \u062a\u0623\u06cc\u06cc\u062f \u0631\u0627 \u0628\u0647 \u0646\u0645\u0627\u06cc\u0634 \u0645\u06cc\u200c\u06af\u0630\u0627\u0631\u062f.  \u0645\u06cc \u062a\u0648\u0627\u0646 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u062a\u0646\u0627\u0633\u0628 \u0645\u0648\u0627\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u062e\u0627\u0635 \u06af\u0633\u062a\u0631\u0634 \u062f\u0627\u062f \u0648 \u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0627\u062f\u063a\u0627\u0645 \u06a9\u0631\u062f \u062a\u0627 \u0627\u0645\u0646\u06cc\u062a \u0648 \u06cc\u06a9\u067e\u0627\u0631\u0686\u06af\u06cc \u0622\u0646\u0647\u0627 \u0631\u0627 \u0627\u0641\u0632\u0627\u06cc\u0634 \u062f\u0647\u062f.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%D9%88%DB%8C%DA%98%DA%AF%DB%8C_%D9%87%D8%A7%DB%8C_%D8%A7%D9%85%D9%86%DB%8C%D8%AA%DB%8C_VRF_%D9%87%D8%A7\"><\/span>\n<p>  \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc VRF \u0647\u0627<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>VRF \u0647\u0627 \u0628\u0627 \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u0642\u0648\u06cc \u0637\u0631\u0627\u062d\u06cc \u0634\u062f\u0647 \u0627\u0646\u062f \u0648 \u0627\u0632 \u0645\u0646\u0627\u0633\u0628 \u0628\u0648\u062f\u0646 \u0622\u0646\u0647\u0627 \u0628\u0631\u0627\u06cc \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0645\u06cc \u062f\u0647\u0646\u062f:<\/p>\n<ol>\n<li>\n<p><strong>\u063a\u06cc\u0631\u0642\u0627\u0628\u0644 \u062c\u0639\u0644 \u0648\u062c\u0648\u062f\u06cc \u062a\u062d\u062a \u062d\u0645\u0644\u0647 \u067e\u06cc\u0627\u0645 \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0647 (EUF-CMA)<\/strong>: VRF \u0647\u0627 \u0627\u0645\u0646\u06cc\u062a EUF-CMA \u0631\u0627 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc \u06a9\u0646\u0646\u062f\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u06cc\u06a9 \u062f\u0634\u0645\u0646 \u0646\u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u0628\u0631\u0627\u06cc \u0647\u0631 \u067e\u06cc\u0627\u0645\u06cc \u06a9\u0647 \u0642\u0628\u0644\u0627\u064b \u0646\u062f\u06cc\u062f\u0647 \u0627\u0633\u062a\u060c \u062d\u062a\u06cc \u067e\u0633 \u0627\u0632 \u0645\u0634\u0627\u0647\u062f\u0647 \u062e\u0631\u0648\u062c\u06cc \u0647\u0627\u06cc VRF \u0628\u0631\u0627\u06cc \u067e\u06cc\u0627\u0645 \u0647\u0627\u06cc \u062f\u06cc\u06af\u0631\u060c \u062c\u0639\u0644 \u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0639\u062f\u0645 \u062a\u0639\u0627\u0645\u0644<\/strong>: VRF \u0647\u0627 \u063a\u06cc\u0631 \u062a\u0639\u0627\u0645\u0644\u06cc \u0647\u0633\u062a\u0646\u062f \u0648 \u0627\u0645\u06a9\u0627\u0646 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0627\u0631\u0622\u0645\u062f \u0648 \u0633\u0631\u06cc\u0639 \u062e\u0631\u0648\u062c\u06cc VRF \u0631\u0627 \u0628\u062f\u0648\u0646 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0686\u0646\u062f\u06cc\u0646 \u062f\u0648\u0631 \u0627\u0631\u062a\u0628\u0627\u0637 \u0628\u06cc\u0646 \u0637\u0631\u0641\u06cc\u0646 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0631\u0627\u0632\u062f\u0627\u0631\u06cc \u0628\u0647 \u062c\u0644\u0648<\/strong>: VRF \u0647\u0627 \u0645\u062d\u0631\u0645\u0627\u0646\u0647 \u0628\u0648\u062f\u0646 \u0631\u0648 \u0628\u0647 \u062c\u0644\u0648 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u0646\u062f\u060c \u0628\u0647 \u0627\u06cc\u0646 \u0645\u0639\u0646\u06cc \u06a9\u0647 \u0628\u0647 \u062e\u0637\u0631 \u0627\u0641\u062a\u0627\u062f\u0646 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0637\u0648\u0644\u0627\u0646\u06cc \u0645\u062f\u062a\u060c \u0627\u0645\u0646\u06cc\u062a \u062e\u0631\u0648\u062c\u06cc \u0647\u0627\u06cc VRF \u0642\u0628\u0644\u06cc \u0631\u0627 \u0628\u0647 \u062e\u0637\u0631 \u0646\u0645\u06cc \u0627\u0646\u062f\u0627\u0632\u062f.  \u0647\u0631 \u062e\u0631\u0648\u062c\u06cc VRF \u0627\u06cc\u0645\u0646 \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f \u062d\u062a\u06cc \u0627\u06af\u0631 \u0628\u0639\u062f\u0627\u064b \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0628\u0647 \u062e\u0637\u0631 \u0628\u06cc\u0641\u062a\u062f.<\/p>\n<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"%D9%85%D9%88%D8%A7%D8%B1%D8%AF_%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D8%AF%D9%87_%D8%A7%D8%B2_VRFs\"><\/span>\n<p>  \u0645\u0648\u0627\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 VRFs<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062a\u0648\u0627\u0628\u0639 \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0627\u0628\u0644 \u062a\u0623\u06cc\u06cc\u062f\u060c \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627 \u0631\u0627 \u062f\u0631 \u0637\u06cc\u0641 \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc \u0627\u0632 \u0633\u0646\u0627\u0631\u06cc\u0648\u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u0646\u062f:<\/p>\n<ol>\n<li>\n<p><strong>\u0641\u0646\u0627\u0648\u0631\u06cc \u0628\u0644\u0627\u06a9 \u0686\u06cc\u0646<\/strong>: VRF \u0647\u0627 \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u0628\u0644\u0627\u06a9 \u0686\u06cc\u0646\u060c \u0628\u0647 \u0648\u06cc\u0698\u0647 \u062f\u0631 \u0628\u0644\u0627\u06a9 \u0686\u06cc\u0646 \u0647\u0627\u06cc \u0627\u062b\u0628\u0627\u062a \u0633\u0647\u0627\u0645 (PoS)\u060c \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u062e\u0627\u0628 \u062a\u0635\u0627\u062f\u0641\u06cc \u062a\u0627\u06cc\u06cc\u062f \u06a9\u0646\u0646\u062f\u0647 \u0647\u0627\u06cc \u0628\u0644\u0648\u06a9 \u0628\u062f\u0648\u0646 \u0627\u0641\u0634\u0627\u06cc \u0641\u0631\u0622\u06cc\u0646\u062f \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u0634\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u0646\u062f.  \u0627\u06cc\u0646 \u0641\u0631\u0622\u06cc\u0646\u062f \u0627\u0646\u062a\u062e\u0627\u0628 \u0627\u06cc\u0645\u0646 \u0648 \u0645\u0646\u0635\u0641\u0627\u0646\u0647 \u0631\u0627 \u062f\u0631 \u0639\u06cc\u0646 \u062d\u0641\u0638 \u06cc\u06a9\u067e\u0627\u0631\u0686\u06af\u06cc \u0628\u0644\u0627\u06a9 \u0686\u06cc\u0646 \u062a\u0636\u0645\u06cc\u0646 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0648\u0644\u06cc\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0627\u06cc\u0645\u0646<\/strong>: VRF \u0647\u0627 \u0646\u0642\u0634 \u062d\u06cc\u0627\u062a\u06cc \u062f\u0631 \u062a\u0648\u0644\u06cc\u062f \u0627\u0639\u062f\u0627\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u06cc \u0637\u0631\u0641\u0627\u0646\u0647 \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062a\u0648\u0632\u06cc\u0639 \u0634\u062f\u0647 \u0627\u06cc\u0641\u0627 \u0645\u06cc \u06a9\u0646\u0646\u062f.  \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c \u062f\u0631 \u0642\u0631\u0639\u0647\u200c\u06a9\u0634\u06cc\u200c\u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u06cc\u0627 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u062f\u0631\u0647\u0645\u200c\u0631\u0641\u062a\u0646\u060c VRF\u200c\u0647\u0627 \u0628\u0647 \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0627\u0632 \u063a\u06cc\u0631\u0642\u0627\u0628\u0644 \u067e\u06cc\u0634\u200c\u0628\u06cc\u0646\u06cc \u0628\u0648\u062f\u0646 \u0648 \u0639\u062f\u0627\u0644\u062a \u062f\u0631 \u0646\u062a\u06cc\u062c\u0647 \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0645\u0636\u0627\u0647\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644<\/strong>: \u0627\u0632 VRF \u0647\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0631\u0627\u06cc \u0627\u06cc\u062c\u0627\u062f \u0627\u0645\u0636\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0642\u0637\u0639\u06cc \u0648 \u062f\u0631 \u0639\u06cc\u0646 \u062d\u0627\u0644 \u063a\u06cc\u0631\u0642\u0627\u0628\u0644 \u067e\u06cc\u0634 \u0628\u06cc\u0646\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.  \u0627\u0645\u0636\u0627\u0647\u0627\u06cc \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 VRF \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0628\u0627 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc\u200c\u0647\u0627\u06cc \u0627\u0648\u0644\u06cc\u0647 \u0645\u0646\u0627\u0633\u0628 \u062a\u0631\u06a9\u06cc\u0628 \u0645\u06cc\u200c\u0634\u0648\u0646\u062f\u060c \u062a\u0636\u0645\u06cc\u0646\u200c\u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u0642\u0648\u06cc \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f \u0648 \u062f\u0631 \u0639\u06cc\u0646 \u062d\u0627\u0644 \u0627\u0632 \u0646\u06af\u0631\u0627\u0646\u06cc\u200c\u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0627\u062c\u062a\u0646\u0627\u0628 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u063a\u06cc\u0631 \u0645\u062a\u0645\u0631\u06a9\u0632<\/strong>: VRF \u0647\u0627 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u063a\u06cc\u0631\u0645\u062a\u0645\u0631\u06a9\u0632 (DApps) \u0631\u0627 \u0642\u0627\u062f\u0631 \u0645\u06cc \u0633\u0627\u0632\u0646\u062f \u062a\u0627 \u0628\u062f\u0648\u0646 \u0627\u062a\u06a9\u0627 \u0628\u0647 \u06cc\u06a9 \u0645\u0631\u062c\u0639 \u0645\u0631\u06a9\u0632\u06cc \u062a\u0635\u0645\u06cc\u0645\u0627\u062a \u0634\u0628\u0647 \u062a\u0635\u0627\u062f\u0641\u06cc \u0628\u06af\u06cc\u0631\u0646\u062f.  \u0627\u06cc\u0646 \u0627\u062c\u0627\u0632\u0647 \u0645\u06cc \u062f\u0647\u062f \u062a\u0627 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u063a\u06cc\u0631\u0642\u0627\u0628\u0644 \u0627\u0639\u062a\u0645\u0627\u062f \u0648 \u0634\u0641\u0627\u0641 \u062f\u0631 \u062d\u0648\u0632\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0645\u0627\u0646\u0646\u062f \u0628\u0627\u0632\u06cc\u060c \u0642\u0645\u0627\u0631 \u0648 \u0645\u0648\u0627\u0631\u062f \u062f\u06cc\u06af\u0631 \u0648\u062c\u0648\u062f \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u062d\u0641\u0638 \u062d\u0631\u06cc\u0645 \u062e\u0635\u0648\u0635\u06cc<\/strong>: VRF \u0647\u0627 \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u062f\u0631 \u067e\u0631\u0648\u062a\u06a9\u0644 \u0647\u0627\u06cc \u062d\u0641\u0638 \u062d\u0631\u06cc\u0645 \u062e\u0635\u0648\u0635\u06cc \u0645\u0627\u0646\u0646\u062f \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0646\u0627\u0634\u0646\u0627\u0633 \u06cc\u0627 \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062e\u0635\u0648\u0635\u06cc \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0642\u0631\u0627\u0631 \u062f\u0627\u062f \u0648 \u0627\u0632 \u062d\u0641\u0638 \u062d\u0631\u06cc\u0645 \u062e\u0635\u0648\u0635\u06cc \u06a9\u0627\u0631\u0628\u0631\u0627\u0646 \u0648 \u062f\u0631 \u0639\u06cc\u0646 \u062d\u0627\u0644 \u0641\u0639\u0627\u0644 \u06a9\u0631\u062f\u0646 \u062a\u0639\u0627\u0645\u0644\u0627\u062a \u0627\u0645\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f.<\/p>\n<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"%DA%86%D8%A7%D9%84%D8%B4_%D9%87%D8%A7_%D9%88_%D9%85%D9%84%D8%A7%D8%AD%D8%B8%D8%A7%D8%AA\"><\/span>\n<p>  \u0686\u0627\u0644\u0634 \u0647\u0627 \u0648 \u0645\u0644\u0627\u062d\u0638\u0627\u062a<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 VRF \u0647\u0627 \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0648 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0639\u0645\u0644\u06cc \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u0646\u062f\u060c \u0686\u0627\u0644\u0634 \u0647\u0627\u06cc\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0628\u0627\u06cc\u062f \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0647 \u0634\u0648\u0646\u062f:<\/p>\n<ol>\n<li>\n<p><strong>\u0628\u0647\u0631\u0647 \u0648\u0631\u06cc<\/strong>: \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc\u200c\u0647\u0627\u06cc VRF \u0628\u0627\u06cc\u062f \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u06a9\u0627\u0631\u0622\u0645\u062f \u0628\u0627\u0634\u0646\u062f\u060c \u0628\u0647\u200c\u0648\u06cc\u0698\u0647 \u062f\u0631 \u0645\u062d\u06cc\u0637\u200c\u0647\u0627\u06cc \u0628\u0627 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0645\u0646\u0627\u0628\u0639 \u0645\u0627\u0646\u0646\u062f \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u062a\u0639\u0628\u06cc\u0647\u200c\u0634\u062f\u0647 \u06cc\u0627 \u062f\u0633\u062a\u06af\u0627\u0647\u200c\u0647\u0627\u06cc \u0627\u06cc\u0646\u062a\u0631\u0646\u062a \u0627\u0634\u06cc\u0627\u060c \u06a9\u0647 \u062f\u0631 \u0622\u0646 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u067e\u0631\u0647\u0632\u06cc\u0646\u0647\u200c\u062a\u0631 \u0628\u0627\u0634\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0641\u0631\u0648\u0636\u0627\u062a \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc<\/strong>: \u0627\u0645\u0646\u06cc\u062a VRF \u0647\u0627 \u0628\u0631 \u0645\u0641\u0631\u0648\u0636\u0627\u062a \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u062e\u0627\u0635\u06cc \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a\u060c \u0645\u0627\u0646\u0646\u062f \u0633\u062e\u062a\u06cc \u0645\u0633\u0626\u0644\u0647 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645 \u06af\u0633\u0633\u062a\u0647 \u06cc\u0627 \u0645\u0634\u06a9\u0644 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645 \u06af\u0633\u0633\u062a\u0647 \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc.  \u0628\u0627 \u067e\u06cc\u0634\u0631\u0641\u062a \u062a\u062d\u0642\u06cc\u0642\u0627\u062a \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc\u060c \u0627\u06cc\u0646 \u0645\u0641\u0631\u0648\u0636\u0627\u062a \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0628\u0647 \u0631\u0648\u0632 \u0631\u0633\u0627\u0646\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u062f\u06cc\u0631\u06cc\u062a \u06a9\u0644\u06cc\u062f\u06cc<\/strong>: \u0645\u062f\u06cc\u0631\u06cc\u062a \u0635\u062d\u06cc\u062d \u06a9\u0644\u06cc\u062f \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc VRF \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a.  \u0628\u0631\u0627\u06cc \u062c\u0644\u0648\u06af\u06cc\u0631\u06cc \u0627\u0632 \u06af\u0645 \u0634\u062f\u0646 \u06cc\u0627 \u062f\u0633\u062a\u0631\u0633\u06cc \u063a\u06cc\u0631\u0645\u062c\u0627\u0632\u060c \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc \u062e\u0635\u0648\u0635\u06cc \u0628\u0627\u06cc\u062f \u0627\u06cc\u0645\u0646 \u0646\u06af\u0647 \u062f\u0627\u0634\u062a\u0647 \u0634\u0648\u0646\u062f \u0648 \u0627\u0632 \u0622\u0646\u0647\u0627 \u0646\u0633\u062e\u0647 \u067e\u0634\u062a\u06cc\u0628\u0627\u0646 \u062a\u0647\u06cc\u0647 \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f \u0633\u0627\u0632\u06cc<\/strong>\u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f \u06a9\u0631\u062f\u0646 \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc VRF \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u062f \u0642\u0627\u0628\u0644\u06cc\u062a \u0647\u0645\u06a9\u0627\u0631\u06cc \u0648 \u067e\u0630\u06cc\u0631\u0634 \u06af\u0633\u062a\u0631\u062f\u0647\u200c\u062a\u0631 \u0631\u0627 \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627 \u0648 \u067e\u0644\u062a\u0641\u0631\u0645\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0627\u0631\u062a\u0642\u0627 \u062f\u0647\u062f.<\/p>\n<\/li>\n<\/ol>\n<h2><span class=\"ez-toc-section\" id=\"%D9%86%D8%AA%DB%8C%D8%AC%D9%87\"><\/span>\n<p>  \u0646\u062a\u06cc\u062c\u0647<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062a\u0648\u0627\u0628\u0639 \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0627\u0628\u0644 \u062a\u0623\u06cc\u06cc\u062f (VRFs) \u0627\u0628\u0632\u0627\u0631\u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0627\u0633\u0627\u0633\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0628\u06cc\u0646 \u062c\u0628\u0631\u06af\u0631\u0627\u06cc\u06cc \u0648 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