{"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\/ir\/wiki\/elliptic-curve-cryptography\/","title":{"rendered":"\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc"},"content":{"rendered":"<p>\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc (ECC) \u06cc\u06a9 \u0631\u0648\u0634 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u062f\u0631\u0646 \u0648 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0648\u062b\u0631 \u0628\u0627 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0645\u0646 \u0633\u0627\u0632\u06cc \u0627\u0646\u062a\u0642\u0627\u0644 \u062f\u0627\u062f\u0647 \u0647\u0627\u060c \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0648 \u0627\u0645\u0636\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0628\u0631\u0627\u06cc \u0627\u0646\u062c\u0627\u0645 \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0628\u0631 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0645\u0646\u062d\u0646\u06cc\u200c\u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u062a\u06a9\u06cc\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646\u06cc \u0642\u0648\u06cc \u0648 \u06a9\u0627\u0631\u0622\u0645\u062f \u0628\u0631\u0627\u06cc \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0633\u0646\u062a\u06cc \u0645\u0627\u0646\u0646\u062f RSA \u0648 DSA \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f. ECC \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u0642\u0648\u06cc \u0648 \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc \u0622\u0646 \u062f\u0631 \u0627\u0631\u0627\u0626\u0647 \u0647\u0645\u0627\u0646 \u0633\u0637\u062d \u0627\u0645\u0646\u06cc\u062a\u06cc \u0628\u0627 \u0637\u0648\u0644\u200c\u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f \u06a9\u0648\u062a\u0627\u0647\u200c\u062a\u0631\u060c \u0645\u0648\u0631\u062f \u067e\u0630\u06cc\u0631\u0634 \u06af\u0633\u062a\u0631\u062f\u0647\u200c\u0627\u06cc \u0642\u0631\u0627\u0631 \u06af\u0631\u0641\u062a\u0647 \u0627\u0633\u062a\u060c \u0648 \u0628\u0647 \u0648\u06cc\u0698\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u06cc\u0637\u200c\u0647\u0627\u06cc \u0645\u062d\u062f\u0648\u062f \u0628\u0647 \u0645\u0646\u0627\u0628\u0639\u060c \u0645\u0627\u0646\u0646\u062f \u062f\u0633\u062a\u06af\u0627\u0647\u200c\u0647\u0627\u06cc \u062a\u0644\u0641\u0646 \u0647\u0645\u0631\u0627\u0647 \u0648 \u0627\u06cc\u0646\u062a\u0631\u0646\u062a \u0627\u0634\u06cc\u0627 (IoT) \u0645\u0646\u0627\u0633\u0628 \u0627\u0633\u062a. .<\/p>\n<h2>\u062a\u0627\u0631\u06cc\u062e\u0686\u0647 \u067e\u06cc\u062f\u0627\u06cc\u0634 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0648 \u0627\u0648\u0644\u06cc\u0646 \u0630\u06a9\u0631 \u0622\u0646<\/h2>\n<p>\u062a\u0627\u0631\u06cc\u062e\u0686\u0647 \u0645\u0646\u062d\u0646\u06cc\u200c\u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0628\u0647 \u0627\u0648\u0627\u06cc\u0644 \u0642\u0631\u0646 \u0646\u0648\u0632\u062f\u0647\u0645 \u0628\u0627\u0632\u0645\u06cc\u200c\u06af\u0631\u062f\u062f\u060c \u0632\u0645\u0627\u0646\u06cc \u06a9\u0647 \u0631\u06cc\u0627\u0636\u06cc\u200c\u062f\u0627\u0646\u0627\u0646 \u0627\u06cc\u0646 \u0645\u0646\u062d\u0646\u06cc\u200c\u0647\u0627\u06cc \u062c\u0630\u0627\u0628 \u0631\u0627 \u0628\u0647 \u062f\u0644\u06cc\u0644 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u062c\u0630\u0627\u0628\u0634\u0627\u0646 \u06a9\u0634\u0641 \u06a9\u0631\u062f\u0646\u062f. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u062a\u0627 \u062f\u0647\u0647 1980 \u0628\u0648\u062f \u06a9\u0647 \u0646\u06cc\u0644 \u06a9\u0648\u0628\u0644\u06cc\u062a\u0632 \u0648 \u0648\u06cc\u06a9\u062a\u0648\u0631 \u0645\u06cc\u0644\u0631 \u0628\u0647 \u0637\u0648\u0631 \u0645\u0633\u062a\u0642\u0644 \u0645\u0641\u0647\u0648\u0645 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u0647\u062f\u0627\u0641 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u067e\u06cc\u0634\u0646\u0647\u0627\u062f \u06a9\u0631\u062f\u0646\u062f. \u0622\u0646\u0647\u0627 \u062a\u0634\u062e\u06cc\u0635 \u062f\u0627\u062f\u0646\u062f \u06a9\u0647 \u0645\u0633\u0626\u0644\u0647 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645 \u06af\u0633\u0633\u062a\u0647 \u062f\u0631 \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u067e\u0627\u06cc\u0647 \u0648 \u0627\u0633\u0627\u0633 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0642\u0648\u06cc \u0628\u0627\u0634\u062f.<\/p>\n<p>\u0627\u0646\u062f\u06a9\u06cc \u0628\u0639\u062f\u060c \u062f\u0631 \u0633\u0627\u0644 1985\u060c \u0646\u06cc\u0644 \u06a9\u0648\u0628\u0644\u06cc\u062a\u0632 \u0648 \u0622\u0644\u0641\u0631\u062f \u0645\u0646\u0632\u0632\u060c \u0647\u0645\u0631\u0627\u0647 \u0628\u0627 \u0627\u0633\u06a9\u0627\u062a \u0648\u0627\u0646\u0633\u062a\u0648\u0646\u060c \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0637\u0631\u062d \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0642\u0627\u0628\u0644 \u0627\u062c\u0631\u0627 \u0645\u0639\u0631\u0641\u06cc \u06a9\u0631\u062f\u0646\u062f. \u062a\u062d\u0642\u06cc\u0642\u0627\u062a \u067e\u06cc\u0634\u06af\u0627\u0645\u0627\u0646\u0647 \u0622\u0646\u0647\u0627 \u0632\u0645\u06cc\u0646\u0647 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 ECC \u0648 \u062f\u0631 \u0646\u0647\u0627\u06cc\u062a \u067e\u0630\u06cc\u0631\u0634 \u06af\u0633\u062a\u0631\u062f\u0647 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0631\u062f.<\/p>\n<h2>\u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062f\u0642\u06cc\u0642 \u062f\u0631 \u0645\u0648\u0631\u062f \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc<\/h2>\n<p>\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc\u060c \u0645\u0627\u0646\u0646\u062f \u0633\u0627\u06cc\u0631 \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc\u060c \u0627\u0632 \u062f\u0648 \u06a9\u0644\u06cc\u062f \u0631\u06cc\u0627\u0636\u06cc \u0645\u0631\u062a\u0628\u0637 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f: \u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0647\u0645\u0647 \u0634\u0646\u0627\u062e\u062a\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a \u0648 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u06a9\u0647 \u062a\u0648\u0633\u0637 \u06a9\u0627\u0631\u0628\u0631 \u0645\u062e\u0641\u06cc \u0646\u06af\u0647 \u062f\u0627\u0634\u062a\u0647 \u0645\u06cc\u200c\u0634\u0648\u062f. \u0627\u06cc\u0646 \u0641\u0631\u0622\u06cc\u0646\u062f \u0634\u0627\u0645\u0644 \u062a\u0648\u0644\u06cc\u062f \u06a9\u0644\u06cc\u062f\u060c \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0648 \u0631\u0645\u0632\u06af\u0634\u0627\u06cc\u06cc \u0627\u0633\u062a:<\/p>\n<ol>\n<li>\n<p><strong>\u0646\u0633\u0644 \u06a9\u0644\u06cc\u062f<\/strong>: \u0647\u0631 \u06a9\u0627\u0631\u0628\u0631 \u06cc\u06a9 \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u062f - \u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0648 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0645\u0631\u0628\u0648\u0637\u0647. \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0627\u0632 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0645\u0634\u062a\u0642 \u0634\u062f\u0647 \u0627\u0633\u062a \u0648 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0622\u0632\u0627\u062f \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u06af\u0630\u0627\u0634\u062a.<\/p>\n<\/li>\n<li>\n<p><strong>\u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc<\/strong>: \u0628\u0631\u0627\u06cc \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u06cc\u06a9 \u067e\u06cc\u0627\u0645 \u0628\u0631\u0627\u06cc \u06cc\u06a9 \u06af\u06cc\u0631\u0646\u062f\u0647\u060c \u0641\u0631\u0633\u062a\u0646\u062f\u0647 \u0627\u0632 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u06af\u06cc\u0631\u0646\u062f\u0647 \u0628\u0631\u0627\u06cc \u062a\u0628\u062f\u06cc\u0644 \u0645\u062a\u0646 \u0633\u0627\u062f\u0647 \u0628\u0647 \u0645\u062a\u0646 \u0631\u0645\u0632 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f. \u0641\u0642\u0637 \u06af\u06cc\u0631\u0646\u062f\u0647 \u0628\u0627 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0645\u0631\u0628\u0648\u0637\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0645\u062a\u0646 \u0631\u0645\u0632 \u0631\u0627 \u0631\u0645\u0632\u06af\u0634\u0627\u06cc\u06cc \u06a9\u0631\u062f\u0647 \u0648 \u067e\u06cc\u0627\u0645 \u0627\u0635\u0644\u06cc \u0631\u0627 \u0628\u0627\u0632\u06cc\u0627\u0628\u06cc \u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0631\u0645\u0632\u06af\u0634\u0627\u06cc\u06cc<\/strong>: \u06af\u06cc\u0631\u0646\u062f\u0647 \u0627\u0632 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u062e\u0648\u062f \u0628\u0631\u0627\u06cc \u0631\u0645\u0632\u06af\u0634\u0627\u06cc\u06cc \u0645\u062a\u0646 \u0631\u0645\u0632 \u0634\u062f\u0647 \u0648 \u062f\u0633\u062a\u0631\u0633\u06cc \u0628\u0647 \u067e\u06cc\u0627\u0645 \u0627\u0635\u0644\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0633\u0627\u062e\u062a\u0627\u0631 \u062f\u0627\u062e\u0644\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc - \u0686\u06af\u0648\u0646\u0647 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f<\/h2>\n<p>\u0627\u0633\u0627\u0633 \u0627\u0633\u0627\u0633\u06cc ECC \u0633\u0627\u062e\u062a\u0627\u0631 \u0631\u06cc\u0627\u0636\u06cc \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0627\u0633\u062a. \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0628\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 \u0627\u06cc \u0628\u0647 \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u0634\u0648\u062f:<\/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>css<\/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>\u06a9\u062f \u0631\u0627 \u06a9\u067e\u06cc \u06a9\u0646\u06cc\u062f<\/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>\u062c\u0627\u06cc\u06cc \u06a9\u0647 <code data-no-translation=\"\">a<\/code> \u0648 <code data-no-translation=\"\">b<\/code> \u062b\u0627\u0628\u062a \u0647\u0633\u062a\u0646\u062f. \u0645\u0646\u062d\u0646\u06cc \u062f\u0627\u0631\u0627\u06cc \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0627\u0636\u0627\u0641\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0639\u0645\u0644\u06cc\u0627\u062a \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0642\u0627\u0628\u0644 \u0642\u0628\u0648\u0644 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<p>ECC \u0628\u0631 \u062f\u0634\u0648\u0627\u0631\u06cc \u0645\u0633\u0626\u0644\u0647 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645 \u06af\u0633\u0633\u062a\u0647 \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u062a\u06a9\u06cc\u0647 \u062f\u0627\u0631\u062f. \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u06cc\u06a9 \u0646\u06a9\u062a\u0647 <code data-no-translation=\"\">P<\/code> \u0631\u0648\u06cc \u0645\u0646\u062d\u0646\u06cc \u0648 \u0627\u0633\u06a9\u0627\u0644\u0631 <code data-no-translation=\"\">n<\/code>\u060c \u0645\u062d\u0627\u0633\u0628\u0647 <code data-no-translation=\"\">nP<\/code> \u0646\u0633\u0628\u062a\u0627\u064b \u0633\u0627\u062f\u0647 \u0627\u0633\u062a. \u0628\u0627 \u0627\u06cc\u0646 \u062d\u0627\u0644\u060c \u062f\u0627\u062f\u0647 \u0634\u062f\u0647 \u0627\u0633\u062a <code data-no-translation=\"\">P<\/code> \u0648 <code data-no-translation=\"\">nP<\/code>\u060c \u067e\u06cc\u062f\u0627 \u06a9\u0631\u062f\u0646 \u0627\u0633\u06a9\u0627\u0644\u0631 <code data-no-translation=\"\">n<\/code> \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u063a\u06cc\u0631\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a. \u0627\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u0627\u0633\u0627\u0633 \u0627\u0645\u0646\u06cc\u062a ECC \u0631\u0627 \u062a\u0634\u06a9\u06cc\u0644 \u0645\u06cc \u062f\u0647\u062f.<\/p>\n<p>\u0627\u0645\u0646\u06cc\u062a ECC \u062f\u0631 \u062f\u0634\u0648\u0627\u0631\u06cc \u062d\u0644 \u0645\u0633\u0626\u0644\u0647 \u0644\u06af\u0627\u0631\u06cc\u062a\u0645 \u06af\u0633\u0633\u062a\u0647 \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0646\u0647\u0641\u062a\u0647 \u0627\u0633\u062a. \u0628\u0631\u062e\u0644\u0627\u0641 RSA \u06a9\u0647 \u0628\u0631 \u0645\u0633\u0626\u0644\u0647 \u0641\u0627\u06a9\u062a\u0648\u0631\u0633\u0627\u0632\u06cc \u0627\u0639\u062f\u0627\u062f \u0635\u062d\u06cc\u062d \u0645\u062a\u06a9\u06cc \u0627\u0633\u062a\u060c \u0627\u0645\u0646\u06cc\u062a ECC \u0627\u0632 \u0633\u062e\u062a\u06cc \u0627\u06cc\u0646 \u0645\u0633\u0626\u0644\u0647 \u0631\u06cc\u0627\u0636\u06cc \u062e\u0627\u0635 \u0646\u0627\u0634\u06cc \u0645\u06cc\u200c\u0634\u0648\u062f.<\/p>\n<h2>\u062a\u062c\u0632\u06cc\u0647 \u0648 \u062a\u062d\u0644\u06cc\u0644 \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc<\/h2>\n<p>\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0686\u0646\u062f\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u06a9\u0644\u06cc\u062f\u06cc \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f \u06a9\u0647 \u0628\u0647 \u0645\u062d\u0628\u0648\u0628\u06cc\u062a \u0648 \u067e\u0630\u06cc\u0631\u0634 \u0622\u0646 \u06a9\u0645\u06a9 \u0645\u06cc \u06a9\u0646\u062f:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0645\u0646\u06cc\u062a \u0642\u0648\u06cc<\/strong>: ECC \u0633\u0637\u062d \u0628\u0627\u0644\u0627\u06cc\u06cc \u0627\u0632 \u0627\u0645\u0646\u06cc\u062a \u0631\u0627 \u0628\u0627 \u0637\u0648\u0644 \u06a9\u0644\u06cc\u062f \u06a9\u0648\u062a\u0627\u0647\u200c\u062a\u0631 \u062f\u0631 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0633\u0627\u06cc\u0631 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc\u200c\u06a9\u0646\u062f. \u0627\u06cc\u0646 \u0645\u0646\u062c\u0631 \u0628\u0647 \u06a9\u0627\u0647\u0634 \u0646\u06cc\u0627\u0632\u0647\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0648 \u0639\u0645\u0644\u06a9\u0631\u062f \u0633\u0631\u06cc\u0639\u062a\u0631 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0628\u0647\u0631\u0647 \u0648\u0631\u06cc<\/strong>: ECC \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a \u0648 \u0622\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u062f\u0633\u062a\u06af\u0627\u0647\u200c\u0647\u0627\u06cc \u0645\u062d\u062f\u0648\u062f \u0628\u0647 \u0645\u0646\u0627\u0628\u0639 \u0645\u0627\u0646\u0646\u062f \u06af\u0648\u0634\u06cc\u200c\u0647\u0627\u06cc \u0647\u0648\u0634\u0645\u0646\u062f \u0648 \u062f\u0633\u062a\u06af\u0627\u0647\u200c\u0647\u0627\u06cc IoT \u0645\u0646\u0627\u0633\u0628 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0646\u062f\u0627\u0632\u0647 \u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f \u06a9\u0648\u0686\u06a9\u062a\u0631<\/strong>: \u0627\u0646\u062f\u0627\u0632\u0647 \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc \u06a9\u0648\u0686\u06a9\u062a\u0631 \u0628\u0647 \u0645\u0639\u0646\u0627\u06cc \u0641\u0636\u0627\u06cc \u0630\u062e\u06cc\u0631\u0647 \u0633\u0627\u0632\u06cc \u06a9\u0645\u062a\u0631 \u0648 \u0627\u0646\u062a\u0642\u0627\u0644 \u0633\u0631\u06cc\u0639\u062a\u0631 \u062f\u0627\u062f\u0647 \u0647\u0627 \u0627\u0633\u062a \u06a9\u0647 \u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u0645\u062f\u0631\u0646 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a.<\/p>\n<\/li>\n<li>\n<p><strong>\u0631\u0627\u0632\u062f\u0627\u0631\u06cc \u0628\u0647 \u062c\u0644\u0648<\/strong>: ECC \u0631\u0627\u0632\u062f\u0627\u0631\u06cc \u0631\u0648 \u0628\u0647 \u062c\u0644\u0648 \u0631\u0627 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc \u06a9\u0646\u062f \u0648 \u062a\u0636\u0645\u06cc\u0646 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u062d\u062a\u06cc \u0627\u06af\u0631 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u06cc\u06a9 \u062c\u0644\u0633\u0647 \u0628\u0647 \u062e\u0637\u0631 \u0628\u06cc\u0641\u062a\u062f\u060c \u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u06af\u0630\u0634\u062a\u0647 \u0648 \u0622\u06cc\u0646\u062f\u0647 \u0627\u0645\u0646 \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0633\u0627\u0632\u06af\u0627\u0631\u06cc<\/strong>: ECC \u0631\u0627 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u062f\u0631 \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627 \u0648 \u067e\u0631\u0648\u062a\u06a9\u0644 \u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0648\u062c\u0648\u062f \u0627\u062f\u063a\u0627\u0645 \u06a9\u0631\u062f.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0627\u0646\u0648\u0627\u0639 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc<\/h2>\n<p>\u0628\u0633\u062a\u0647 \u0628\u0647 \u0627\u0646\u062a\u062e\u0627\u0628 \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0648 \u0645\u06cc\u062f\u0627\u0646 \u0632\u06cc\u0631\u06cc\u0646 \u0622\u0646\u060c \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a \u0648 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 ECC \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f. \u0627\u0646\u0648\u0627\u0639 \u0645\u062a\u062f\u0627\u0648\u0644 \u0645\u0648\u0631\u062f \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0639\u0628\u0627\u0631\u062a\u0646\u062f \u0627\u0632:<\/p>\n<ol>\n<li>\n<p><strong>\u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u062f\u06cc\u0641\u06cc-\u0647\u0644\u0645\u0646 (ECDH)<\/strong>: \u0628\u0631\u0627\u06cc \u062a\u0628\u0627\u062f\u0644 \u06a9\u0644\u06cc\u062f \u062f\u0631 \u0627\u06cc\u062c\u0627\u062f \u06a9\u0627\u0646\u0627\u0644 \u0647\u0627\u06cc \u0627\u0631\u062a\u0628\u0627\u0637\u06cc \u0627\u0645\u0646 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0627\u0645\u0636\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc (ECDSA)<\/strong>: \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0648 \u062a\u0623\u06cc\u06cc\u062f \u0627\u0645\u0636\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0628\u0631\u0627\u06cc \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u062f\u0627\u062f\u0647 \u0647\u0627 \u0648 \u067e\u06cc\u0627\u0645 \u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0637\u0631\u062d \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u06cc\u06a9\u067e\u0627\u0631\u0686\u0647 \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u06cc (ECIES)<\/strong>: \u06cc\u06a9 \u0637\u0631\u062d \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u062a\u0631\u06a9\u06cc\u0628\u06cc \u06a9\u0647 ECC \u0648 \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0645\u062a\u0642\u0627\u0631\u0646 \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0645\u0646 \u062f\u0627\u062f\u0647 \u0647\u0627 \u062a\u0631\u06a9\u06cc\u0628 \u0645\u06cc \u06a9\u0646\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc \u0627\u062f\u0648\u0627\u0631\u062f\u0632 \u0648 \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc \u0627\u062f\u0648\u0627\u0631\u062f\u0632 \u067e\u06cc\u0686 \u062e\u0648\u0631\u062f\u0647<\/strong>: \u0627\u0634\u06a9\u0627\u0644 \u062c\u0627\u06cc\u06af\u0632\u06cc\u0646 \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc \u06a9\u0647 \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0645\u062a\u0641\u0627\u0648\u062a\u06cc \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u0646\u062f.<\/p>\n<\/li>\n<\/ol>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u062c\u062f\u0648\u0644 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0627\u06cc \u0648\u062c\u0648\u062f \u062f\u0627\u0631\u062f \u06a9\u0647 \u0628\u0631\u062e\u06cc \u0627\u0632 \u062a\u063a\u06cc\u06cc\u0631\u0627\u062a ECC \u0631\u0627 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u062f:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u062a\u0646\u0648\u0639 ECC<\/th>\n<th>\u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0648\u0631\u062f<\/th>\n<th>\u0637\u0648\u0644 \u06a9\u0644\u06cc\u062f<\/th>\n<th>\u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0642\u0627\u0628\u0644 \u062a\u0648\u062c\u0647<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>ECDH<\/td>\n<td>\u062a\u0628\u0627\u062f\u0644 \u06a9\u0644\u06cc\u062f<\/td>\n<td>\u06a9\u0648\u062a\u0627\u0647 \u062a\u0631<\/td>\n<td>\u06a9\u0627\u0646\u0627\u0644 \u0647\u0627\u06cc \u0627\u0631\u062a\u0628\u0627\u0637\u06cc \u0627\u0645\u0646 \u0631\u0627 \u0641\u0639\u0627\u0644 \u0645\u06cc \u06a9\u0646\u062f<\/td>\n<\/tr>\n<tr>\n<td>ECDSA<\/td>\n<td>\u0627\u0645\u0636\u0627\u0647\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644<\/td>\n<td>\u06a9\u0648\u062a\u0627\u0647 \u062a\u0631<\/td>\n<td>\u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u062f\u0627\u062f\u0647 \u0647\u0627 \u0648 \u067e\u06cc\u0627\u0645 \u0647\u0627 \u0631\u0627 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc \u06a9\u0646\u062f<\/td>\n<\/tr>\n<tr>\n<td>ECIES<\/td>\n<td>\u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u062a\u0631\u06a9\u06cc\u0628\u06cc<\/td>\n<td>\u06a9\u0648\u062a\u0627\u0647 \u062a\u0631<\/td>\n<td>ECC \u0631\u0627 \u0628\u0627 \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0645\u062a\u0642\u0627\u0631\u0646 \u062a\u0631\u06a9\u06cc\u0628 \u0645\u06cc \u06a9\u0646\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc \u0627\u062f\u0648\u0627\u0631\u062f\u0632<\/td>\n<td>\u0647\u0645\u0647 \u0645\u0646\u0638\u0648\u0631\u0647<\/td>\n<td>\u06a9\u0648\u062a\u0627\u0647 \u062a\u0631<\/td>\n<td>\u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0645\u062e\u062a\u0644\u0641\u06cc \u0631\u0627 \u0627\u0631\u0627\u0626\u0647 \u0645\u06cc \u062f\u0647\u062f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u0631\u0627\u0647\u200c\u0647\u0627\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc\u060c \u0645\u0634\u06a9\u0644\u0627\u062a \u0648 \u0631\u0627\u0647\u200c\u062d\u0644\u200c\u0647\u0627<\/h2>\n<p>ECC \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u0631\u0627 \u062f\u0631 \u062d\u0648\u0632\u0647 \u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u062f\u060c \u0627\u0632 \u062c\u0645\u0644\u0647:<\/p>\n<ol>\n<li>\n<p><strong>\u0627\u0631\u062a\u0628\u0627\u0637 \u0627\u0645\u0646<\/strong>: ECC \u062f\u0631 \u067e\u0631\u0648\u062a\u06a9\u0644 \u0647\u0627\u06cc SSL\/TLS \u0628\u0631\u0627\u06cc \u0627\u06cc\u0645\u0646 \u0633\u0627\u0632\u06cc \u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u0627\u06cc\u0646\u062a\u0631\u0646\u062a\u06cc \u0628\u06cc\u0646 \u0633\u0631\u0648\u0631\u0647\u0627 \u0648 \u06a9\u0644\u0627\u06cc\u0646\u062a \u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u0627\u0645\u0636\u0627\u0647\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644<\/strong>: ECC \u0628\u0631\u0627\u06cc \u062a\u0648\u0644\u06cc\u062f \u0648 \u062a\u0623\u06cc\u06cc\u062f \u0627\u0645\u0636\u0627\u0647\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644\u060c \u062a\u0636\u0645\u06cc\u0646 \u0635\u062d\u062a \u0648 \u06cc\u06a9\u067e\u0627\u0631\u0686\u06af\u06cc \u062f\u0627\u062f\u0647 \u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u062f\u0633\u062a\u06af\u0627\u0647 \u0647\u0627\u06cc \u0645\u0648\u0628\u0627\u06cc\u0644 \u0648 \u0627\u06cc\u0646\u062a\u0631\u0646\u062a \u0627\u0634\u06cc\u0627<\/strong>: \u0628\u0647 \u062f\u0644\u06cc\u0644 \u06a9\u0627\u0631\u0627\u06cc\u06cc \u0648 \u0627\u0646\u062f\u0627\u0632\u0647 \u06a9\u0644\u06cc\u062f \u06a9\u0648\u0686\u06a9\u060c ECC \u0628\u0647 \u0637\u0648\u0631 \u06af\u0633\u062a\u0631\u062f\u0647 \u062f\u0631 \u0628\u0631\u0646\u0627\u0645\u0647 \u0647\u0627\u06cc \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc \u062a\u0644\u0641\u0646 \u0647\u0645\u0631\u0627\u0647 \u0648 \u062f\u0633\u062a\u06af\u0627\u0647 \u0647\u0627\u06cc IoT \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f.<\/p>\n<\/li>\n<\/ol>\n<p>\u0628\u0627 \u0648\u062c\u0648\u062f \u0646\u0642\u0627\u0637 \u0642\u0648\u062a\u060c ECC \u0628\u0627 \u0686\u0627\u0644\u0634 \u0647\u0627\u06cc\u06cc \u0646\u06cc\u0632 \u0645\u0648\u0627\u062c\u0647 \u0627\u0633\u062a:<\/p>\n<ol>\n<li>\n<p><strong>\u0645\u0633\u0627\u0626\u0644 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0627\u062e\u062a\u0631\u0627\u0639 \u0648 \u0645\u062c\u0648\u0632<\/strong>: \u0628\u0631\u062e\u06cc \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc ECC \u062f\u0631 \u0627\u0628\u062a\u062f\u0627 \u062b\u0628\u062a \u0627\u062e\u062a\u0631\u0627\u0639 \u0634\u062f\u0646\u062f \u06a9\u0647 \u0645\u0646\u062c\u0631 \u0628\u0647 \u0646\u06af\u0631\u0627\u0646\u06cc\u200c\u0647\u0627\u06cc\u06cc \u062f\u0631 \u0645\u0648\u0631\u062f \u062d\u0642\u0648\u0642 \u0645\u0627\u0644\u06a9\u06cc\u062a \u0645\u0639\u0646\u0648\u06cc \u0648 \u0635\u062f\u0648\u0631 \u0645\u062c\u0648\u0632 \u0634\u062f.<\/p>\n<\/li>\n<li>\n<p><strong>\u062a\u0647\u062f\u06cc\u062f\u0627\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc<\/strong>: \u0645\u0627\u0646\u0646\u062f \u062f\u06cc\u06af\u0631 \u0637\u0631\u062d \u0647\u0627\u06cc \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0646\u0627\u0645\u062a\u0642\u0627\u0631\u0646\u060c ECC \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u062d\u0645\u0644\u0627\u062a \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0622\u0633\u06cc\u0628 \u067e\u0630\u06cc\u0631 \u0627\u0633\u062a. \u0627\u0646\u0648\u0627\u0639 ECC \u0645\u0642\u0627\u0648\u0645 \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0628\u0631\u0627\u06cc \u0631\u0641\u0639 \u0627\u06cc\u0646 \u0645\u0634\u06a9\u0644 \u062f\u0631 \u062d\u0627\u0644 \u062a\u0648\u0633\u0639\u0647 \u0647\u0633\u062a\u0646\u062f.<\/p>\n<\/li>\n<\/ol>\n<h2>\u0645\u0634\u062e\u0635\u0627\u062a \u0627\u0635\u0644\u06cc \u0648 \u0645\u0642\u0627\u06cc\u0633\u0647 \u0628\u0627 \u0627\u0635\u0637\u0644\u0627\u062d\u0627\u062a \u0645\u0634\u0627\u0628\u0647<\/h2>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f ECC \u0631\u0627 \u0628\u0627 RSA\u060c \u06cc\u06a9\u06cc \u0627\u0632 \u067e\u0631\u06a9\u0627\u0631\u0628\u0631\u062f\u062a\u0631\u06cc\u0646 \u0637\u0631\u062d\u200c\u0647\u0627\u06cc \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0646\u0627\u0645\u062a\u0642\u0627\u0631\u0646\u060c \u0645\u0642\u0627\u06cc\u0633\u0647 \u06a9\u0646\u06cc\u0645:<\/p>\n<table>\n<thead>\n<tr>\n<th>\u0645\u0634\u062e\u0635\u0647<\/th>\n<th>\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc (ECC)<\/th>\n<th>RSA<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>\u0637\u0648\u0644 \u06a9\u0644\u06cc\u062f \u0628\u0631\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a \u0645\u0639\u0627\u062f\u0644<\/td>\n<td>\u0637\u0648\u0644 \u06a9\u0644\u06cc\u062f \u06a9\u0648\u062a\u0627\u0647\u062a\u0631 (\u0645\u062b\u0644\u0627\u064b 256 \u0628\u06cc\u062a)<\/td>\n<td>\u0637\u0648\u0644 \u06a9\u0644\u06cc\u062f \u0628\u06cc\u0634\u062a\u0631 (\u0645\u062b\u0644\u0627 2048 \u0628\u06cc\u062a)<\/td>\n<\/tr>\n<tr>\n<td>\u06a9\u0627\u0631\u0627\u06cc\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc<\/td>\n<td>\u06a9\u0627\u0631\u0622\u0645\u062f\u062a\u0631\u060c \u0628\u0647 \u062e\u0635\u0648\u0635 \u0628\u0631\u0627\u06cc \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc \u06a9\u0648\u0686\u06a9\u062a\u0631<\/td>\n<td>\u0628\u0631\u0627\u06cc \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc \u0628\u0632\u0631\u06af\u062a\u0631 \u06a9\u0627\u0631\u0627\u06cc\u06cc \u06a9\u0645\u062a\u0631\u06cc \u062f\u0627\u0631\u062f<\/td>\n<\/tr>\n<tr>\n<td>\u0627\u0645\u0646\u06cc\u062a<\/td>\n<td>\u0627\u0645\u0646\u06cc\u062a \u0642\u0648\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc \u0628\u06cc\u0636\u0648\u06cc<\/td>\n<td>\u0627\u0645\u0646\u06cc\u062a \u0642\u0648\u06cc \u0628\u0631 \u0627\u0633\u0627\u0633 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644<\/td>\n<\/tr>\n<tr>\n<td>\u0633\u0631\u0639\u062a \u062a\u0648\u0644\u06cc\u062f \u06a9\u0644\u06cc\u062f<\/td>\n<td>\u062a\u0648\u0644\u06cc\u062f \u06a9\u0644\u06cc\u062f \u0633\u0631\u06cc\u0639\u062a\u0631<\/td>\n<td>\u062a\u0648\u0644\u06cc\u062f \u06a9\u0644\u06cc\u062f \u06a9\u0646\u062f\u062a\u0631<\/td>\n<\/tr>\n<tr>\n<td>\u062a\u0648\u0644\u06cc\u062f \u0627\u0645\u0636\u0627 \/ \u062a\u0623\u06cc\u06cc\u062f<\/td>\n<td>\u062f\u0631 \u06a9\u0644 \u0633\u0631\u06cc\u0639\u062a\u0631<\/td>\n<td>\u0622\u0647\u0633\u062a\u0647 \u062a\u0631\u060c \u0628\u0647 \u062e\u0635\u0648\u0635 \u0628\u0631\u0627\u06cc \u062a\u0623\u06cc\u06cc\u062f<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>\u062f\u06cc\u062f\u06af\u0627\u0647 \u0647\u0627 \u0648 \u0641\u0646\u0627\u0648\u0631\u06cc \u0647\u0627\u06cc \u0622\u06cc\u0646\u062f\u0647 \u0645\u0631\u0628\u0648\u0637 \u0628\u0647 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc<\/h2>\n<p>\u0622\u06cc\u0646\u062f\u0647 ECC \u0627\u0645\u06cc\u062f\u0648\u0627\u0631 \u06a9\u0646\u0646\u062f\u0647 \u0628\u0647 \u0646\u0638\u0631 \u0645\u06cc \u0631\u0633\u062f. \u0627\u0632 \u0622\u0646\u062c\u0627\u06cc\u06cc \u06a9\u0647 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u0627\u06cc\u0645\u0646 \u0647\u0645\u0686\u0646\u0627\u0646 \u062f\u0631 \u062d\u0627\u0644 \u0631\u0634\u062f \u0627\u0633\u062a\u060c ECC \u0646\u0642\u0634 \u0645\u0647\u0645\u06cc \u0631\u0627 \u0627\u06cc\u0641\u0627 \u062e\u0648\u0627\u0647\u062f \u06a9\u0631\u062f\u060c \u0628\u0647 \u0648\u06cc\u0698\u0647 \u062f\u0631 \u0645\u062d\u06cc\u0637 \u0647\u0627\u06cc \u0628\u0627 \u0645\u062d\u062f\u0648\u062f\u06cc\u062a \u0645\u0646\u0627\u0628\u0639. \u062a\u0644\u0627\u0634\u200c\u0647\u0627\u06cc \u062a\u062d\u0642\u06cc\u0642\u0627\u062a\u06cc \u0628\u0631\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 \u0627\u0646\u0648\u0627\u0639 ECC \u0645\u0642\u0627\u0648\u0645 \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0627\u062f\u0627\u0645\u0647 \u062f\u0627\u0631\u062f \u0648 \u0627\u0632 \u062f\u0648\u0627\u0645 \u0637\u0648\u0644\u0627\u0646\u06cc\u200c\u0645\u062f\u062a \u0622\u0646 \u062f\u0631 \u062f\u0646\u06cc\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u067e\u0633 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u062d\u0627\u0635\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n<h2>\u0686\u06af\u0648\u0646\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 \u0627\u0632 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0631\u062f \u06cc\u0627 \u0628\u0627 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0645\u0631\u062a\u0628\u0637 \u0634\u062f<\/h2>\n<p>\u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u0648\u0627\u0633\u0637\u0647 \u0628\u06cc\u0646 \u06a9\u0644\u0627\u06cc\u0646\u062a \u0647\u0627 \u0648 \u0633\u0631\u0648\u0631\u0647\u0627 \u0639\u0645\u0644 \u0645\u06cc \u06a9\u0646\u0646\u062f \u0648 \u062f\u0631\u062e\u0648\u0627\u0633\u062a \u0647\u0627\u06cc \u0645\u0634\u062a\u0631\u06cc \u0631\u0627 \u0627\u0631\u0633\u0627\u0644 \u0645\u06cc \u06a9\u0646\u0646\u062f \u0648 \u067e\u0627\u0633\u062e \u0647\u0627\u06cc \u0633\u0631\u0648\u0631 \u0631\u0627 \u062f\u0631\u06cc\u0627\u0641\u062a \u0645\u06cc \u06a9\u0646\u0646\u062f. \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 ECC \u0627\u0633\u0627\u0633\u0627\u064b \u0628\u0631\u0627\u06cc \u0627\u0631\u062a\u0628\u0627\u0637 \u0627\u0645\u0646 \u0628\u06cc\u0646 \u06a9\u0627\u0631\u0628\u0631\u0627\u0646 \u0646\u0647\u0627\u06cc\u06cc \u0648 \u0633\u0631\u0648\u0631\u0647\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f\u060c \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0648\u06a9\u0633\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0627\u0645\u0646\u06cc\u062a \u0631\u0627 \u0628\u0627 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u067e\u0631\u0648\u062a\u06a9\u0644 \u0647\u0627\u06cc \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0648 \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 ECC \u062f\u0631 \u0627\u0631\u062a\u0628\u0627\u0637 \u062e\u0648\u062f \u0628\u0627 \u0645\u0634\u062a\u0631\u06cc \u0648 \u0633\u0631\u0648\u0631 \u0627\u0641\u0632\u0627\u06cc\u0634 \u062f\u0647\u0646\u062f.<\/p>\n<p>\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 ECC \u062f\u0631 \u0633\u0631\u0648\u0631\u0647\u0627\u06cc \u067e\u0631\u0627\u06a9\u0633\u06cc\u060c \u0627\u0646\u062a\u0642\u0627\u0644 \u062f\u0627\u062f\u0647 \u0628\u06cc\u0646 \u06a9\u0644\u0627\u06cc\u0646\u062a \u0647\u0627 \u0648 \u0633\u0631\u0648\u0631 \u067e\u0631\u0627\u06a9\u0633\u06cc\u060c \u0648 \u0647\u0645\u0686\u0646\u06cc\u0646 \u0628\u06cc\u0646 \u0633\u0631\u0648\u0631 \u067e\u0631\u0648\u06a9\u0633\u06cc \u0648 \u0633\u0631\u0648\u0631 \u0645\u0642\u0635\u062f\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0637\u0648\u0644 \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc \u06a9\u0648\u062a\u0627\u0647 \u062a\u0631\u060c \u0627\u06cc\u0645\u0646 \u0634\u0648\u062f \u0648 \u0633\u0631\u0628\u0627\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0631\u0627 \u06a9\u0627\u0647\u0634 \u062f\u0647\u062f \u0648 \u0639\u0645\u0644\u06a9\u0631\u062f \u06a9\u0644\u06cc \u0631\u0627 \u0628\u0647\u0628\u0648\u062f \u0628\u062e\u0634\u062f.<\/p>\n<h2>\u0644\u06cc\u0646\u06a9 \u0647\u0627\u06cc \u0645\u0631\u0628\u0648\u0637\u0647<\/h2>\n<p>\u0628\u0631\u0627\u06cc \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u0628\u06cc\u0634\u062a\u0631 \u062f\u0631 \u0645\u0648\u0631\u062f \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc\u060c \u0645\u06cc\u200c\u062a\u0648\u0627\u0646\u06cc\u062f \u0645\u0646\u0627\u0628\u0639 \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f:<\/p>\n<ol>\n<li><a href=\"https:\/\/csrc.nist.gov\/projects\/elliptic-curve-cryptography\" target=\"_new\" rel=\"noopener nofollow\">\u0645\u0648\u0633\u0633\u0647 \u0645\u0644\u06cc \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f \u0648 \u0641\u0646\u0627\u0648\u0631\u06cc (NIST) - \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc<\/a><\/li>\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Elliptic-curve_cryptography\" target=\"_new\" rel=\"noopener nofollow\">\u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u062f\u0631 \u0648\u06cc\u06a9\u06cc \u067e\u062f\u06cc\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\u0647 \u0627\u06cc \u0628\u0631 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc - \u0622\u06a9\u0627\u062f\u0645\u06cc \u062e\u0627\u0646<\/a><\/li>\n<\/ol>\n<p>\u062f\u0631 \u0646\u062a\u06cc\u062c\u0647\u060c \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u062a\u06a9\u0646\u06cc\u06a9 \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0648 \u06a9\u0627\u0631\u0622\u0645\u062f \u0638\u0627\u0647\u0631 \u0634\u062f\u0647 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u0686\u0627\u0644\u0634 \u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u0627\u0631\u062a\u0628\u0627\u0637\u0627\u062a \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0645\u062f\u0631\u0646 \u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u062f. \u0627\u0646\u062a\u0638\u0627\u0631 \u0645\u06cc\u200c\u0631\u0648\u062f ECC \u0628\u0627 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u0642\u0648\u06cc\u060c \u0627\u0646\u062f\u0627\u0632\u0647\u200c\u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f \u06a9\u0648\u0686\u06a9\u200c\u062a\u0631 \u0648 \u0633\u0627\u0632\u06af\u0627\u0631\u06cc \u0628\u0627 \u0628\u0631\u0646\u0627\u0645\u0647\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641\u060c \u0627\u0628\u0632\u0627\u0631\u06cc \u0627\u0633\u0627\u0633\u06cc \u062f\u0631 \u062a\u0636\u0645\u06cc\u0646 \u062d\u0641\u0638 \u062d\u0631\u06cc\u0645 \u062e\u0635\u0648\u0635\u06cc \u0648 \u06cc\u06a9\u067e\u0627\u0631\u0686\u06af\u06cc \u062f\u0627\u062f\u0647\u200c\u0647\u0627 \u062f\u0631 \u062f\u0646\u06cc\u0627\u06cc \u062f\u06cc\u062c\u06cc\u062a\u0627\u0644 \u0628\u0627\u0634\u062f. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0632\u0627\u06cc\u0627\u06cc ECC\u060c \u0627\u0631\u0627\u0626\u0647 \u062f\u0647\u0646\u062f\u06af\u0627\u0646 \u0633\u0631\u0648\u0631 \u067e\u0631\u0648\u06a9\u0633\u06cc\u060c \u0645\u0627\u0646\u0646\u062f OneProxy\u060c \u0645\u06cc \u062a\u0648\u0627\u0646\u0646\u062f \u0627\u0645\u0646\u06cc\u062a \u062e\u062f\u0645\u0627\u062a \u062e\u0648\u062f \u0631\u0627 \u0628\u06cc\u0634\u062a\u0631 \u06a9\u0631\u062f\u0647 \u0648 \u0628\u0647 \u0627\u06cc\u062c\u0627\u062f \u06cc\u06a9 \u0645\u062d\u06cc\u0637 \u0622\u0646\u0644\u0627\u06cc\u0646 \u0627\u0645\u0646 \u062a\u0631 \u06a9\u0645\u06a9 \u06a9\u0646\u0646\u062f.<\/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\/ir\/wp-json\/wp\/v2\/wiki\/477059","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/wiki\/477059\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/media\/477060"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/ir\/wp-json\/wp\/v2\/media?parent=477059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}