{"id":477059,"date":"2023-08-09T09:06:59","date_gmt":"2023-08-09T09:06:59","guid":{"rendered":""},"modified":"2023-09-05T11:13:56","modified_gmt":"2023-09-05T11:13:56","slug":"elliptic-curve-cryptography","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/ar\/wiki\/elliptic-curve-cryptography\/","title":{"rendered":"\u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a"},"content":{"rendered":"<p>\u064a\u0639\u062f \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a (ECC) \u0637\u0631\u064a\u0642\u0629 \u062a\u0634\u0641\u064a\u0631 \u062d\u062f\u064a\u062b\u0629 \u0648\u0641\u0639\u0627\u0644\u0629 \u0644\u0644\u063a\u0627\u064a\u0629 \u0644\u0644\u0645\u0641\u062a\u0627\u062d \u0627\u0644\u0639\u0627\u0645 \u062a\u0633\u062a\u062e\u062f\u0645 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\u0645\u0641\u062a\u0648\u062d.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u062a\u0634\u0641\u064a\u0631<\/strong>: \u0644\u062a\u0634\u0641\u064a\u0631 \u0631\u0633\u0627\u0644\u0629 \u0644\u0644\u0645\u0633\u062a\u0644\u0645\u060c \u064a\u0633\u062a\u062e\u062f\u0645 \u0627\u0644\u0645\u0631\u0633\u0644 \u0627\u0644\u0645\u0641\u062a\u0627\u062d \u0627\u0644\u0639\u0627\u0645 \u0644\u0644\u0645\u0633\u062a\u0644\u0645 \u0644\u062a\u062d\u0648\u064a\u0644 \u0627\u0644\u0646\u0635 \u0627\u0644\u0639\u0627\u062f\u064a \u0625\u0644\u0649 \u0646\u0635 \u0645\u0634\u0641\u0631. \u064a\u0645\u0643\u0646 \u0641\u0642\u0637 \u0644\u0644\u0645\u0633\u062a\u0644\u0645 \u0627\u0644\u0630\u064a \u0644\u062f\u064a\u0647 \u0627\u0644\u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062e\u0627\u0635 \u0627\u0644\u0645\u0642\u0627\u0628\u0644 \u0641\u0643 \u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0646\u0635 \u0627\u0644\u0645\u0634\u0641\u0631 \u0648\u0627\u0633\u062a\u0639\u0627\u062f\u0629 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\u0647\u0648 \u0627\u0644\u0628\u0646\u064a\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0644\u0644\u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a\u0629. \u064a\u062a\u0645 \u062a\u0639\u0631\u064a\u0641 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a \u0628\u0648\u0627\u0633\u0637\u0629 \u0645\u0639\u0627\u062f\u0644\u0629 \u0627\u0644\u0646\u0645\u0648\u0630\u062c:<\/p>\n<pre><div class=\"bg-black rounded-md mb-4\"><div class=\"flex items-center relative text-gray-200 bg-gray-800 px-4 py-2 text-xs font-sans justify-between rounded-t-md\"><span>\u0627\u0644\u0645\u063a\u0644\u0642<\/span><button class=\"flex ml-auto gap-2\"><svg stroke=\"currentColor\" fill=\"none\" stroke-width=\"2\" viewbox=\"0 0 24 24\" stroke-linecap=\"round\" stroke-linejoin=\"round\" class=\"h-4 w-4\" height=\"1em\" width=\"1em\" ><path d=\"M16 4h2a2 2 0 0 1 2 2v14a2 2 0 0 1-2 2H6a2 2 0 0 1-2-2V6a2 2 0 0 1 2-2h2\"><\/path><rect x=\"8\" y=\"2\" width=\"8\" height=\"4\" rx=\"1\" ry=\"1\"><\/rect><\/svg>\u0631\u0645\u0632 \u0627\u0644\u0646\u0633\u062e<\/button><\/div><div class=\"p-4 overflow-y-auto\"><code class=\"!whitespace-pre hljs language-css\" data-no-translation=\"\">y^<span class=\"hljs-number\">2<\/span> = x^<span class=\"hljs-number\">3<\/span> + ax + <span class=\"hljs-selector-tag\">b<\/span>\n<\/code><\/div><\/div><\/pre>\n<p>\u0623\u064a\u0646 <code data-no-translation=\"\">a<\/code> \u0648 <code data-no-translation=\"\">b<\/code> \u0647\u064a \u062b\u0648\u0627\u0628\u062a. \u064a\u062d\u062a\u0648\u064a \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0639\u0644\u0649 \u062e\u0635\u0627\u0626\u0635 \u0625\u0636\u0627\u0641\u064a\u0629 \u062a\u062c\u0639\u0644\u0647 \u0642\u0627\u0628\u0644\u0627\u064b \u0644\u0639\u0645\u0644\u064a\u0627\u062a \u0627\u0644\u062a\u0634\u0641\u064a\u0631.<\/p>\n<p>\u062a\u0639\u062a\u0645\u062f ECC \u0639\u0644\u0649 \u0635\u0639\u0648\u0628\u0629 \u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0645\u0646\u0641\u0635\u0644 \u0644\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a. \u0646\u0638\u0631\u0627 \u0644\u0646\u0642\u0637\u0629 <code data-no-translation=\"\">P<\/code> \u0639\u0644\u0649 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0648\u0639\u062f\u062f\u064a <code data-no-translation=\"\">n<\/code>\u0648\u0627\u0644\u062d\u0648\u0633\u0628\u0629 <code data-no-translation=\"\">nP<\/code> \u0647\u0648 \u0648\u0627\u0636\u062d \u0646\u0633\u0628\u064a\u0627. \u0648\u0645\u0639 \u0630\u0644\u0643\u060c \u0646\u0638\u0631\u0627 <code data-no-translation=\"\">P<\/code> \u0648 <code data-no-translation=\"\">nP<\/code>\u060c \u0627\u0644\u0639\u062b\u0648\u0631 \u0639\u0644\u0649 \u0627\u0644\u0639\u062f\u062f\u064a\u0629 <code data-no-translation=\"\">n<\/code> \u063a\u064a\u0631 \u0645\u0645\u0643\u0646 \u062d\u0633\u0627\u0628\u064a\u0627. \u062a\u0634\u0643\u0644 \u0647\u0630\u0647 \u0627\u0644\u062e\u0627\u0635\u064a\u0629 \u0627\u0644\u0623\u0633\u0627\u0633 \u0644\u0623\u0645\u0646 ECC.<\/p>\n<p>\u064a\u0643\u0645\u0646 \u0623\u0645\u0627\u0646 ECC \u0641\u064a \u0635\u0639\u0648\u0628\u0629 \u062d\u0644 \u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0644\u0648\u063a\u0627\u0631\u064a\u062a\u0645 \u0627\u0644\u0645\u0646\u0641\u0635\u0644 \u0644\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a. \u0639\u0644\u0649 \u0639\u0643\u0633 RSA\u060c \u0627\u0644\u0630\u064a \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0645\u0634\u0643\u0644\u0629 \u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0635\u062d\u064a\u062d\u0629\u060c \u064a\u0646\u0628\u0639 \u0623\u0645\u0627\u0646 ECC \u0645\u0646 \u0635\u0639\u0648\u0628\u0629 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629 \u0627\u0644\u0631\u064a\u0627\u0636\u064a\u0629 \u0627\u0644\u0645\u062d\u062f\u062f\u0629.<\/p>\n<h2>\u062a\u062d\u0644\u064a\u0644 \u0627\u0644\u0633\u0645\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0644\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a<\/h2>\n<p>\u064a\u0648\u0641\u0631 \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a \u0627\u0644\u0639\u062f\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u064a\u0632\u0627\u062a \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0633\u0627\u0647\u0645 \u0641\u064a \u0634\u0639\u0628\u064a\u062a\u0647 \u0648\u0627\u0639\u062a\u0645\u0627\u062f\u0647:<\/p>\n<ol>\n<li>\n<p><strong>\u0623\u0645\u0646 \u0642\u0648\u064a<\/strong>: \u062a\u0648\u0641\u0631 ECC \u0645\u0633\u062a\u0648\u0649 \u0639\u0627\u0644\u064d \u0645\u0646 \u0627\u0644\u0623\u0645\u0627\u0646 \u0628\u0623\u0637\u0648\u0627\u0644 \u0645\u0641\u0627\u062a\u064a\u062d \u0623\u0642\u0635\u0631 \u0645\u0642\u0627\u0631\u0646\u0629 \u0628\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0623\u062e\u0631\u0649 \u0630\u0627\u062a \u0627\u0644\u0645\u0641\u062a\u0627\u062d \u0627\u0644\u0639\u0627\u0645. \u0648\u064a\u0624\u062f\u064a \u0647\u0630\u0627 \u0625\u0644\u0649 \u0627\u0646\u062e\u0641\u0627\u0636 \u0627\u0644\u0645\u062a\u0637\u0644\u0628\u0627\u062a \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629 \u0648\u0623\u062f\u0627\u0621 \u0623\u0633\u0631\u0639.<\/p>\n<\/li>\n<li>\n<p><strong>\u0643\u0641\u0627\u0621\u0629<\/strong>: \u062a\u062a\u0645\u064a\u0632 \u062a\u0642\u0646\u064a\u0629 ECC \u0628\u0627\u0644\u0643\u0641\u0627\u0621\u0629\u060c \u0645\u0645\u0627 \u064a\u062c\u0639\u0644\u0647\u0627 \u0645\u0646\u0627\u0633\u0628\u0629 \u0644\u0644\u0623\u062c\u0647\u0632\u0629 \u0630\u0627\u062a \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u0645\u062d\u062f\u0648\u062f\u0629 \u0645\u062b\u0644 \u0627\u0644\u0647\u0648\u0627\u062a\u0641 \u0627\u0644\u0630\u0643\u064a\u0629 \u0648\u0623\u062c\u0647\u0632\u0629 \u0625\u0646\u062a\u0631\u0646\u062a \u0627\u0644\u0623\u0634\u064a\u0627\u0621.<\/p>\n<\/li>\n<li>\n<p><strong>\u0623\u062d\u062c\u0627\u0645 \u0645\u0641\u0627\u062a\u064a\u062d \u0623\u0635\u063a\u0631<\/strong>: \u0623\u062d\u062c\u0627\u0645 \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0627\u0644\u0623\u0635\u063a\u0631 \u062a\u0639\u0646\u064a \u0645\u0633\u0627\u062d\u0629 \u062a\u062e\u0632\u064a\u0646 \u0623\u0642\u0644 \u0648\u0646\u0642\u0644 \u0623\u0633\u0631\u0639 \u0644\u0644\u0628\u064a\u0627\u0646\u0627\u062a\u060c \u0648\u0647\u0648 \u0623\u0645\u0631 \u0628\u0627\u0644\u063a \u0627\u0644\u0623\u0647\u0645\u064a\u0629 \u0641\u064a \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u062d\u062f\u064a\u062b\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u0633\u0631\u064a\u0629 \u0625\u0644\u0649 \u0627\u0644\u0623\u0645\u0627\u0645<\/strong>: \u062a\u0648\u0641\u0631 ECC \u0627\u0644\u0633\u0631\u064a\u0629 \u0627\u0644\u0623\u0645\u0627\u0645\u064a\u0629\u060c \u0645\u0645\u0627 \u064a\u0636\u0645\u0646 \u0623\u0646\u0647 \u062d\u062a\u0649 \u0644\u0648 \u062a\u0645 \u0627\u062e\u062a\u0631\u0627\u0642 \u0627\u0644\u0645\u0641\u062a\u0627\u062d \u0627\u0644\u062e\u0627\u0635 \u0644\u062c\u0644\u0633\u0629 \u0648\u0627\u062d\u062f\u0629\u060c \u0641\u0625\u0646 \u0627\u0644\u0627\u062a\u0635\u0627\u0644\u0627\u062a \u0627\u0644\u0633\u0627\u0628\u0642\u0629 \u0648\u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644\u064a\u0629 \u062a\u0638\u0644 \u0622\u0645\u0646\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u062a\u0648\u0627\u0641\u0642<\/strong>: \u064a\u0645\u0643\u0646 \u062f\u0645\u062c ECC \u0628\u0633\u0647\u0648\u0644\u0629 \u0641\u064a \u0623\u0646\u0638\u0645\u0629 \u0648\u0628\u0631\u0648\u062a\u0648\u0643\u0648\u0644\u0627\u062a \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u062d\u0627\u0644\u064a\u0629.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0623\u0646\u0648\u0627\u0639 \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a<\/h2>\n<p>\u0647\u0646\u0627\u0643 \u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0648\u0645\u0639\u0644\u0645\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629 \u0644\u0640 ECC\u060c \u0627\u0639\u062a\u0645\u0627\u062f\u064b\u0627 \u0639\u0644\u0649 \u0627\u062e\u062a\u064a\u0627\u0631 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a \u0648\u0627\u0644\u0645\u062c\u0627\u0644 \u0627\u0644\u0623\u0633\u0627\u0633\u064a \u0644\u0647. \u062a\u0634\u0645\u0644 \u0627\u0644\u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a \u0627\u0644\u0634\u0627\u0626\u0639\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u0627 \u064a\u0644\u064a:<\/p>\n<ol>\n<li>\n<p><strong>\u0645\u0646\u062d\u0646\u0649 \u062f\u064a\u0641\u064a \u0647\u064a\u0644\u0645\u0627\u0646 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a (ECDH)<\/strong>: \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u062a\u0628\u0627\u062f\u0644 \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0641\u064a \u0625\u0646\u0634\u0627\u0621 \u0642\u0646\u0648\u0627\u062a \u0627\u062a\u0635\u0627\u0644 \u0622\u0645\u0646\u0629.<\/p>\n<\/li>\n<li>\n<p><strong>\u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0629 \u0627\u0644\u062a\u0648\u0642\u064a\u0639 \u0627\u0644\u0631\u0642\u0645\u064a \u0630\u0627\u062a \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a (ECDSA)<\/strong>: \u064a\u0633\u062a\u062e\u062f\u0645 \u0644\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u062a\u0648\u0642\u064a\u0639\u0627\u062a \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646\u0647\u0627 \u0644\u0645\u0635\u0627\u062f\u0642\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u0627\u0644\u0631\u0633\u0627\u0626\u0644.<\/p>\n<\/li>\n<li>\n<p><strong>\u0646\u0638\u0627\u0645 \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0645\u062a\u0643\u0627\u0645\u0644 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a (ECIES)<\/strong>: \u0646\u0638\u0627\u0645 \u062a\u0634\u0641\u064a\u0631 \u0647\u062c\u064a\u0646 \u064a\u062c\u0645\u0639 \u0628\u064a\u0646 ECC \u0648\u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644 \u0644\u0646\u0642\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0628\u0634\u0643\u0644 \u0622\u0645\u0646.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0625\u062f\u0648\u0627\u0631\u062f\u0632 \u0648\u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0625\u062f\u0648\u0627\u0631\u062f\u0632 \u0627\u0644\u0645\u0644\u062a\u0648\u064a\u0629<\/strong>: \u0627\u0644\u0623\u0634\u0643\u0627\u0644 \u0627\u0644\u0628\u062f\u064a\u0644\u0629 \u0644\u0644\u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a\u0629 \u0627\u0644\u062a\u064a \u062a\u0642\u062f\u0645 \u062e\u0635\u0627\u0626\u0635 \u0631\u064a\u0627\u0636\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629.<\/p>\n<\/li>\n<\/ol>\n<p>\u0641\u064a\u0645\u0627 \u064a\u0644\u064a \u062c\u062f\u0648\u0644 \u0645\u0642\u0627\u0631\u0646\u0629 \u064a\u0639\u0631\u0636 \u0628\u0639\u0636 \u0627\u062e\u062a\u0644\u0627\u0641\u0627\u062a ECC:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0627\u062e\u062a\u0644\u0627\u0641 ECC<\/th>\n<th>\u062d\u0627\u0644\u0629 \u0627\u0644\u0627\u0633\u062a\u062e\u062f\u0627\u0645<\/th>\n<th>\u0637\u0648\u0644 \u0627\u0644\u0645\u0641\u062a\u0627\u062d<\/th>\n<th>\u0627\u0644\u0645\u064a\u0632\u0627\u062a \u0627\u0644\u0628\u0627\u0631\u0632\u0629<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>ECDH<\/td>\n<td>\u062a\u0628\u0627\u062f\u0644 \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d<\/td>\n<td>\u0623\u0642\u0635\u0631<\/td>\n<td>\u062a\u0645\u0643\u064a\u0646 \u0642\u0646\u0648\u0627\u062a \u0627\u0644\u0627\u062a\u0635\u0627\u0644 \u0627\u0644\u0622\u0645\u0646\u0629<\/td>\n<\/tr>\n<tr>\n<td>ECDSA<\/td>\n<td>\u0627\u0644\u062a\u0648\u0642\u064a\u0639\u0627\u062a \u0627\u0644\u0631\u0642\u0645\u064a\u0629<\/td>\n<td>\u0623\u0642\u0635\u0631<\/td>\n<td>\u064a\u0648\u0641\u0631 \u0645\u0635\u0627\u062f\u0642\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u0627\u0644\u0631\u0633\u0627\u0626\u0644<\/td>\n<\/tr>\n<tr>\n<td>ECIES<\/td>\n<td>\u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0647\u062c\u064a\u0646<\/td>\n<td>\u0623\u0642\u0635\u0631<\/td>\n<td>\u064a\u062c\u0645\u0639 \u0628\u064a\u0646 ECC \u0648\u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644<\/td>\n<\/tr>\n<tr>\n<td>\u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0625\u062f\u0648\u0627\u0631\u062f\u0632<\/td>\n<td>\u0647\u062f\u0641 \u0639\u0627\u0645<\/td>\n<td>\u0623\u0642\u0635\u0631<\/td>\n<td>\u064a\u0642\u062f\u0645 \u062e\u0635\u0627\u0626\u0635 \u0631\u064a\u0627\u0636\u064a\u0629 \u0645\u062e\u062a\u0644\u0641\u0629<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0637\u0631\u0642 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a \u0648\u0627\u0644\u0645\u0634\u0643\u0644\u0627\u062a \u0648\u0627\u0644\u062d\u0644\u0648\u0644<\/h2>\n<p>\u062a\u062c\u062f ECC \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0641\u064a \u0645\u062c\u0627\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0628\u0645\u0627 \u0641\u064a \u0630\u0644\u0643:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0644\u062a\u0648\u0627\u0635\u0644 \u0627\u0644\u0622\u0645\u0646<\/strong>: \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 ECC \u0641\u064a \u0628\u0631\u0648\u062a\u0648\u0643\u0648\u0644\u0627\u062a SSL\/TLS \u0644\u062a\u0623\u0645\u064a\u0646 \u0627\u062a\u0635\u0627\u0644\u0627\u062a \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a \u0628\u064a\u0646 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0648\u0627\u0644\u0639\u0645\u0644\u0627\u0621.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u062a\u0648\u0642\u064a\u0639\u0627\u062a \u0627\u0644\u0631\u0642\u0645\u064a\u0629<\/strong>: \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 ECC \u0644\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u062a\u0648\u0642\u064a\u0639\u0627\u062a \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0648\u0627\u0644\u062a\u062d\u0642\u0642 \u0645\u0646\u0647\u0627\u060c \u0645\u0645\u0627 \u064a\u0636\u0645\u0646 \u0635\u062d\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0648\u0633\u0644\u0627\u0645\u062a\u0647\u0627.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u0623\u062c\u0647\u0632\u0629 \u0627\u0644\u0645\u062d\u0645\u0648\u0644\u0629 \u0648\u0625\u0646\u062a\u0631\u0646\u062a \u0627\u0644\u0623\u0634\u064a\u0627\u0621<\/strong>: \u0646\u0638\u0631\u064b\u0627 \u0644\u0643\u0641\u0627\u0621\u062a\u0647\u0627 \u0648\u0623\u062d\u062c\u0627\u0645 \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0627\u0644\u0635\u063a\u064a\u0631\u0629\u060c \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 ECC \u0639\u0644\u0649 \u0646\u0637\u0627\u0642 \u0648\u0627\u0633\u0639 \u0641\u064a \u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0647\u0627\u062a\u0641 \u0627\u0644\u0645\u062d\u0645\u0648\u0644 \u0648\u0623\u062c\u0647\u0632\u0629 \u0625\u0646\u062a\u0631\u0646\u062a \u0627\u0644\u0623\u0634\u064a\u0627\u0621.<\/p>\n<\/li>\n<\/ol>\n<p>\u0639\u0644\u0649 \u0627\u0644\u0631\u063a\u0645 \u0645\u0646 \u0646\u0642\u0627\u0637 \u0642\u0648\u062a\u0647\u0627\u060c \u062a\u0648\u0627\u062c\u0647 ECC \u062a\u062d\u062f\u064a\u0627\u062a \u0623\u064a\u0636\u064b\u0627:<\/p>\n<ol>\n<li>\n<p><strong>\u0642\u0636\u0627\u064a\u0627 \u0628\u0631\u0627\u0621\u0627\u062a \u0627\u0644\u0627\u062e\u062a\u0631\u0627\u0639 \u0648\u0627\u0644\u062a\u0631\u062e\u064a\u0635<\/strong>: \u062d\u0635\u0644\u062a \u0628\u0639\u0636 \u062e\u0648\u0627\u0631\u0632\u0645\u064a\u0627\u062a ECC \u0639\u0644\u0649 \u0628\u0631\u0627\u0621\u0629 \u0627\u062e\u062a\u0631\u0627\u0639 \u0641\u064a \u0627\u0644\u0628\u062f\u0627\u064a\u0629\u060c \u0645\u0645\u0627 \u0623\u062f\u0649 \u0625\u0644\u0649 \u0645\u062e\u0627\u0648\u0641 \u0628\u0634\u0623\u0646 \u062d\u0642\u0648\u0642 \u0627\u0644\u0645\u0644\u0643\u064a\u0629 \u0627\u0644\u0641\u0643\u0631\u064a\u0629 \u0648\u0627\u0644\u062a\u0631\u062e\u064a\u0635.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0647\u062f\u064a\u062f\u0627\u062a \u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0627\u0644\u0643\u0645\u0648\u0645\u064a\u0629<\/strong>: \u0645\u062b\u0644 \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u063a\u064a\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629 \u0627\u0644\u0623\u062e\u0631\u0649\u060c \u0641\u0625\u0646 ECC \u0639\u0631\u0636\u0629 \u0644\u0647\u062c\u0645\u0627\u062a \u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0627\u0644\u0643\u0645\u0648\u0645\u064a\u0629. \u064a\u062c\u0631\u064a \u062a\u0637\u0648\u064a\u0631 \u0645\u062a\u063a\u064a\u0631\u0627\u062a ECC \u0627\u0644\u0645\u0642\u0627\u0648\u0645\u0629 \u0644\u0644\u0643\u0645 \u0644\u0645\u0639\u0627\u0644\u062c\u0629 \u0647\u0630\u0647 \u0627\u0644\u0645\u0634\u0643\u0644\u0629.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0627\u0644\u062e\u0635\u0627\u0626\u0635 \u0627\u0644\u0631\u0626\u064a\u0633\u064a\u0629 \u0648\u0627\u0644\u0645\u0642\u0627\u0631\u0646\u0627\u062a \u0645\u0639 \u0645\u0635\u0637\u0644\u062d\u0627\u062a \u0645\u0645\u0627\u062b\u0644\u0629<\/h2>\n<p>\u062f\u0639\u0648\u0646\u0627 \u0646\u0642\u0627\u0631\u0646 ECC \u0645\u0639 RSA\u060c \u0623\u062d\u062f \u0623\u0646\u0638\u0645\u0629 \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u063a\u064a\u0631 \u0627\u0644\u0645\u062a\u0645\u0627\u062b\u0644\u0629 \u0627\u0644\u0623\u0643\u062b\u0631 \u0627\u0633\u062a\u062e\u062f\u0627\u0645\u064b\u0627:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0635\u0641\u0629 \u0645\u0645\u064a\u0632\u0629<\/th>\n<th>\u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a (ECC)<\/th>\n<th>\u0622\u0631 \u0625\u0633 \u0625\u064a\u0647<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0637\u0648\u0644 \u0627\u0644\u0645\u0641\u062a\u0627\u062d \u0644\u0644\u0623\u0645\u0627\u0646 \u0627\u0644\u0645\u0643\u0627\u0641\u0626<\/td>\n<td>\u0623\u0637\u0648\u0627\u0644 \u0645\u0641\u0627\u062a\u064a\u062d \u0623\u0642\u0635\u0631 (\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c 256 \u0628\u062a)<\/td>\n<td>\u0623\u0637\u0648\u0627\u0644 \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0627\u0644\u0623\u0637\u0648\u0644 (\u0639\u0644\u0649 \u0633\u0628\u064a\u0644 \u0627\u0644\u0645\u062b\u0627\u0644\u060c 2048 \u0628\u062a)<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0644\u0643\u0641\u0627\u0621\u0629 \u0627\u0644\u062d\u0633\u0627\u0628\u064a\u0629<\/td>\n<td>\u0623\u0643\u062b\u0631 \u0643\u0641\u0627\u0621\u0629\u060c \u062e\u0627\u0635\u0629 \u0628\u0627\u0644\u0646\u0633\u0628\u0629 \u0644\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0627\u0644\u0635\u063a\u064a\u0631\u0629<\/td>\n<td>\u0623\u0642\u0644 \u0643\u0641\u0627\u0621\u0629 \u0644\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0627\u0644\u0643\u0628\u064a\u0631\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u062d\u0645\u0627\u064a\u0629<\/td>\n<td>\u0623\u0645\u0627\u0646 \u0642\u0648\u064a \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0645\u0646\u062d\u0646\u064a\u0627\u062a \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a\u0629<\/td>\n<td>\u0623\u0645\u0627\u0646 \u0642\u0648\u064a \u064a\u0639\u062a\u0645\u062f \u0639\u0644\u0649 \u0627\u0644\u0623\u0639\u062f\u0627\u062f \u0627\u0644\u0623\u0648\u0644\u064a\u0629<\/td>\n<\/tr>\n<tr>\n<td>\u0633\u0631\u0639\u0629 \u062a\u0648\u0644\u064a\u062f \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d<\/td>\n<td>\u062a\u0648\u0644\u064a\u062f \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0628\u0634\u0643\u0644 \u0623\u0633\u0631\u0639<\/td>\n<td>\u0623\u0628\u0637\u0623 \u0641\u064a \u062a\u0648\u0644\u064a\u062f \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d<\/td>\n<\/tr>\n<tr>\n<td>\u0625\u0646\u0634\u0627\u0621 \u0627\u0644\u062a\u0648\u0642\u064a\u0639\/\u0627\u0644\u062a\u062d\u0642\u0642<\/td>\n<td>\u0623\u0633\u0631\u0639 \u0628\u0634\u0643\u0644 \u0639\u0627\u0645<\/td>\n<td>\u0623\u0628\u0637\u0623\u060c \u0648\u062e\u0627\u0635\u0629 \u0644\u0644\u062a\u062d\u0642\u0642<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0648\u062c\u0647\u0627\u062a \u0646\u0638\u0631 \u0648\u062a\u0642\u0646\u064a\u0627\u062a \u0627\u0644\u0645\u0633\u062a\u0642\u0628\u0644 \u0627\u0644\u0645\u062a\u0639\u0644\u0642\u0629 \u0628\u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a<\/h2>\n<p>\u064a\u0628\u062f\u0648 \u0645\u0633\u062a\u0642\u0628\u0644 ECC \u0648\u0627\u0639\u062f\u064b\u0627. \u0645\u0639 \u0627\u0633\u062a\u0645\u0631\u0627\u0631 \u062a\u0632\u0627\u064a\u062f \u0627\u0644\u062d\u0627\u062c\u0629 \u0625\u0644\u0649 \u0627\u0644\u0627\u062a\u0635\u0627\u0644\u0627\u062a \u0627\u0644\u0622\u0645\u0646\u0629\u060c \u0633\u062a\u0644\u0639\u0628 ECC \u062f\u0648\u0631\u064b\u0627 \u062d\u0627\u0633\u0645\u064b\u0627\u060c \u062e\u0627\u0635\u0629 \u0641\u064a \u0627\u0644\u0628\u064a\u0626\u0627\u062a \u0627\u0644\u0645\u062d\u062f\u0648\u062f\u0629 \u0627\u0644\u0645\u0648\u0627\u0631\u062f. \u0648\u062a\u0633\u062a\u0645\u0631 \u0627\u0644\u062c\u0647\u0648\u062f \u0627\u0644\u0628\u062d\u062b\u064a\u0629 \u0644\u062a\u0637\u0648\u064a\u0631 \u0645\u062a\u063a\u064a\u0631\u0627\u062a ECC \u0627\u0644\u0645\u0642\u0627\u0648\u0645\u0629 \u0644\u0644\u0643\u0645\u060c \u0645\u0645\u0627 \u064a\u0636\u0645\u0646 \u0627\u0633\u062a\u0645\u0631\u0627\u0631\u064a\u062a\u0647\u0627 \u0639\u0644\u0649 \u0627\u0644\u0645\u062f\u0649 \u0627\u0644\u0637\u0648\u064a\u0644 \u0641\u064a \u0639\u0627\u0644\u0645 \u0645\u0627 \u0628\u0639\u062f \u0627\u0644\u062d\u0648\u0633\u0628\u0629 \u0627\u0644\u0643\u0645\u0648\u0645\u064a\u0629.<\/p>\n<h2>\u0643\u064a\u0641 \u064a\u0645\u0643\u0646 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0623\u0648 \u0631\u0628\u0637\u0647\u0627 \u0628\u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a<\/h2>\n<p>\u062a\u0639\u0645\u0644 \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u0643\u0648\u0633\u064a\u0637 \u0628\u064a\u0646 \u0627\u0644\u0639\u0645\u0644\u0627\u0621 \u0648\u0627\u0644\u062e\u0648\u0627\u062f\u0645\u060c \u062d\u064a\u062b \u062a\u0642\u0648\u0645 \u0628\u0625\u0639\u0627\u062f\u0629 \u062a\u0648\u062c\u064a\u0647 \u0637\u0644\u0628\u0627\u062a \u0627\u0644\u0639\u0645\u064a\u0644 \u0648\u062a\u0644\u0642\u064a \u0627\u0633\u062a\u062c\u0627\u0628\u0627\u062a \u0627\u0644\u062e\u0627\u062f\u0645. \u0628\u064a\u0646\u0645\u0627 \u064a\u062a\u0645 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 ECC \u0641\u064a \u0627\u0644\u0645\u0642\u0627\u0645 \u0627\u0644\u0623\u0648\u0644 \u0644\u0644\u0627\u062a\u0635\u0627\u0644 \u0627\u0644\u0622\u0645\u0646 \u0628\u064a\u0646 \u0627\u0644\u0645\u0633\u062a\u062e\u062f\u0645\u064a\u0646 \u0627\u0644\u0646\u0647\u0627\u0626\u064a\u064a\u0646 \u0648\u0627\u0644\u062e\u0648\u0627\u062f\u0645\u060c \u064a\u0645\u0643\u0646 \u0644\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629 \u062a\u0639\u0632\u064a\u0632 \u0627\u0644\u0623\u0645\u0627\u0646 \u0645\u0646 \u062e\u0644\u0627\u0644 \u062a\u0646\u0641\u064a\u0630 \u0628\u0631\u0648\u062a\u0648\u0643\u0648\u0644\u0627\u062a \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0648\u0627\u0644\u0645\u0635\u0627\u062f\u0642\u0629 \u0627\u0644\u0645\u0633\u062a\u0646\u062f\u0629 \u0625\u0644\u0649 ECC \u0641\u064a \u0627\u062a\u0635\u0627\u0644\u0627\u062a\u0647\u0627 \u0645\u0639 \u0643\u0644 \u0645\u0646 \u0627\u0644\u0639\u0645\u0644\u0627\u0621 \u0648\u0627\u0644\u062e\u0648\u0627\u062f\u0645.<\/p>\n<p>\u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0645\u064a\u0632\u0629 ECC \u0641\u064a \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629\u060c \u064a\u0645\u0643\u0646 \u062a\u0623\u0645\u064a\u0646 \u0646\u0642\u0644 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0628\u064a\u0646 \u0627\u0644\u0639\u0645\u0644\u0627\u0621 \u0648\u0627\u0644\u062e\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u060c \u0648\u0643\u0630\u0644\u0643 \u0628\u064a\u0646 \u0627\u0644\u062e\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644 \u0648\u0627\u0644\u062e\u0627\u062f\u0645 \u0627\u0644\u0648\u062c\u0647\u0629\u060c \u0628\u0627\u0633\u062a\u062e\u062f\u0627\u0645 \u0623\u0637\u0648\u0627\u0644 \u0645\u0641\u0627\u062a\u064a\u062d \u0623\u0642\u0635\u0631\u060c \u0645\u0645\u0627 \u064a\u0642\u0644\u0644 \u0645\u0646 \u0627\u0644\u062d\u0645\u0644 \u0627\u0644\u062d\u0633\u0627\u0628\u064a \u0648\u064a\u062d\u0633\u0646 \u0627\u0644\u0623\u062f\u0627\u0621 \u0627\u0644\u0639\u0627\u0645.<\/p>\n<h2>\u0631\u0648\u0627\u0628\u0637 \u0630\u0627\u062a \u0639\u0644\u0627\u0642\u0629<\/h2>\n<p>\u0644\u0645\u0632\u064a\u062f \u0645\u0646 \u0627\u0644\u0645\u0639\u0644\u0648\u0645\u0627\u062a \u062d\u0648\u0644 \u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a\u060c \u064a\u0645\u0643\u0646\u0643 \u0627\u0633\u062a\u0643\u0634\u0627\u0641 \u0627\u0644\u0645\u0648\u0627\u0631\u062f \u0627\u0644\u062a\u0627\u0644\u064a\u0629:<\/p>\n<ol>\n<li><a href=\"https:\/\/csrc.nist.gov\/projects\/elliptic-curve-cryptography\" target=\"_new\" rel=\"noopener nofollow\">\u0627\u0644\u0645\u0639\u0647\u062f \u0627\u0644\u0648\u0637\u0646\u064a \u0644\u0644\u0645\u0639\u0627\u064a\u064a\u0631 \u0648\u0627\u0644\u062a\u0643\u0646\u0648\u0644\u0648\u062c\u064a\u0627 (NIST) \u2013 \u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a<\/a><\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Elliptic-curve_cryptography\" target=\"_new\" rel=\"noopener nofollow\">\u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a \u0648\u064a\u0643\u064a\u0628\u064a\u062f\u064a\u0627<\/a><\/li>\n<li><a href=\"https:\/\/www.khanacademy.org\/computing\/computer-science\/cryptography\/modern-crypt\/v\/elliptic-curve-cryptography-part-1\" target=\"_new\" rel=\"noopener nofollow\">\u0645\u0642\u062f\u0645\u0629 \u0641\u064a \u062a\u0634\u0641\u064a\u0631 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a \u2013 \u0623\u0643\u0627\u062f\u064a\u0645\u064a\u0629 \u062e\u0627\u0646<\/a><\/li>\n<\/ol>\n<p>\u0641\u064a \u0627\u0644\u062e\u062a\u0627\u0645\u060c \u0628\u0631\u0632 \u0627\u0644\u062a\u0634\u0641\u064a\u0631 \u0630\u0648 \u0627\u0644\u0645\u0646\u062d\u0646\u0649 \u0627\u0644\u0625\u0647\u0644\u064a\u0644\u062c\u064a \u0643\u062a\u0642\u0646\u064a\u0629 \u062a\u0634\u0641\u064a\u0631 \u0642\u0648\u064a\u0629 \u0648\u0641\u0639\u0627\u0644\u0629\u060c \u062a\u0639\u0627\u0644\u062c \u0627\u0644\u062a\u062d\u062f\u064a\u0627\u062a \u0627\u0644\u0623\u0645\u0646\u064a\u0629 \u0644\u0644\u0627\u062a\u0635\u0627\u0644\u0627\u062a \u0627\u0644\u0631\u0642\u0645\u064a\u0629 \u0627\u0644\u062d\u062f\u064a\u062b\u0629. \u0628\u0641\u0636\u0644 \u0645\u064a\u0632\u0627\u062a \u0627\u0644\u0623\u0645\u0627\u0646 \u0627\u0644\u0642\u0648\u064a\u0629\u060c \u0648\u0623\u062d\u062c\u0627\u0645 \u0627\u0644\u0645\u0641\u0627\u062a\u064a\u062d \u0627\u0644\u0623\u0635\u063a\u0631\u060c \u0648\u0627\u0644\u062a\u0648\u0627\u0641\u0642 \u0645\u0639 \u0627\u0644\u062a\u0637\u0628\u064a\u0642\u0627\u062a \u0627\u0644\u0645\u062e\u062a\u0644\u0641\u0629\u060c \u0645\u0646 \u0627\u0644\u0645\u062a\u0648\u0642\u0639 \u0623\u0646 \u062a\u0638\u0644 ECC \u0623\u062f\u0627\u0629 \u0623\u0633\u0627\u0633\u064a\u0629 \u0641\u064a \u0636\u0645\u0627\u0646 \u062e\u0635\u0648\u0635\u064a\u0629 \u0648\u0633\u0644\u0627\u0645\u0629 \u0627\u0644\u0628\u064a\u0627\u0646\u0627\u062a \u0641\u064a \u0627\u0644\u0639\u0627\u0644\u0645 \u0627\u0644\u0631\u0642\u0645\u064a. \u0645\u0646 \u062e\u0644\u0627\u0644 \u0627\u0644\u0627\u0633\u062a\u0641\u0627\u062f\u0629 \u0645\u0646 \u0645\u0632\u0627\u064a\u0627 ECC\u060c \u064a\u0645\u0643\u0646 \u0644\u0645\u0648\u0641\u0631\u064a \u0627\u0644\u062e\u0648\u0627\u062f\u0645 \u0627\u0644\u0648\u0643\u064a\u0644\u0629\u060c \u0645\u062b\u0644 OneProxy\u060c \u062a\u0639\u0632\u064a\u0632 \u0623\u0645\u0627\u0646 \u062e\u062f\u0645\u0627\u062a\u0647\u0645 \u0648\u0627\u0644\u0645\u0633\u0627\u0647\u0645\u0629 \u0641\u064a \u0628\u0646\u0627\u0621 \u0628\u064a\u0626\u0629 \u0623\u0643\u062b\u0631 \u0623\u0645\u0627\u0646\u064b\u0627 \u0639\u0628\u0631 \u0627\u0644\u0625\u0646\u062a\u0631\u0646\u062a.<\/p>","protected":false},"featured_media":477060,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-477059","wiki","type-wiki","status-publish","has-post-thumbnail","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Elliptic-curve cryptography: Securing the Digital World<\/mark>","faq_items":[{"question":"What is Elliptic-curve cryptography (ECC) and how does it work?","answer":"<p><strong>Elliptic-curve cryptography (ECC)<\/strong> is a modern cryptographic method that uses mathematical properties of elliptic curves to secure data transmission, authentication, and digital signatures. It involves two mathematically related keys - a public key and a private key. The public key is openly shared and used for encryption, while the private key, kept secret, is used for decryption.<\/p>"},{"question":"What makes Elliptic-curve cryptography superior to traditional encryption algorithms?","answer":"<p>ECC offers several advantages over traditional encryption algorithms like RSA. It provides strong security with shorter key lengths, making it more efficient in terms of computation and faster in performance. Additionally, ECC's smaller key sizes enable better resource utilization, making it suitable for devices with limited computing power, such as mobile devices and IoT gadgets.<\/p>"},{"question":"How does Elliptic-curve cryptography ensure the security of data?","answer":"<p>The security of ECC is based on the difficulty of the elliptic curve discrete logarithm problem. While it is relatively easy to compute <code>nP<\/code> given a point <code>P<\/code> on the curve and a scalar <code>n<\/code>, calculating the scalar <code>n<\/code> given <code>P<\/code> and <code>nP<\/code> is computationally infeasible. This property forms the foundation of ECC's security, making it highly resistant to attacks.<\/p>"},{"question":"What are the different types of Elliptic-curve cryptography?","answer":"<p>There are various variations of ECC, each serving specific cryptographic purposes. Some common types include:<\/p><ul><li><strong>Elliptic Curve Diffie-Hellman (ECDH)<\/strong>: Used for key exchange in secure communication channels.<\/li><li><strong>Elliptic Curve Digital Signature Algorithm (ECDSA)<\/strong>: Employed for generating and verifying digital signatures.<\/li><li><strong>Elliptic Curve Integrated Encryption Scheme (ECIES)<\/strong>: A hybrid encryption scheme combining ECC and symmetric encryption.<\/li><\/ul>"},{"question":"Can Elliptic-curve cryptography be used with proxy servers?","answer":"<p>Yes, absolutely! Elliptic-curve cryptography can be implemented in proxy servers to enhance the security of data transmission between clients and servers. By using ECC, proxy servers can establish secure channels and authenticate data, contributing to a safer online environment.<\/p>"},{"question":"Is Elliptic-curve cryptography immune to all threats?","answer":"<p>While Elliptic-curve cryptography provides robust security, it is not entirely invulnerable. Like any cryptographic system, ECC is subject to potential threats. However, its strong security features and ongoing research for quantum-resistant variants make it a reliable and future-proof option in today's digital landscape.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/477059","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/wiki\/477059\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media\/477060"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ar\/wp-json\/wp\/v2\/media?parent=477059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}