{"id":85530,"date":"2024-11-26T11:36:42","date_gmt":"2024-11-26T08:06:42","guid":{"rendered":"https:\/\/nabfollower.com\/blog\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/"},"modified":"2024-11-26T11:36:42","modified_gmt":"2024-11-26T08:06:42","slug":"understanding-ssh-key-pairs-a-developers-guide-2eoo","status":"publish","type":"post","link":"https:\/\/nabfollower.com\/blog\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/","title":{"rendered":"\u062f\u0631\u06a9 \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH: \u0631\u0627\u0647\u0646\u0645\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 \u062f\u0647\u0646\u062f\u0647"},"content":{"rendered":"<p>Summarize this content to 400 words in Persian Lang<br \/>\n              \u062f\u0631 \u062f\u0646\u06cc\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 \u0628\u0647 \u0647\u0645 \u067e\u06cc\u0648\u0633\u062a\u0647 \u0627\u0645\u0631\u0648\u0632\u06cc\u060c \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0627\u0645\u0646 \u0641\u0642\u0637 \u06cc\u06a9 \u0627\u0645\u0631 \u062a\u062c\u0645\u0644\u06cc \u0646\u06cc\u0633\u062a\u060c \u0628\u0644\u06a9\u0647 \u06cc\u06a9 \u0636\u0631\u0648\u0631\u062a \u0627\u0633\u062a. \u0686\u0647 \u06cc\u06a9 \u0645\u0647\u0646\u062f\u0633 \u0628\u0627\u062a\u062c\u0631\u0628\u0647 DevOps \u0628\u0627\u0634\u06cc\u062f \u06cc\u0627 \u06cc\u06a9 \u062a\u0648\u0633\u0639\u0647\u200c\u062f\u0647\u0646\u062f\u0647 \u062c\u0648\u0627\u0646 \u06a9\u0647 \u062a\u0627\u0632\u0647 \u0633\u0641\u0631 \u062e\u0648\u062f \u0631\u0627 \u0634\u0631\u0648\u0639 \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u062f\u060c \u062f\u0631\u06a9 \u062c\u0641\u062a\u200c\u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f SSH \u0628\u0631\u0627\u06cc \u06af\u0631\u062f\u0634 \u06a9\u0627\u0631 \u0631\u0648\u0632\u0627\u0646\u0647 \u0634\u0645\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a. \u0622\u0646\u0647\u0627 \u0642\u0647\u0631\u0645\u0627\u0646\u0627\u0646 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\u0645\u0641\u0627\u0647\u06cc\u0645 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0628\u0647 \u0642\u0637\u0639\u0627\u062a \u0642\u0627\u0628\u0644 \u0647\u0636\u0645 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u0634\u0645\u0627 \u062f\u0631 \u062a\u0635\u0645\u06cc\u0645\u200c\u06af\u06cc\u0631\u06cc \u0622\u06af\u0627\u0647\u0627\u0646\u0647 \u062f\u0631 \u0645\u0648\u0631\u062f \u062a\u0646\u0638\u06cc\u0645\u0627\u062a \u0627\u0645\u0646\u06cc\u062a\u06cc \u062e\u0648\u062f \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n<p>  \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH \u0686\u06cc\u0633\u062a\u061f<\/p>\n<p>\u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH \u0627\u0639\u062a\u0628\u0627\u0631 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 \u062f\u0648 \u0628\u062e\u0634 \u062a\u0634\u06a9\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<p>\u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u06a9\u0647 \u062f\u0631 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u062d\u0644\u06cc \u0634\u0645\u0627 \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f (\u0627\u06cc\u0646 \u0631\u0627\u0632 \u0646\u06af\u0647 \u062f\u0627\u0631\u06cc\u062f!)<br \/>\n\u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0622\u0632\u0627\u062f\u0627\u0646\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u0628\u06af\u0630\u0627\u0631\u06cc\u062f<\/p>\n<p>\u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u0642\u0641\u0644 \u0648 \u06a9\u0644\u06cc\u062f \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f. \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0645\u0627\u0646\u0646\u062f \u0642\u0641\u0644 \u062e\u0627\u0635\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0647 \u0647\u0631 \u06a9\u0633\u06cc \u0628\u062f\u0647\u06cc\u062f\u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u06a9\u0644\u06cc\u062f \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0641\u0642\u0637 \u0642\u0641\u0644 \u0647\u0627\u06cc \u0634\u0645\u0627 \u0631\u0627 \u0628\u0627\u0632 \u0645\u06cc \u06a9\u0646\u062f. \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0628\u0647 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u0631\u0627\u0647 \u062f\u0648\u0631 \u0645\u062a\u0635\u0644 \u0645\u06cc \u0634\u0648\u06cc\u062f\u060c \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0634\u0645\u0627 \u0628\u0627 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u06a9\u0647 \u0630\u062e\u06cc\u0631\u0647 \u06a9\u0631\u062f\u0647 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0631\u062f \u06cc\u0627 \u062e\u06cc\u0631 &#8211; \u0627\u06af\u0631 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f\u060c \u0628\u0647 \u0634\u0645\u0627 \u0627\u062c\u0627\u0632\u0647 \u062f\u0633\u062a\u0631\u0633\u06cc \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0627\u06cc\u0646 \u0627\u0645\u0631 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0631\u0645\u0632 \u0639\u0628\u0648\u0631 \u0631\u0627 \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u062d\u0645\u0644\u0627\u062a brute force \u0648 keylogger \u0647\u0627 \u0622\u0633\u06cc\u0628 \u067e\u0630\u06cc\u0631 \u0628\u0627\u0634\u062f\u060c \u0627\u0632 \u0628\u06cc\u0646 \u0645\u06cc \u0628\u0631\u062f.<\/p>\n<p>\u0686\u06cc\u0632\u06cc \u06a9\u0647 \u062c\u0641\u062a\u200c\u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f SSH \u0631\u0627 \u0628\u0647\u200c\u0648\u06cc\u0698\u0647 \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc \u0622\u0646\u0647\u0627 \u062f\u0631 \u0627\u0631\u0627\u0626\u0647 \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0627\u0645\u0646 \u0628\u062f\u0648\u0646 \u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062d\u0633\u0627\u0633 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0634\u0628\u06a9\u0647 \u0627\u0633\u062a. \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0634\u0645\u0627 \u0647\u0631\u06af\u0632 \u0627\u0632 \u062f\u0633\u062a\u06af\u0627\u0647 \u0634\u0645\u0627 \u062e\u0627\u0631\u062c \u0646\u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0648 \u0627\u06cc\u0646 \u0628\u0627\u0639\u062b \u0645\u06cc\u200c\u0634\u0648\u062f \u0645\u0647\u0627\u062c\u0645\u0627\u0646 \u0646\u062a\u0648\u0627\u0646\u0646\u062f \u0627\u0639\u062a\u0628\u0627\u0631 \u0634\u0645\u0627 \u0631\u0627 \u062f\u0631 \u0637\u0648\u0644 \u0641\u0631\u0622\u06cc\u0646\u062f \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0631\u0647\u06af\u06cc\u0631\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<p>  \u0627\u0646\u0648\u0627\u0639 \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH \u0648 \u0645\u0628\u0627\u0646\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0622\u0646\u0647\u0627<\/p>\n<p>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u067e\u0634\u062a \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc SSH \u0628\u0631\u062e\u06cc \u0627\u0632 \u0638\u0631\u06cc\u0641 \u062a\u0631\u06cc\u0646 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0646\u0638\u0631\u06cc\u0647 \u0627\u0639\u062f\u0627\u062f \u0648 \u0647\u0646\u062f\u0633\u0647 \u062c\u0628\u0631\u06cc \u0631\u0627 \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u062f\u0631\u0646 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u0646\u062f. \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0639\u0645\u06cc\u0642\u0627\u064b \u062f\u0631 \u0645\u0628\u0627\u0646\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0622\u0646\u0647\u0627 \u06a9\u0627\u0648\u0634 \u06a9\u0646\u06cc\u0645 \u0648 \u062f\u0631\u06a9 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0622\u0646\u0647\u0627 \u0686\u06af\u0648\u0646\u0647 \u0627\u0645\u0646\u06cc\u062a\u06cc \u0631\u0627 \u06a9\u0647 \u0645\u0627 \u0631\u0648\u0632\u0627\u0646\u0647 \u0628\u0647 \u0622\u0646 \u062a\u06a9\u06cc\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0631\u0627 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<p>  RSA: The Prime Numbers Guardian<\/p>\n<p>\u062f\u0631\u062e\u0634\u0634 RSA \u062f\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0632\u06cc\u0628\u0627 \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u062f\u0648\u0644\u0627\u0631 \u0646\u0647\u0641\u062a\u0647 \u0627\u0633\u062a. \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0632 \u0637\u0631\u06cc\u0642 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647 \u0627\u0645\u0627 \u06af\u0648\u06cc\u0627 \u0627\u0632 \u0646\u062d\u0648\u0647 \u0639\u0645\u0644\u06a9\u0631\u062f RSA \u062f\u0631 \u0639\u0645\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f RSA \u06a9\u0648\u0686\u06a9 (\u0646\u0627\u0627\u0645\u0646\u060c \u0627\u0645\u0627 \u0622\u0645\u0648\u0632\u0634\u06cc) \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645:<\/p>\n<p>\u0627\u0628\u062a\u062f\u0627 \u062f\u0648 \u0639\u062f\u062f \u0627\u0648\u0644 \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f:p = 61 \u0648 q = 53<br \/>\nn \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f (\u0645\u062f\u0648\u0644):n = p \u00d7 q = 61 \u00d7 53 = 3233<br \/>\n\u0645\u062c\u0645\u0648\u0639 \u03c6(n) \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f:\u03c6(n) = (p-1) \u00d7 (q-1) = 60 \u00d7 52 = 3120<br \/>\n\u06cc\u06a9 \u062a\u0648\u0627\u0646 \u0639\u0645\u0648\u0645\u06cc e (\u0645\u0639\u0645\u0648\u0644\u0627\u064b 65537) \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f: \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0632 e = 17 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 (\u0628\u0627\u06cc\u062f \u0647\u0645\u0632\u0645\u0627\u0646 \u0628\u0627 \u03c6(n) \u0628\u0627\u0634\u062f)<br \/>\n\u0636\u0631\u06cc\u0628 \u062e\u0635\u0648\u0635\u06cc d \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f:d = e-1 mod \u03c6(n) = 2753<\/p>\n<p>\u0627\u06cc\u0646 \u0628\u0647 \u0645\u0627 \u0645\u06cc \u062f\u0647\u062f:<\/p>\n<p>\u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc: (n=3233\u060c e=17)<br \/>\n\u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc: (n=3233\u060c d=2753)<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0646\u062d\u0648\u0647 \u06a9\u0627\u0631 \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0628\u0627 \u0627\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0622\u0645\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<p>Message (m) = 123<br \/>\nEncryption: c = m^e mod n<br \/>\nc = 123^17 mod 3,233 = 855<\/p>\n<p>Decryption: m = c^d mod n<br \/>\nm = 855^2,753 mod 3,233 = 123<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u062f\u0631 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0648\u0627\u0642\u0639\u06cc RSA\u060c \u0645\u0627 \u0627\u0632 \u0627\u0639\u062f\u0627\u062f\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0645\u0639\u0645\u0648\u0644\u0627\u064b 2048 \u06cc\u0627 4096 \u0628\u06cc\u062a \u0647\u0633\u062a\u0646\u062f. \u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639\u060c \u06cc\u06a9 \u0639\u062f\u062f 4096 \u0628\u06cc\u062a\u06cc \u062a\u0642\u0631\u06cc\u0628\u0627\u064b 1234 \u0631\u0642\u0645 \u0627\u0639\u0634\u0627\u0631\u06cc \u0637\u0648\u0644 \u062f\u0627\u0631\u062f. \u0627\u0645\u0646\u06cc\u062a \u0627\u0632 \u0627\u06cc\u0646 \u0648\u0627\u0642\u0639\u06cc\u062a \u0646\u0627\u0634\u06cc \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u0641\u0627\u06a9\u062a\u0648\u0631\u06af\u06cc\u0631\u06cc \u0686\u0646\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0628\u0632\u0631\u06af\u06cc \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0627 \u0641\u0646\u0627\u0648\u0631\u06cc \u0641\u0639\u0644\u06cc \u063a\u06cc\u0631\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a.<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0646\u062d\u0648\u0647 \u0627\u06cc\u062c\u0627\u062f \u0686\u0646\u06cc\u0646 \u06a9\u0644\u06cc\u062f\u06cc \u062f\u0631 \u0639\u0645\u0644 \u0622\u0645\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<p># Create a 4096-bit RSA key with custom settings<br \/>\nssh-keygen -t rsa -b 4096 \\<br \/>\n  -C &#8220;RSA-4096_$(date +%Y%m%d)&#8221; \\<br \/>\n  -f ~\/.ssh\/id_rsa_4096 \\<br \/>\n  -N &#8220;your_secure_passphrase&#8221;<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>  Ed25519: Elliptic Curve Elegance<\/p>\n<p>Ed25519 \u0628\u0631 \u0631\u0648\u06cc \u06cc\u06a9 \u0645\u0646\u062d\u0646\u06cc \u062a\u062e\u0635\u0635\u06cc \u0627\u062f\u0648\u0627\u0631\u062f\u0632 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0628\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u0627\u0633\u062a:-x\u00b2 + y\u00b2 = 1 &#8211; (121665\/121666)x\u00b2y\u00b2<\/p>\n<p>\u0627\u06cc\u0646 \u0645\u0646\u062d\u0646\u06cc \u0628\u0631\u0627\u06cc \u0686\u0646\u062f\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u0631\u06cc\u0627\u0636\u06cc \u06a9\u0647 \u0647\u0645 \u0627\u06cc\u0645\u0646 \u0648 \u0647\u0645 \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a\u060c \u0628\u0627 \u062f\u0642\u062a \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f. \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0646\u062d\u0648\u0647 \u0639\u0645\u0644\u06a9\u0631\u062f \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0646\u062d\u0646\u06cc \u0631\u0627 \u0628\u0634\u06a9\u0646\u06cc\u0645:<\/p>\n<p>\u0646\u0642\u0637\u0647 \u067e\u0627\u06cc\u0647 B \u0645\u062e\u062a\u0635\u0627\u062a\u06cc \u062f\u0627\u0631\u062f:<\/p>\n<p>x = 15112221349535400772501151409588531511454012693041857206046113283949847762202<br \/>\ny = 46316835694926478169428394003475163141307993866256225615783033603165251855960<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u06cc\u06a9 k \u0627\u0633\u06a9\u0627\u0644\u0631 256 \u0628\u06cc\u062a\u06cc \u0627\u0633\u062a<br \/>\n\u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0646\u0642\u0637\u0647 k\u00b7B \u0627\u0633\u062a (\u0636\u0631\u0628 \u0627\u0633\u06a9\u0627\u0644\u0631)<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647 \u0627\u0632 \u062c\u0645\u0639 \u0646\u0642\u0637\u0647 \u062f\u0631 \u0645\u0646\u062d\u0646\u06cc \u0622\u0645\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<p>Given two points P1(x\u2081,y\u2081) and P2(x\u2082,y\u2082):<\/p>\n<p>x\u2083 = (x\u2081y\u2082 + y\u2081x\u2082)\/(1 + dx\u2081x\u2082y\u2081y\u2082)<br \/>\ny\u2083 = (y\u2081y\u2082 &#8211; ax\u2081x\u2082)\/(1 &#8211; dx\u2081x\u2082y\u2081y\u2082)<\/p>\n<p>where d = -121665\/121666<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0648\u0627\u0642\u0639\u06cc Ed25519 \u0627\u0632 \u0645\u062f\u0648\u0644 \u062d\u0633\u0627\u0628\u06cc \u0645\u06cc\u062f\u0627\u0646\u06cc \u0627\u0648\u0644 2255 &#8211; 19 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0627\u0631\u0622\u0645\u062f \u062f\u0631 \u067e\u0631\u062f\u0627\u0632\u0646\u062f\u0647\u200c\u0647\u0627\u06cc 64 \u0628\u06cc\u062a\u06cc \u0645\u062f\u0631\u0646 \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f Ed25519 \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc \u06a9\u0646\u06cc\u062f:<\/p>\n<p># Generate Ed25519 key with maximum entropy<br \/>\nssh-keygen -t ed25519 \\<br \/>\n  -C &#8220;Ed25519_$(hostname)_$(date +%Y%m%d)&#8221; \\<br \/>\n  -f ~\/.ssh\/id_ed25519 \\<br \/>\n  -N &#8220;$(head -c 32 \/dev\/urandom | base64)&#8221;<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u0642\u062f\u0631\u062a \u0648\u0627\u0642\u0639\u06cc Ed25519 \u0646\u0627\u0634\u06cc \u0627\u0632 \u0645\u0642\u0627\u0648\u0645\u062a \u0622\u0646 \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u062d\u0645\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0627\u0633\u062a:<\/p>\n<p>Signing equation:<br \/>\nR = rB<br \/>\nS = (r + H(R,A,M)a) mod l<\/p>\n<p>where:<br \/>\nr = H(h_b,&#8230;,h_2b-1,M)<br \/>\nH = SHA-512<br \/>\na = private key<br \/>\nA = public key<br \/>\nM = message<br \/>\nl = 2\u00b2\u2075\u00b2 + 27742317777372353535851937790883648493<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>  ECDSA: \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc NIST<\/p>\n<p>ECDSA \u0627\u0632 \u0645\u0646\u062d\u0646\u06cc\u200c\u0647\u0627\u06cc P NIST \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0631\u0648\u06cc \u0641\u06cc\u0644\u062f\u0647\u0627\u06cc \u0627\u0648\u0644 \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647\u200c\u0627\u0646\u062f. \u0645\u0646\u062d\u0646\u06cc P-256 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u0634\u0648\u062f:y\u00b2 = x\u00b3 &#8211; 3x + b<\/p>\n<p>\u062c\u0627\u06cc\u06cc \u06a9\u0647 b = 0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0627\u06cc \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0646\u062d\u0646\u06cc \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n<p>\u0628\u0627 \u0646\u0642\u0637\u0647 \u067e\u0627\u06cc\u0647 G \u0634\u0631\u0648\u0639 \u06a9\u0646\u06cc\u062f:<\/p>\n<p>Gx = 0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296<br \/>\nGy = 0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u0628\u0631\u0627\u06cc \u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc k\u060c \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc Q = kG \u0627\u0632 \u0637\u0631\u06cc\u0642 \u062f\u0648 \u0628\u0631\u0627\u0628\u0631 \u06a9\u0631\u062f\u0646 \u0648 \u062c\u0645\u0639 \u06a9\u0631\u062f\u0646 \u0645\u06a9\u0631\u0631 \u0646\u0642\u0637\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<p>Point Addition (P + Q):<br \/>\ns = (y\u2082 &#8211; y\u2081)\/(x\u2082 &#8211; x\u2081) mod p<br \/>\nx\u2083 = s\u00b2 &#8211; x\u2081 &#8211; x\u2082 mod p<br \/>\ny\u2083 = s(x\u2081 &#8211; x\u2083) &#8211; y\u2081 mod p<\/p>\n<p>Point Doubling (P + P):<br \/>\ns = (3x\u2081\u00b2 + a)\/(2y\u2081) mod p<br \/>\nx\u2083 = s\u00b2 &#8211; 2x\u2081 mod p<br \/>\ny\u2083 = s(x\u2081 &#8211; x\u2083) &#8211; y\u2081 mod p<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0646\u062d\u0646\u06cc P-521 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f ECDSA \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f:<\/p>\n<p># Generate ECDSA key with P-521 curve<br \/>\nssh-keygen -t ecdsa -b 521 \\<br \/>\n  -C &#8220;ECDSA_P521_$(date +%Y%m%d)&#8221; \\<br \/>\n  -f ~\/.ssh\/id_ecdsa_521 \\<br \/>\n  -N &#8220;$(openssl rand -base64 32)&#8221;<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>  \u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0645\u0646\u06cc\u062a\u06cc \u06af\u0633\u062a\u0631\u062f\u0647<\/p>\n<p>\u0627\u0645\u0646\u06cc\u062a \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0628\u0647 \u0645\u0633\u0627\u0626\u0644 \u0645\u062e\u062a\u0644\u0641 \u0631\u06cc\u0627\u0636\u06cc \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f:<\/p>\n<p>RSA: \u0645\u0634\u06a9\u0644 \u0641\u0627\u06a9\u062a\u0648\u0631\u0633\u0627\u0632\u06cc \u0639\u062f\u062f \u0635\u062d\u06cc\u062d (IFP)<\/p>\n<p>Given n = pq, find p and q<br \/>\nTime complexity: O(exp((log n)^(1\/3) * (log log n)^(2\/3)))<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>Ed25519: \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\u06cc (ECDLP)<\/p>\n<p>Given P and Q = kP, find k<br \/>\nTime complexity: O(\u221an) using Pollard&#8217;s rho algorithm<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>ECDSA: \u0647\u0645\u0627\u0646\u0646\u062f Ed25519\u060c \u0627\u0645\u0627 \u0628\u0627 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0645\u0646\u062d\u0646\u06cc \u0645\u062a\u0641\u0627\u0648\u062a<\/p>\n<p>Security level comparison:<br \/>\nRSA 3072-bit \u2248 ECDSA\/Ed25519 256-bit<br \/>\nRSA 15360-bit \u2248 ECDSA\/Ed25519 512-bit<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>  \u062a\u0627\u062b\u06cc\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc<\/p>\n<p>\u0638\u0647\u0648\u0631 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u062a\u0647\u062f\u06cc\u062f\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u062f. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0634\u0648\u0631:<\/p>\n<p>RSA factoring time complexity:<br \/>\nClassical: O(exp((log N)^(1\/3) * (log log N)^(2\/3)))<br \/>\nQuantum: O((log N)^3)<\/p>\n<p>ECDLP solving time complexity:<br \/>\nClassical: O(\u221an)<br \/>\nQuantum: O((log n)^3)<\/p>\n<p>    \u0648\u0627\u0631\u062f \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u0634\u0648\u06cc\u062f<\/p>\n<p>    \u0627\u0632 \u062d\u0627\u0644\u062a \u062a\u0645\u0627\u0645 \u0635\u0641\u062d\u0647 \u062e\u0627\u0631\u062c \u0634\u0648\u06cc\u062f<\/p>\n<p>\u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644 \u0627\u0633\u062a \u06a9\u0647 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u067e\u0633 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0627\u0647\u0645\u06cc\u062a \u0641\u0632\u0627\u06cc\u0646\u062f\u0647 \u0627\u06cc \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u062f\u060c \u0627\u06af\u0631\u0686\u0647 \u0647\u0646\u0648\u0632 \u062f\u0631 \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f SSH \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0646\u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<p>  \u0627\u0646\u062a\u062e\u0627\u0628 \u0622\u06af\u0627\u0647\u0627\u0646\u0647<\/p>\n<p>\u0627\u0646\u062a\u062e\u0627\u0628 \u0628\u06cc\u0646 \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0641\u0631\u0627\u062a\u0631 \u0627\u0632 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0627\u0633\u062a &#8211; \u062f\u0631 \u0645\u0648\u0631\u062f \u062a\u0639\u0627\u062f\u0644 \u0627\u0645\u0646\u06cc\u062a\u060c \u0633\u0627\u0632\u06af\u0627\u0631\u06cc \u0648 \u0639\u0645\u0644\u06a9\u0631\u062f \u0627\u0633\u062a. Ed25519 \u0646\u0645\u0627\u06cc\u0627\u0646\u06af\u0631 \u0622\u06cc\u0646\u062f\u0647 \u0627\u0633\u062a: \u0627\u0632 \u0646\u0638\u0631 \u0631\u06cc\u0627\u0636\u06cc \u0638\u0631\u06cc\u0641\u060c \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u06a9\u0627\u0631\u0622\u0645\u062f\u060c \u0648 \u0628\u0627 \u062f\u0631 \u0646\u0638\u0631 \u06af\u0631\u0641\u062a\u0646 \u062a\u0647\u062f\u06cc\u062f\u0647\u0627\u06cc \u0645\u062f\u0631\u0646 \u0637\u0631\u0627\u062d\u06cc \u0634\u062f\u0647 \u0627\u0633\u062a. \u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0622\u0646 \u0648\u06cc\u0698\u06af\u06cc\u200c\u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u062b\u0627\u0628\u062a\u06cc \u0631\u0627 \u062f\u0631 \u067e\u0644\u062a\u0641\u0631\u0645\u200c\u0647\u0627\u06cc \u0645\u062e\u062a\u0644\u0641 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc\u200c\u06a9\u0646\u062f \u0648 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u06af\u0632\u06cc\u0646\u0647\u200c\u0627\u06cc \u0627\u06cc\u062f\u0647\u200c\u0622\u0644 \u0628\u0631\u0627\u06cc \u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u062c\u062f\u06cc\u062f \u062a\u0628\u062f\u06cc\u0644 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/p>\n<p>\u0628\u0631\u0627\u06cc \u0633\u06cc\u0633\u062a\u0645 \u0647\u0627\u06cc\u06cc \u06a9\u0647 \u0628\u0647 \u0633\u0627\u0632\u06af\u0627\u0631\u06cc \u06af\u0633\u062a\u0631\u062f\u0647 \u0646\u06cc\u0627\u0632 \u062f\u0627\u0631\u0646\u062f\u060c RSA \u0628\u0627 4096 \u0628\u06cc\u062a \u06cc\u06a9 \u0627\u0646\u062a\u062e\u0627\u0628 \u062b\u0627\u0628\u062a \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f. \u0634\u0627\u0644\u0648\u062f\u0647 \u0631\u06cc\u0627\u0636\u06cc \u0622\u0646 \u0686\u0646\u062f\u06cc\u0646 \u062f\u0647\u0647 \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u062a\u062d\u0644\u06cc\u0644 \u0631\u0645\u0632\u067e\u0627\u06cc\u0647 \u0645\u0642\u0627\u0648\u0645\u062a \u06a9\u0631\u062f\u0647 \u0627\u0633\u062a\u060c \u0648 \u0627\u06af\u0631\u0686\u0647 \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0641\u0634\u0631\u062f\u0647\u200c\u062a\u0631 \u0627\u0632 \u0631\u0648\u06cc\u06a9\u0631\u062f\u0647\u0627\u06cc \u0645\u0646\u062d\u0646\u06cc \u0628\u06cc\u0636\u0648\u06cc \u0645\u062f\u0631\u0646 \u0628\u0627\u0634\u062f\u060c \u062d\u0627\u0634\u06cc\u0647\u200c\u0647\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a\u06cc \u0622\u0646 \u0628\u0647 \u062e\u0648\u0628\u06cc \u062f\u0631\u06a9 \u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<p>\u0647\u0646\u06af\u0627\u0645 \u0627\u062c\u0631\u0627\u06cc \u0647\u0631 \u06cc\u06a9 \u0627\u0632 \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u060c \u0646\u06a9\u062a\u0647 \u06a9\u0644\u06cc\u062f\u06cc \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0627\u0632 \u0622\u0646\u062a\u0631\u0648\u067e\u06cc \u0645\u0646\u0627\u0633\u0628 \u062f\u0631 \u0637\u0648\u0644 \u062a\u0648\u0644\u06cc\u062f \u06a9\u0644\u06cc\u062f \u0627\u0633\u062a. \u06cc\u06a9 \u0645\u0648\u0644\u062f \u0627\u0639\u062f\u0627\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0642\u0648\u06cc \u0628\u0631\u0627\u06cc \u0627\u0645\u0646\u06cc\u062a \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a\u060c \u0632\u06cc\u0631\u0627 \u062d\u062a\u06cc \u0627\u0645\u0646\u200c\u062a\u0631\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0631\u0627 \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0628\u0647 \u062f\u0644\u06cc\u0644 \u062a\u0635\u0627\u062f\u0641\u06cc \u0636\u0639\u06cc\u0641 \u0628\u0647 \u062e\u0637\u0631 \u0627\u0646\u062f\u0627\u062e\u062a. \u0633\u06cc\u0633\u062a\u0645\u200c\u0647\u0627\u06cc \u0645\u062f\u0631\u0646 \u0627\u0632 \u0645\u0648\u0644\u062f\u0647\u0627\u06cc \u0627\u0639\u062f\u0627\u062f \u062a\u0635\u0627\u062f\u0641\u06cc \u0633\u062e\u062a\u200c\u0627\u0641\u0632\u0627\u0631\u06cc \u0648 \u0627\u0633\u062a\u062e\u0631\u0647\u0627\u06cc \u0622\u0646\u062a\u0631\u0648\u067e\u06cc \u0628\u0631\u0627\u06cc \u0627\u0637\u0645\u06cc\u0646\u0627\u0646 \u0627\u0632 \u062a\u0648\u0644\u06cc\u062f \u06a9\u0644\u06cc\u062f \u0642\u0648\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f\u060c \u0627\u0645\u0627 \u0627\u0631\u0632\u0634 \u0622\u06af\u0627\u0647\u06cc \u0627\u0632 \u0627\u06cc\u0646 \u067e\u0627\u06cc\u0647 \u0645\u0647\u0645 \u0631\u0627 \u062f\u0627\u0631\u062f.<\/p>\n<div data-article-id=\"2121852\" id=\"article-body\">\n<p>\u062f\u0631 \u062f\u0646\u06cc\u0627\u06cc \u062a\u0648\u0633\u0639\u0647 \u0628\u0647 \u0647\u0645 \u067e\u06cc\u0648\u0633\u062a\u0647 \u0627\u0645\u0631\u0648\u0632\u06cc\u060c \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0627\u0645\u0646 \u0641\u0642\u0637 \u06cc\u06a9 \u0627\u0645\u0631 \u062a\u062c\u0645\u0644\u06cc \u0646\u06cc\u0633\u062a\u060c \u0628\u0644\u06a9\u0647 \u06cc\u06a9 \u0636\u0631\u0648\u0631\u062a \u0627\u0633\u062a. \u0686\u0647 \u06cc\u06a9 \u0645\u0647\u0646\u062f\u0633 \u0628\u0627\u062a\u062c\u0631\u0628\u0647 DevOps \u0628\u0627\u0634\u06cc\u062f \u06cc\u0627 \u06cc\u06a9 \u062a\u0648\u0633\u0639\u0647\u200c\u062f\u0647\u0646\u062f\u0647 \u062c\u0648\u0627\u0646 \u06a9\u0647 \u062a\u0627\u0632\u0647 \u0633\u0641\u0631 \u062e\u0648\u062f \u0631\u0627 \u0634\u0631\u0648\u0639 \u06a9\u0631\u062f\u0647\u200c\u0627\u06cc\u062f\u060c \u062f\u0631\u06a9 \u062c\u0641\u062a\u200c\u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f SSH \u0628\u0631\u0627\u06cc \u06af\u0631\u062f\u0634 \u06a9\u0627\u0631 \u0631\u0648\u0632\u0627\u0646\u0647 \u0634\u0645\u0627 \u0628\u0633\u06cc\u0627\u0631 \u0645\u0647\u0645 \u0627\u0633\u062a. \u0622\u0646\u0647\u0627 \u0642\u0647\u0631\u0645\u0627\u0646\u0627\u0646 \u06af\u0645\u0646\u0627\u0645\u06cc \u0647\u0633\u062a\u0646\u062f \u06a9\u0647 \u0641\u0634\u0627\u0631\u0647\u0627\u06cc git \u0645\u0627 \u0631\u0627 \u0627\u06cc\u0645\u0646 \u0646\u06af\u0647 \u0645\u06cc\u200c\u062f\u0627\u0631\u0646\u062f\u060c \u062f\u0633\u062a\u0631\u0633\u06cc \u0633\u0631\u0648\u0631 \u0645\u0627 \u0631\u0627 \u0645\u062d\u0627\u0641\u0638\u062a \u0645\u06cc\u200c\u06a9\u0646\u0646\u062f\u060c \u0648 \u0627\u0633\u062a\u0642\u0631\u0627\u0631 \u0645\u0627 \u0631\u0627 \u0627\u0632 \u0686\u0634\u0645\u0627\u0646 \u06a9\u0646\u062c\u06a9\u0627\u0648 \u0627\u06cc\u0645\u0646 \u0646\u06af\u0647 \u0645\u06cc\u200c\u062f\u0627\u0631\u0646\u062f.<\/p>\n<p>\u0627\u0645\u0627 \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0635\u0627\u062f\u0642 \u0628\u0627\u0634\u06cc\u0645: \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc SSH \u0645\u0645\u06a9\u0646 \u0627\u0633\u062a \u06af\u06cc\u062c \u06a9\u0646\u0646\u062f\u0647 \u0628\u0627\u0634\u0646\u062f. \u0628\u0627 \u0639\u0628\u0627\u0631\u0627\u062a\u06cc \u0645\u0627\u0646\u0646\u062f \u00ab\u0632\u06cc\u0631\u0633\u0627\u062e\u062a \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc\u00bb\u060c \u00ab\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc\u00bb \u0648 \u00ab\u0627\u062b\u0631 \u0627\u0646\u06af\u0634\u062a \u06a9\u0644\u06cc\u062f\u06cc\u00bb \u06a9\u0647 \u062f\u0631 \u0627\u0637\u0631\u0627\u0641 \u0634\u0646\u0627\u0648\u0631 \u0647\u0633\u062a\u0646\u062f\u060c \u0628\u0647 \u0631\u0627\u062d\u062a\u06cc \u0645\u06cc\u200c\u062a\u0648\u0627\u0646 \u0627\u062d\u0633\u0627\u0633 \u063a\u0631\u0642 \u0634\u062f\u0646 \u06a9\u0631\u062f. \u0647\u062f\u0641 \u0627\u06cc\u0646 \u0631\u0627\u0647\u0646\u0645\u0627 \u0627\u0628\u0647\u0627\u0645\u200c\u0632\u062f\u0627\u06cc\u06cc \u0627\u0632 \u062c\u0641\u062a\u200c\u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f SSH\u060c \u062a\u062c\u0632\u06cc\u0647 \u0645\u0641\u0627\u0647\u06cc\u0645 \u067e\u06cc\u0686\u06cc\u062f\u0647 \u0628\u0647 \u0642\u0637\u0639\u0627\u062a \u0642\u0627\u0628\u0644 \u0647\u0636\u0645 \u0627\u0633\u062a \u06a9\u0647 \u0628\u0647 \u0634\u0645\u0627 \u062f\u0631 \u062a\u0635\u0645\u06cc\u0645\u200c\u06af\u06cc\u0631\u06cc \u0622\u06af\u0627\u0647\u0627\u0646\u0647 \u062f\u0631 \u0645\u0648\u0631\u062f \u062a\u0646\u0638\u06cc\u0645\u0627\u062a \u0627\u0645\u0646\u06cc\u062a\u06cc \u062e\u0648\u062f \u06a9\u0645\u06a9 \u0645\u06cc\u200c\u06a9\u0646\u062f.<\/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\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/#%D8%AC%D9%81%D8%AA_%DA%A9%D9%84%DB%8C%D8%AF_SSH_%DA%86%DB%8C%D8%B3%D8%AA%D8%9F\" >\u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH \u0686\u06cc\u0633\u062a\u061f<\/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\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/#%D8%A7%D9%86%D9%88%D8%A7%D8%B9_%D8%AC%D9%81%D8%AA_%DA%A9%D9%84%DB%8C%D8%AF_SSH_%D9%88_%D9%85%D8%A8%D8%A7%D9%86%DB%8C_%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C_%D8%A2%D9%86%D9%87%D8%A7\" >\u0627\u0646\u0648\u0627\u0639 \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH \u0648 \u0645\u0628\u0627\u0646\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0622\u0646\u0647\u0627<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/nabfollower.com\/blog\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/#RSA_The_Prime_Numbers_Guardian\" >RSA: The Prime Numbers Guardian<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/nabfollower.com\/blog\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/#Ed25519_Elliptic_Curve_Elegance\" >Ed25519: Elliptic Curve Elegance<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/nabfollower.com\/blog\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/#ECDSA_%D9%85%D9%86%D8%AD%D9%86%DB%8C_%D9%87%D8%A7%DB%8C_NIST\" >ECDSA: \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc NIST<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/nabfollower.com\/blog\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/#%D9%85%D9%84%D8%A7%D8%AD%D8%B8%D8%A7%D8%AA_%D8%A7%D9%85%D9%86%DB%8C%D8%AA%DB%8C_%DA%AF%D8%B3%D8%AA%D8%B1%D8%AF%D9%87\" >\u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0645\u0646\u06cc\u062a\u06cc \u06af\u0633\u062a\u0631\u062f\u0647<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/nabfollower.com\/blog\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/#%D8%AA%D8%A7%D8%AB%DB%8C%D8%B1_%D9%85%D8%AD%D8%A7%D8%B3%D8%A8%D8%A7%D8%AA_%DA%A9%D9%88%D8%A7%D9%86%D8%AA%D9%88%D9%85%DB%8C\" >\u062a\u0627\u062b\u06cc\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/nabfollower.com\/blog\/understanding-ssh-key-pairs-a-developers-guide-2eoo\/#%D8%A7%D9%86%D8%AA%D8%AE%D8%A7%D8%A8_%D8%A2%DA%AF%D8%A7%D9%87%D8%A7%D9%86%D9%87\" >\u0627\u0646\u062a\u062e\u0627\u0628 \u0622\u06af\u0627\u0647\u0627\u0646\u0647<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"%D8%AC%D9%81%D8%AA_%DA%A9%D9%84%DB%8C%D8%AF_SSH_%DA%86%DB%8C%D8%B3%D8%AA%D8%9F\"><\/span>\n<p>  \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH \u0686\u06cc\u0633\u062a\u061f<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH \u0627\u0639\u062a\u0628\u0627\u0631 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 \u062f\u0648 \u0628\u062e\u0634 \u062a\u0634\u06a9\u06cc\u0644 \u0634\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<ul>\n<li>\u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u06a9\u0647 \u062f\u0631 \u062f\u0633\u062a\u06af\u0627\u0647 \u0645\u062d\u0644\u06cc \u0634\u0645\u0627 \u0628\u0627\u0642\u06cc \u0645\u06cc \u0645\u0627\u0646\u062f (\u0627\u06cc\u0646 \u0631\u0627\u0632 \u0646\u06af\u0647 \u062f\u0627\u0631\u06cc\u062f!)<\/li>\n<li>\u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0622\u0632\u0627\u062f\u0627\u0646\u0647 \u0622\u0646 \u0631\u0627 \u0628\u0647 \u0627\u0634\u062a\u0631\u0627\u06a9 \u0628\u06af\u0630\u0627\u0631\u06cc\u062f<\/li>\n<\/ul>\n<p>\u0622\u0646\u0647\u0627 \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u0642\u0641\u0644 \u0648 \u06a9\u0644\u06cc\u062f \u067e\u06cc\u0686\u06cc\u062f\u0647 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f. \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0645\u0627\u0646\u0646\u062f \u0642\u0641\u0644 \u062e\u0627\u0635\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u06cc\u062f \u0628\u0647 \u0647\u0631 \u06a9\u0633\u06cc \u0628\u062f\u0647\u06cc\u062f\u060c \u062f\u0631 \u062d\u0627\u0644\u06cc \u06a9\u0647 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u06a9\u0644\u06cc\u062f \u0645\u0646\u062d\u0635\u0631 \u0628\u0647 \u0641\u0631\u062f\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0641\u0642\u0637 \u0642\u0641\u0644 \u0647\u0627\u06cc \u0634\u0645\u0627 \u0631\u0627 \u0628\u0627\u0632 \u0645\u06cc \u06a9\u0646\u062f. \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u0628\u0647 \u06cc\u06a9 \u0633\u06cc\u0633\u062a\u0645 \u0631\u0627\u0647 \u062f\u0648\u0631 \u0645\u062a\u0635\u0644 \u0645\u06cc \u0634\u0648\u06cc\u062f\u060c \u0628\u0631\u0631\u0633\u06cc \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0634\u0645\u0627 \u0628\u0627 \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u06a9\u0647 \u0630\u062e\u06cc\u0631\u0647 \u06a9\u0631\u062f\u0647 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0631\u062f \u06cc\u0627 \u062e\u06cc\u0631 &#8211; \u0627\u06af\u0631 \u0645\u0637\u0627\u0628\u0642\u062a \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u0646\u062f\u060c \u0628\u0647 \u0634\u0645\u0627 \u0627\u062c\u0627\u0632\u0647 \u062f\u0633\u062a\u0631\u0633\u06cc \u062f\u0627\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f. \u0627\u06cc\u0646 \u0627\u0645\u0631 \u0646\u06cc\u0627\u0632 \u0628\u0647 \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0645\u0628\u062a\u0646\u06cc \u0628\u0631 \u0631\u0645\u0632 \u0639\u0628\u0648\u0631 \u0631\u0627 \u06a9\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u062d\u0645\u0644\u0627\u062a brute force \u0648 keylogger \u0647\u0627 \u0622\u0633\u06cc\u0628 \u067e\u0630\u06cc\u0631 \u0628\u0627\u0634\u062f\u060c \u0627\u0632 \u0628\u06cc\u0646 \u0645\u06cc \u0628\u0631\u062f.<\/p>\n<p>\u0686\u06cc\u0632\u06cc \u06a9\u0647 \u062c\u0641\u062a\u200c\u0647\u0627\u06cc \u06a9\u0644\u06cc\u062f SSH \u0631\u0627 \u0628\u0647\u200c\u0648\u06cc\u0698\u0647 \u0642\u062f\u0631\u062a\u0645\u0646\u062f \u0645\u06cc\u200c\u06a9\u0646\u062f\u060c \u062a\u0648\u0627\u0646\u0627\u06cc\u06cc \u0622\u0646\u0647\u0627 \u062f\u0631 \u0627\u0631\u0627\u0626\u0647 \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0627\u0645\u0646 \u0628\u062f\u0648\u0646 \u0627\u0646\u062a\u0642\u0627\u0644 \u0627\u0637\u0644\u0627\u0639\u0627\u062a \u062d\u0633\u0627\u0633 \u0627\u0632 \u0637\u0631\u06cc\u0642 \u0634\u0628\u06a9\u0647 \u0627\u0633\u062a. \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u0634\u0645\u0627 \u0647\u0631\u06af\u0632 \u0627\u0632 \u062f\u0633\u062a\u06af\u0627\u0647 \u0634\u0645\u0627 \u062e\u0627\u0631\u062c \u0646\u0645\u06cc\u200c\u0634\u0648\u062f\u060c \u0648 \u0627\u06cc\u0646 \u0628\u0627\u0639\u062b \u0645\u06cc\u200c\u0634\u0648\u062f \u0645\u0647\u0627\u062c\u0645\u0627\u0646 \u0646\u062a\u0648\u0627\u0646\u0646\u062f \u0627\u0639\u062a\u0628\u0627\u0631 \u0634\u0645\u0627 \u0631\u0627 \u062f\u0631 \u0637\u0648\u0644 \u0641\u0631\u0622\u06cc\u0646\u062f \u0627\u062d\u0631\u0627\u0632 \u0647\u0648\u06cc\u062a \u0631\u0647\u06af\u06cc\u0631\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%D8%A7%D9%86%D9%88%D8%A7%D8%B9_%D8%AC%D9%81%D8%AA_%DA%A9%D9%84%DB%8C%D8%AF_SSH_%D9%88_%D9%85%D8%A8%D8%A7%D9%86%DB%8C_%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C_%D8%A2%D9%86%D9%87%D8%A7\"><\/span>\n<p>  \u0627\u0646\u0648\u0627\u0639 \u062c\u0641\u062a \u06a9\u0644\u06cc\u062f SSH \u0648 \u0645\u0628\u0627\u0646\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0622\u0646\u0647\u0627<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627\u06cc \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u067e\u0634\u062a \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc SSH \u0628\u0631\u062e\u06cc \u0627\u0632 \u0638\u0631\u06cc\u0641 \u062a\u0631\u06cc\u0646 \u06a9\u0627\u0631\u0628\u0631\u062f\u0647\u0627\u06cc \u0646\u0638\u0631\u06cc\u0647 \u0627\u0639\u062f\u0627\u062f \u0648 \u0647\u0646\u062f\u0633\u0647 \u062c\u0628\u0631\u06cc \u0631\u0627 \u062f\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u062f\u0631\u0646 \u0646\u0634\u0627\u0646 \u0645\u06cc \u062f\u0647\u0646\u062f. \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0639\u0645\u06cc\u0642\u0627\u064b \u062f\u0631 \u0645\u0628\u0627\u0646\u06cc \u0631\u06cc\u0627\u0636\u06cc \u0622\u0646\u0647\u0627 \u06a9\u0627\u0648\u0634 \u06a9\u0646\u06cc\u0645 \u0648 \u062f\u0631\u06a9 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0622\u0646\u0647\u0627 \u0686\u06af\u0648\u0646\u0647 \u0627\u0645\u0646\u06cc\u062a\u06cc \u0631\u0627 \u06a9\u0647 \u0645\u0627 \u0631\u0648\u0632\u0627\u0646\u0647 \u0628\u0647 \u0622\u0646 \u062a\u06a9\u06cc\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u0631\u0627 \u0641\u0631\u0627\u0647\u0645 \u0645\u06cc \u06a9\u0646\u0646\u062f.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"RSA_The_Prime_Numbers_Guardian\"><\/span>\n<p>  RSA: The Prime Numbers Guardian<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u062f\u0631\u062e\u0634\u0634 RSA \u062f\u0631 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0632\u06cc\u0628\u0627 \u0627\u0632 \u0627\u0639\u062f\u0627\u062f \u0627\u0648\u0644 \u0648 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u0645\u062f\u0648\u0644\u0627\u0631 \u0646\u0647\u0641\u062a\u0647 \u0627\u0633\u062a. \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0632 \u0637\u0631\u06cc\u0642 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647 \u0627\u0645\u0627 \u06af\u0648\u06cc\u0627 \u0627\u0632 \u0646\u062d\u0648\u0647 \u0639\u0645\u0644\u06a9\u0631\u062f RSA \u062f\u0631 \u0639\u0645\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645.<\/p>\n<p>\u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f RSA \u06a9\u0648\u0686\u06a9 (\u0646\u0627\u0627\u0645\u0646\u060c \u0627\u0645\u0627 \u0622\u0645\u0648\u0632\u0634\u06cc) \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u0645:<\/p>\n<ol>\n<li>\n<p>\u0627\u0628\u062a\u062f\u0627 \u062f\u0648 \u0639\u062f\u062f \u0627\u0648\u0644 \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f:<br \/>p = 61 \u0648 q = 53<\/p>\n<\/li>\n<li>\n<p>n \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f (\u0645\u062f\u0648\u0644):<br \/>n = p \u00d7 q = 61 \u00d7 53 = 3233<\/p>\n<\/li>\n<li>\n<p>\u0645\u062c\u0645\u0648\u0639 \u03c6(n) \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f:<br \/>\u03c6(n) = (p-1) \u00d7 (q-1) = 60 \u00d7 52 = 3120<\/p>\n<\/li>\n<li>\n<p>\u06cc\u06a9 \u062a\u0648\u0627\u0646 \u0639\u0645\u0648\u0645\u06cc e (\u0645\u0639\u0645\u0648\u0644\u0627\u064b 65537) \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u062f: <br \/>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u0627\u0632 e = 17 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0645\u062b\u0627\u0644 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u06a9\u0646\u06cc\u0645 (\u0628\u0627\u06cc\u062f \u0647\u0645\u0632\u0645\u0627\u0646 \u0628\u0627 \u03c6(n) \u0628\u0627\u0634\u062f)<\/p>\n<\/li>\n<li>\n<p>\u0636\u0631\u06cc\u0628 \u062e\u0635\u0648\u0635\u06cc d \u0631\u0627 \u0645\u062d\u0627\u0633\u0628\u0647 \u06a9\u0646\u06cc\u062f:<br \/>d = e-1 mod \u03c6(n) = 2753<\/p>\n<\/li>\n<\/ol>\n<p>\u0627\u06cc\u0646 \u0628\u0647 \u0645\u0627 \u0645\u06cc \u062f\u0647\u062f:<\/p>\n<ul>\n<li>\u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc: (n=3233\u060c e=17)<\/li>\n<li>\u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc: (n=3233\u060c d=2753)<\/li>\n<\/ul>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0646\u062d\u0648\u0647 \u06a9\u0627\u0631 \u0631\u0645\u0632\u06af\u0630\u0627\u0631\u06cc \u0628\u0627 \u0627\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0622\u0645\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>Message (m) = 123\nEncryption: c = m^e mod n\nc = 123^17 mod 3,233 = 855\n\nDecryption: m = c^d mod n\nm = 855^2,753 mod 3,233 = 123\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>\u062f\u0631 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0648\u0627\u0642\u0639\u06cc RSA\u060c \u0645\u0627 \u0627\u0632 \u0627\u0639\u062f\u0627\u062f\u06cc \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u0645\u0639\u0645\u0648\u0644\u0627\u064b 2048 \u06cc\u0627 4096 \u0628\u06cc\u062a \u0647\u0633\u062a\u0646\u062f. \u0628\u0631\u0627\u06cc \u062f\u0631\u06a9 \u0627\u06cc\u0646 \u0645\u0648\u0636\u0648\u0639\u060c \u06cc\u06a9 \u0639\u062f\u062f 4096 \u0628\u06cc\u062a\u06cc \u062a\u0642\u0631\u06cc\u0628\u0627\u064b 1234 \u0631\u0642\u0645 \u0627\u0639\u0634\u0627\u0631\u06cc \u0637\u0648\u0644 \u062f\u0627\u0631\u062f. \u0627\u0645\u0646\u06cc\u062a \u0627\u0632 \u0627\u06cc\u0646 \u0648\u0627\u0642\u0639\u06cc\u062a \u0646\u0627\u0634\u06cc \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u0641\u0627\u06a9\u062a\u0648\u0631\u06af\u06cc\u0631\u06cc \u0686\u0646\u06cc\u0646 \u0627\u0639\u062f\u0627\u062f \u0628\u0632\u0631\u06af\u06cc \u0627\u0632 \u0646\u0638\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a\u06cc \u0628\u0627 \u0641\u0646\u0627\u0648\u0631\u06cc \u0641\u0639\u0644\u06cc \u063a\u06cc\u0631\u0645\u0645\u06a9\u0646 \u0627\u0633\u062a.<\/p>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u0646\u062d\u0648\u0647 \u0627\u06cc\u062c\u0627\u062f \u0686\u0646\u06cc\u0646 \u06a9\u0644\u06cc\u062f\u06cc \u062f\u0631 \u0639\u0645\u0644 \u0622\u0645\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight shell\"><code><span class=\"c\"># Create a 4096-bit RSA key with custom settings<\/span>\nssh-keygen <span class=\"nt\">-t<\/span> rsa <span class=\"nt\">-b<\/span> 4096 <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-C<\/span> <span class=\"s2\">\"RSA-4096_<\/span><span class=\"si\">$(<\/span><span class=\"nb\">date<\/span> +%Y%m%d<span class=\"si\">)<\/span><span class=\"s2\">\"<\/span> <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-f<\/span> ~\/.ssh\/id_rsa_4096 <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-N<\/span> <span class=\"s2\">\"your_secure_passphrase\"<\/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<h3><span class=\"ez-toc-section\" id=\"Ed25519_Elliptic_Curve_Elegance\"><\/span>\n<p>  Ed25519: Elliptic Curve Elegance<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>Ed25519 \u0628\u0631 \u0631\u0648\u06cc \u06cc\u06a9 \u0645\u0646\u062d\u0646\u06cc \u062a\u062e\u0635\u0635\u06cc \u0627\u062f\u0648\u0627\u0631\u062f\u0632 \u06a9\u0627\u0631 \u0645\u06cc \u06a9\u0646\u062f \u06a9\u0647 \u0628\u0627 \u0645\u0639\u0627\u062f\u0644\u0647 \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647 \u0627\u0633\u062a:<br \/>-x\u00b2 + y\u00b2 = 1 &#8211; (121665\/121666)x\u00b2y\u00b2<\/p>\n<p>\u0627\u06cc\u0646 \u0645\u0646\u062d\u0646\u06cc \u0628\u0631\u0627\u06cc \u0686\u0646\u062f\u06cc\u0646 \u0648\u06cc\u0698\u06af\u06cc \u0631\u06cc\u0627\u0636\u06cc \u06a9\u0647 \u0647\u0645 \u0627\u06cc\u0645\u0646 \u0648 \u0647\u0645 \u06a9\u0627\u0631\u0622\u0645\u062f \u0627\u0633\u062a\u060c \u0628\u0627 \u062f\u0642\u062a \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f. \u0628\u06cc\u0627\u06cc\u06cc\u062f \u0646\u062d\u0648\u0647 \u0639\u0645\u0644\u06a9\u0631\u062f \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0646\u062d\u0646\u06cc \u0631\u0627 \u0628\u0634\u06a9\u0646\u06cc\u0645:<\/p>\n<ol>\n<li>\u0646\u0642\u0637\u0647 \u067e\u0627\u06cc\u0647 B \u0645\u062e\u062a\u0635\u0627\u062a\u06cc \u062f\u0627\u0631\u062f:\n<\/li>\n<\/ol>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>x = 15112221349535400772501151409588531511454012693041857206046113283949847762202\ny = 46316835694926478169428394003475163141307993866256225615783033603165251855960\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<ol>\n<li>\u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc \u06cc\u06a9 k \u0627\u0633\u06a9\u0627\u0644\u0631 256 \u0628\u06cc\u062a\u06cc \u0627\u0633\u062a<\/li>\n<li>\u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc \u0646\u0642\u0637\u0647 k\u00b7B \u0627\u0633\u062a (\u0636\u0631\u0628 \u0627\u0633\u06a9\u0627\u0644\u0631)<\/li>\n<\/ol>\n<p>\u062f\u0631 \u0627\u06cc\u0646\u062c\u0627 \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0633\u0627\u062f\u0647 \u0627\u0632 \u062c\u0645\u0639 \u0646\u0642\u0637\u0647 \u062f\u0631 \u0645\u0646\u062d\u0646\u06cc \u0622\u0645\u062f\u0647 \u0627\u0633\u062a:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>Given two points P1(x\u2081,y\u2081) and P2(x\u2082,y\u2082):\n\nx\u2083 = (x\u2081y\u2082 + y\u2081x\u2082)\/(1 + dx\u2081x\u2082y\u2081y\u2082)\ny\u2083 = (y\u2081y\u2082 - ax\u2081x\u2082)\/(1 - dx\u2081x\u2082y\u2081y\u2082)\n\nwhere d = -121665\/121666\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>\u067e\u06cc\u0627\u062f\u0647\u200c\u0633\u0627\u0632\u06cc \u0648\u0627\u0642\u0639\u06cc Ed25519 \u0627\u0632 \u0645\u062f\u0648\u0644 \u062d\u0633\u0627\u0628\u06cc \u0645\u06cc\u062f\u0627\u0646\u06cc \u0627\u0648\u0644 2255 &#8211; 19 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0627\u0631\u0622\u0645\u062f \u062f\u0631 \u067e\u0631\u062f\u0627\u0632\u0646\u062f\u0647\u200c\u0647\u0627\u06cc 64 \u0628\u06cc\u062a\u06cc \u0645\u062f\u0631\u0646 \u0627\u0646\u062a\u062e\u0627\u0628 \u0634\u062f\u0647 \u0627\u0633\u062a. \u0647\u0646\u06af\u0627\u0645\u06cc \u06a9\u0647 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f Ed25519 \u062a\u0648\u0644\u06cc\u062f \u0645\u06cc \u06a9\u0646\u06cc\u062f:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight shell\"><code><span class=\"c\"># Generate Ed25519 key with maximum entropy<\/span>\nssh-keygen <span class=\"nt\">-t<\/span> ed25519 <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-C<\/span> <span class=\"s2\">\"Ed25519_<\/span><span class=\"si\">$(<\/span><span class=\"nb\">hostname<\/span><span class=\"si\">)<\/span><span class=\"s2\">_<\/span><span class=\"si\">$(<\/span><span class=\"nb\">date<\/span> +%Y%m%d<span class=\"si\">)<\/span><span class=\"s2\">\"<\/span> <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-f<\/span> ~\/.ssh\/id_ed25519 <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-N<\/span> <span class=\"s2\">\"<\/span><span class=\"si\">$(<\/span><span class=\"nb\">head<\/span> <span class=\"nt\">-c<\/span> 32 \/dev\/urandom | <span class=\"nb\">base64<\/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<p>\u0642\u062f\u0631\u062a \u0648\u0627\u0642\u0639\u06cc Ed25519 \u0646\u0627\u0634\u06cc \u0627\u0632 \u0645\u0642\u0627\u0648\u0645\u062a \u0622\u0646 \u062f\u0631 \u0628\u0631\u0627\u0628\u0631 \u062d\u0645\u0644\u0627\u062a \u0645\u062e\u062a\u0644\u0641 \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0627\u0633\u062a:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>Signing equation:\nR = rB\nS = (r + H(R,A,M)a) mod l\n\nwhere:\nr = H(h_b,...,h_2b-1,M)\nH = SHA-512\na = private key\nA = public key\nM = message\nl = 2\u00b2\u2075\u00b2 + 27742317777372353535851937790883648493\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<h3><span class=\"ez-toc-section\" id=\"ECDSA_%D9%85%D9%86%D8%AD%D9%86%DB%8C_%D9%87%D8%A7%DB%8C_NIST\"><\/span>\n<p>  ECDSA: \u0645\u0646\u062d\u0646\u06cc \u0647\u0627\u06cc NIST<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>ECDSA \u0627\u0632 \u0645\u0646\u062d\u0646\u06cc\u200c\u0647\u0627\u06cc P NIST \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc\u200c\u06a9\u0646\u062f \u06a9\u0647 \u0631\u0648\u06cc \u0641\u06cc\u0644\u062f\u0647\u0627\u06cc \u0627\u0648\u0644 \u062a\u0639\u0631\u06cc\u0641 \u0634\u062f\u0647\u200c\u0627\u0646\u062f. \u0645\u0646\u062d\u0646\u06cc P-256 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u0634\u0648\u062f:<br \/>y\u00b2 = x\u00b3 &#8211; 3x + b<\/p>\n<p>\u062c\u0627\u06cc\u06cc \u06a9\u0647 b = 0x5AC635D8AA3A93E7B3EBBD55769886BC651D06B0CC53B0F63BCE3C3E27D2604B<\/p>\n<p>\u0628\u06cc\u0627\u06cc\u06cc\u062f \u06cc\u06a9 \u0636\u0631\u0628 \u0646\u0642\u0637\u0647 \u0627\u06cc \u062f\u0631 \u0627\u06cc\u0646 \u0645\u0646\u062d\u0646\u06cc \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n<ol>\n<li>\u0628\u0627 \u0646\u0642\u0637\u0647 \u067e\u0627\u06cc\u0647 G \u0634\u0631\u0648\u0639 \u06a9\u0646\u06cc\u062f:\n<\/li>\n<\/ol>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>Gx = 0x6B17D1F2E12C4247F8BCE6E563A440F277037D812DEB33A0F4A13945D898C296\nGy = 0x4FE342E2FE1A7F9B8EE7EB4A7C0F9E162BCE33576B315ECECBB6406837BF51F5\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<ol>\n<li>\u0628\u0631\u0627\u06cc \u06cc\u06a9 \u06a9\u0644\u06cc\u062f \u062e\u0635\u0648\u0635\u06cc k\u060c \u06a9\u0644\u06cc\u062f \u0639\u0645\u0648\u0645\u06cc Q = kG \u0627\u0632 \u0637\u0631\u06cc\u0642 \u062f\u0648 \u0628\u0631\u0627\u0628\u0631 \u06a9\u0631\u062f\u0646 \u0648 \u062c\u0645\u0639 \u06a9\u0631\u062f\u0646 \u0645\u06a9\u0631\u0631 \u0646\u0642\u0637\u0647 \u0645\u062d\u0627\u0633\u0628\u0647 \u0645\u06cc \u0634\u0648\u062f:\n<\/li>\n<\/ol>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>Point Addition (P + Q):\ns = (y\u2082 - y\u2081)\/(x\u2082 - x\u2081) mod p\nx\u2083 = s\u00b2 - x\u2081 - x\u2082 mod p\ny\u2083 = s(x\u2081 - x\u2083) - y\u2081 mod p\n\nPoint Doubling (P + P):\ns = (3x\u2081\u00b2 + a)\/(2y\u2081) mod p\nx\u2083 = s\u00b2 - 2x\u2081 mod p\ny\u2083 = s(x\u2081 - x\u2083) - y\u2081 mod p\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>\u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0645\u0646\u062d\u0646\u06cc P-521 \u06cc\u06a9 \u06a9\u0644\u06cc\u062f ECDSA \u0627\u06cc\u062c\u0627\u062f \u06a9\u0646\u06cc\u062f:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight shell\"><code><span class=\"c\"># Generate ECDSA key with P-521 curve<\/span>\nssh-keygen <span class=\"nt\">-t<\/span> ecdsa <span class=\"nt\">-b<\/span> 521 <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-C<\/span> <span class=\"s2\">\"ECDSA_P521_<\/span><span class=\"si\">$(<\/span><span class=\"nb\">date<\/span> +%Y%m%d<span class=\"si\">)<\/span><span class=\"s2\">\"<\/span> <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-f<\/span> ~\/.ssh\/id_ecdsa_521 <span class=\"se\">\\<\/span>\n  <span class=\"nt\">-N<\/span> <span class=\"s2\">\"<\/span><span class=\"si\">$(<\/span>openssl rand <span class=\"nt\">-base64<\/span> 32<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<h3><span class=\"ez-toc-section\" id=\"%D9%85%D9%84%D8%A7%D8%AD%D8%B8%D8%A7%D8%AA_%D8%A7%D9%85%D9%86%DB%8C%D8%AA%DB%8C_%DA%AF%D8%B3%D8%AA%D8%B1%D8%AF%D9%87\"><\/span>\n<p>  \u0645\u0644\u0627\u062d\u0638\u0627\u062a \u0627\u0645\u0646\u06cc\u062a\u06cc \u06af\u0633\u062a\u0631\u062f\u0647<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0627\u0645\u0646\u06cc\u062a \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0628\u0647 \u0645\u0633\u0627\u0626\u0644 \u0645\u062e\u062a\u0644\u0641 \u0631\u06cc\u0627\u0636\u06cc \u0628\u0633\u062a\u06af\u06cc \u062f\u0627\u0631\u062f:<\/p>\n<p>RSA: \u0645\u0634\u06a9\u0644 \u0641\u0627\u06a9\u062a\u0648\u0631\u0633\u0627\u0632\u06cc \u0639\u062f\u062f \u0635\u062d\u06cc\u062d (IFP)<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>Given n = pq, find p and q\nTime complexity: O(exp((log n)^(1\/3) * (log log n)^(2\/3)))\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>Ed25519: \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\u06cc (ECDLP)<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>Given P and Q = kP, find k\nTime complexity: O(\u221an) using Pollard's rho algorithm\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>ECDSA: \u0647\u0645\u0627\u0646\u0646\u062f Ed25519\u060c \u0627\u0645\u0627 \u0628\u0627 \u067e\u0627\u0631\u0627\u0645\u062a\u0631\u0647\u0627\u06cc \u0645\u0646\u062d\u0646\u06cc \u0645\u062a\u0641\u0627\u0648\u062a<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>Security level comparison:\nRSA 3072-bit \u2248 ECDSA\/Ed25519 256-bit\nRSA 15360-bit \u2248 ECDSA\/Ed25519 512-bit\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<h3><span class=\"ez-toc-section\" id=\"%D8%AA%D8%A7%D8%AB%DB%8C%D8%B1_%D9%85%D8%AD%D8%A7%D8%B3%D8%A8%D8%A7%D8%AA_%DA%A9%D9%88%D8%A7%D9%86%D8%AA%D9%88%D9%85%DB%8C\"><\/span>\n<p>  \u062a\u0627\u062b\u06cc\u0631 \u0645\u062d\u0627\u0633\u0628\u0627\u062a \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>\u0638\u0647\u0648\u0631 \u06a9\u0627\u0645\u067e\u06cc\u0648\u062a\u0631\u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u062a\u0647\u062f\u06cc\u062f\u0627\u062a \u0645\u062e\u062a\u0644\u0641\u06cc \u0631\u0627 \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0647\u0627 \u0627\u06cc\u062c\u0627\u062f \u0645\u06cc \u06a9\u0646\u062f. \u0628\u0627 \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0627\u0632 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645 \u0634\u0648\u0631:<\/p>\n<div class=\"highlight js-code-highlight\">\n<pre class=\"highlight plaintext\"><code>RSA factoring time complexity:\nClassical: O(exp((log N)^(1\/3) * (log log N)^(2\/3)))\nQuantum: O((log N)^3)\n\nECDLP solving time complexity:\nClassical: O(\u221an)\nQuantum: O((log n)^3)\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>\u0628\u0647 \u0647\u0645\u06cc\u0646 \u062f\u0644\u06cc\u0644 \u0627\u0633\u062a \u06a9\u0647 \u0631\u0645\u0632\u0646\u06af\u0627\u0631\u06cc \u067e\u0633 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0627\u0647\u0645\u06cc\u062a \u0641\u0632\u0627\u06cc\u0646\u062f\u0647 \u0627\u06cc \u067e\u06cc\u062f\u0627 \u0645\u06cc \u06a9\u0646\u062f\u060c \u0627\u06af\u0631\u0686\u0647 \u0647\u0646\u0648\u0632 \u062f\u0631 \u06a9\u0644\u06cc\u062f\u0647\u0627\u06cc \u0627\u0633\u062a\u0627\u0646\u062f\u0627\u0631\u062f SSH \u067e\u06cc\u0627\u062f\u0647 \u0633\u0627\u0632\u06cc \u0646\u0634\u062f\u0647 \u0627\u0633\u062a.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"%D8%A7%D9%86%D8%AA%D8%AE%D8%A7%D8%A8_%D8%A2%DA%AF%D8%A7%D9%87%D8%A7%D9%86%D9%87\"><\/span>\n<p>  \u0627\u0646\u062a\u062e\u0627\u0628 \u0622\u06af\u0627\u0647\u0627\u0646\u0647<br \/>\n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u0627\u0646\u062a\u062e\u0627\u0628 \u0628\u06cc\u0646 \u0627\u06cc\u0646 \u0627\u0644\u06af\u0648\u0631\u06cc\u062a\u0645\u200c\u0647\u0627 \u0641\u0631\u0627\u062a\u0631 \u0627\u0632 \u0631\u06cc\u0627\u0636\u06cc\u0627\u062a \u0627\u0633\u062a &#8211; \u062f\u0631 \u0645\u0648\u0631\u062f \u062a\u0639\u0627\u062f\u0644 \u0627\u0645\u0646\u06cc\u062a\u060c \u0633\u0627\u0632\u06af\u0627\u0631\u06cc \u0648 \u0639\u0645\u0644\u06a9\u0631\u062f \u0627\u0633\u062a. 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&hellip;<\/p>\n","protected":false},"author":2,"featured_media":85531,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":"","footnotes":""},"categories":[339],"tags":[],"class_list":["post-85530","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dev"],"_links":{"self":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts\/85530","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/comments?post=85530"}],"version-history":[{"count":0,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/posts\/85530\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/media\/85531"}],"wp:attachment":[{"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/media?parent=85530"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/categories?post=85530"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/nabfollower.com\/blog\/wp-json\/wp\/v2\/tags?post=85530"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}