{"id":475924,"date":"2023-08-09T07:24:43","date_gmt":"2023-08-09T07:24:43","guid":{"rendered":""},"modified":"2023-09-05T11:11:35","modified_gmt":"2023-09-05T11:11:35","slug":"asymmetric-encryption","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/vn\/wiki\/asymmetric-encryption\/","title":{"rendered":"M\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng"},"content":{"rendered":"<p>M\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng, c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 m\u00e3 h\u00f3a kh\u00f3a chung, l\u00e0 ph\u01b0\u01a1ng ph\u00e1p m\u00e3 h\u00f3a s\u1eed d\u1ee5ng hai kh\u00f3a cho qu\u00e1 tr\u00ecnh m\u00e3 h\u00f3a v\u00e0 gi\u1ea3i m\u00e3. Ph\u01b0\u01a1ng ph\u00e1p n\u00e0y cho ph\u00e9p hai b\u00ean trao \u0111\u1ed5i d\u1eef li\u1ec7u m\u1ed9t c\u00e1ch an to\u00e0n qua c\u00e1c k\u00eanh c\u00f3 kh\u1ea3 n\u0103ng kh\u00f4ng an to\u00e0n. \u0110\u00e2y l\u00e0 c\u00f4ng ngh\u1ec7 c\u01a1 b\u1ea3n \u0111\u1eb1ng sau nhi\u1ec1u h\u00ecnh th\u1ee9c li\u00ean l\u1ea1c an to\u00e0n v\u00e0 b\u1ea3o v\u1ec7 d\u1eef li\u1ec7u kh\u00e1c nhau, bao g\u1ed3m giao th\u1ee9c SSL\/TLS, SSH v\u00e0 ch\u1eef k\u00fd s\u1ed1.<\/p>\n<h2>S\u1ef1 ph\u00e1t tri\u1ec3n v\u00e0 nh\u1eefng t\u00e0i li\u1ec7u tham kh\u1ea3o ban \u0111\u1ea7u v\u1ec1 m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n<p>Kh\u00e1i ni\u1ec7m m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng xu\u1ea5t hi\u1ec7n v\u00e0o cu\u1ed1i th\u1ebf k\u1ef7 20 nh\u01b0 m\u1ed9t gi\u1ea3i ph\u00e1p \u0111\u1ed9t ph\u00e1 cho v\u1ea5n \u0111\u1ec1 ph\u00e2n ph\u1ed1i kh\u00f3a, m\u1ed9t v\u1ea5n \u0111\u1ec1 dai d\u1eb3ng trong c\u00e1c s\u01a1 \u0111\u1ed3 m\u00e3 h\u00f3a \u0111\u1ed1i x\u1ee9ng.<\/p>\n<p>\u00dd t\u01b0\u1edfng m\u00e3 h\u00f3a kh\u00f3a c\u00f4ng khai l\u1ea7n \u0111\u1ea7u ti\u00ean \u0111\u01b0\u1ee3c gi\u1edbi thi\u1ec7u t\u1edbi c\u00f4ng ch\u00fang v\u00e0o n\u0103m 1976 th\u00f4ng qua m\u1ed9t b\u00e0i b\u00e1o c\u1ee7a Whitfield Diffie v\u00e0 Martin Hellman c\u00f3 t\u1ef1a \u0111\u1ec1 \u201cNh\u1eefng h\u01b0\u1edbng \u0111i m\u1edbi trong m\u1eadt m\u00e3 h\u1ecdc\u201d. B\u00e0i b\u00e1o \u0111\u1ec1 xu\u1ea5t kh\u1ea3 n\u0103ng v\u1ec1 m\u1ed9t h\u1ec7 th\u1ed1ng m\u1eadt m\u00e3 trong \u0111\u00f3 c\u00e1c kh\u00f3a m\u00e3 h\u00f3a v\u00e0 gi\u1ea3i m\u00e3 l\u00e0 kh\u00e1c nhau v\u00e0 \u0111\u01b0a ra kh\u00e1i ni\u1ec7m v\u1ec1 ch\u1eef k\u00fd s\u1ed1.<\/p>\n<p>Tuy nhi\u00ean, vi\u1ec7c tri\u1ec3n khai th\u1ef1c t\u1ebf \u0111\u1ea7u ti\u00ean nh\u1eefng kh\u00e1i ni\u1ec7m n\u00e0y \u0111\u00e3 \u0111\u01b0\u1ee3c th\u1ef1c hi\u1ec7n b\u1edfi Ronald Rivest, Adi Shamir v\u00e0 Leonard Adleman. H\u1ecd \u0111\u00e3 ph\u00e1t tri\u1ec3n thu\u1eadt to\u00e1n RSA (Rivest-Shamir-Adleman) v\u00e0o n\u0103m 1977, \u0111\u00e2y l\u00e0 thu\u1eadt to\u00e1n m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng s\u1edbm nh\u1ea5t v\u00e0 \u0111\u01b0\u1ee3c c\u00f4ng nh\u1eadn r\u1ed9ng r\u00e3i nh\u1ea5t.<\/p>\n<h2>\u0110i s\u00e2u v\u00e0o m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n<p>M\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng s\u1eed d\u1ee5ng hai lo\u1ea1i kh\u00f3a: kh\u00f3a chung, \u0111\u01b0\u1ee3c m\u1ecdi ng\u01b0\u1eddi bi\u1ebft \u0111\u1ec3 m\u00e3 h\u00f3a v\u00e0 kh\u00f3a ri\u00eang, ch\u1ec9 ng\u01b0\u1eddi nh\u1eadn bi\u1ebft, \u0111\u1ec3 gi\u1ea3i m\u00e3. Kh\u00f4ng gi\u1ed1ng nh\u01b0 m\u00e3 h\u00f3a \u0111\u1ed1i x\u1ee9ng, trong \u0111\u00f3 m\u1ed9t kh\u00f3a duy nh\u1ea5t \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng cho c\u1ea3 m\u00e3 h\u00f3a v\u00e0 gi\u1ea3i m\u00e3, m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111\u1ea3m b\u1ea3o c\u1ea5u tr\u00fac b\u1ea3o m\u1eadt m\u1ea1nh m\u1ebd h\u01a1n b\u1eb1ng c\u00e1ch t\u00e1ch bi\u1ec7t c\u00e1c ch\u1ee9c n\u0103ng n\u00e0y.<\/p>\n<p>Khi m\u1ed9t tin nh\u1eafn \u0111\u01b0\u1ee3c g\u1eedi \u0111i, n\u00f3 s\u1ebd \u0111\u01b0\u1ee3c m\u00e3 h\u00f3a b\u1eb1ng kh\u00f3a chung c\u1ee7a ng\u01b0\u1eddi nh\u1eadn. Khi nh\u1eadn \u0111\u01b0\u1ee3c tin nh\u1eafn \u0111\u01b0\u1ee3c m\u00e3 h\u00f3a, ng\u01b0\u1eddi nh\u1eadn s\u1ebd s\u1eed d\u1ee5ng kh\u00f3a ri\u00eang c\u1ee7a h\u1ecd \u0111\u1ec3 gi\u1ea3i m\u00e3 n\u00f3. V\u00ec kh\u00f3a ri\u00eang \u0111\u01b0\u1ee3c gi\u1eef b\u00ed m\u1eadt n\u00ean n\u00f3 \u0111\u1ea3m b\u1ea3o r\u1eb1ng ngay c\u1ea3 khi kh\u00f3a chung v\u00e0 tin nh\u1eafn \u0111\u01b0\u1ee3c m\u00e3 h\u00f3a r\u01a1i v\u00e0o tay k\u1ebb x\u1ea5u th\u00ec tin nh\u1eafn c\u0169ng kh\u00f4ng th\u1ec3 \u0111\u01b0\u1ee3c gi\u1ea3i m\u00e3 n\u1ebfu kh\u00f4ng c\u00f3 kh\u00f3a ri\u00eang.<\/p>\n<p>N\u1ec1n t\u1ea3ng c\u1ee7a m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng n\u1eb1m \u1edf c\u00e1c h\u00e0m to\u00e1n h\u1ecdc, \u0111\u1eb7c bi\u1ec7t l\u00e0 vi\u1ec7c s\u1eed d\u1ee5ng c\u00e1c h\u00e0m m\u1ed9t chi\u1ec1u, d\u1ec5 t\u00ednh to\u00e1n theo m\u1ed9t h\u01b0\u1edbng nh\u01b0ng kh\u00f4ng th\u1ec3 \u0111\u1ea3o ng\u01b0\u1ee3c v\u1ec1 m\u1eb7t t\u00ednh to\u00e1n.<\/p>\n<h2>C\u00e1ch m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng ho\u1ea1t \u0111\u1ed9ng<\/h2>\n<p>Nguy\u00ean t\u1eafc ho\u1ea1t \u0111\u1ed9ng c\u01a1 b\u1ea3n c\u1ee7a m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng xoay quanh vi\u1ec7c s\u1eed d\u1ee5ng hai kh\u00f3a \u2013 c\u00f4ng khai v\u00e0 ri\u00eang t\u01b0. \u0110\u00e2y l\u00e0 quy tr\u00ecnh t\u1eebng b\u01b0\u1edbc \u0111\u01a1n gi\u1ea3n \u0111\u1ec3 hi\u1ec3u ho\u1ea1t \u0111\u1ed9ng c\u1ee7a n\u00f3:<\/p>\n<ol>\n<li>\n<p>T\u1ea1o kh\u00f3a: M\u1ed9t c\u1eb7p kh\u00f3a (c\u00f4ng khai v\u00e0 ri\u00eang t\u01b0) \u0111\u01b0\u1ee3c t\u1ea1o b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p b\u1ea3o m\u1eadt.<\/p>\n<\/li>\n<li>\n<p>Ph\u00e2n ph\u1ed1i kh\u00f3a c\u00f4ng khai: Kh\u00f3a chung \u0111\u01b0\u1ee3c ph\u00e2n ph\u1ed1i v\u00e0 b\u1ea5t k\u1ef3 ai c\u0169ng c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng \u0111\u1ec3 m\u00e3 h\u00f3a tin nh\u1eafn. Kh\u00f3a ri\u00eang \u0111\u01b0\u1ee3c gi\u1eef b\u00ed m\u1eadt.<\/p>\n<\/li>\n<li>\n<p>M\u00e3 h\u00f3a: Ng\u01b0\u1eddi g\u1eedi s\u1eed d\u1ee5ng kh\u00f3a chung c\u1ee7a ng\u01b0\u1eddi nh\u1eadn \u0111\u1ec3 m\u00e3 h\u00f3a tin nh\u1eafn.<\/p>\n<\/li>\n<li>\n<p>Truy\u1ec1n t\u1ea3i: Tin nh\u1eafn \u0111\u01b0\u1ee3c m\u00e3 h\u00f3a s\u1ebd \u0111\u01b0\u1ee3c g\u1eedi \u0111\u1ebfn ng\u01b0\u1eddi nh\u1eadn.<\/p>\n<\/li>\n<li>\n<p>Gi\u1ea3i m\u00e3: Khi nh\u1eadn \u0111\u01b0\u1ee3c, ng\u01b0\u1eddi nh\u1eadn s\u1eed d\u1ee5ng kh\u00f3a ri\u00eang c\u1ee7a h\u1ecd \u0111\u1ec3 gi\u1ea3i m\u00e3 tin nh\u1eafn v\u00e0 l\u1ea5y n\u1ed9i dung g\u1ed1c.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1c t\u00ednh n\u0103ng ch\u00ednh c\u1ee7a m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n<p>M\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng c\u00f3 m\u1ed9t s\u1ed1 t\u00ednh n\u0103ng ch\u00ednh:<\/p>\n<ol>\n<li>\n<p>B\u1ea3o m\u1eadt: Kh\u00f3a ri\u00eang kh\u00f4ng bao gi\u1edd c\u1ea7n \u0111\u01b0\u1ee3c truy\u1ec1n ho\u1eb7c ti\u1ebft l\u1ed9 cho b\u1ea5t k\u1ef3 ai, \u0111i\u1ec1u n\u00e0y gi\u00fap t\u0103ng c\u01b0\u1eddng b\u1ea3o m\u1eadt.<\/p>\n<\/li>\n<li>\n<p>Ch\u1ed1ng ch\u1ed1i b\u1ecf: N\u00f3 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 cung c\u1ea5p ch\u1eef k\u00fd s\u1ed1 m\u00e0 ng\u01b0\u1eddi g\u1eedi kh\u00f4ng th\u1ec3 t\u1eeb ch\u1ed1i sau n\u00e0y, cung c\u1ea5p t\u00ednh n\u0103ng ch\u1ed1ng ch\u1ed1i b\u1ecf.<\/p>\n<\/li>\n<li>\n<p>Kh\u1ea3 n\u0103ng m\u1edf r\u1ed9ng: N\u00f3 c\u00f3 kh\u1ea3 n\u0103ng m\u1edf r\u1ed9ng cao h\u01a1n \u0111\u1ed1i v\u1edbi m\u1ed9t m\u1ea1ng l\u1edbn n\u01a1i s\u1ed1 l\u01b0\u1ee3ng kh\u00f3a c\u1ea7n thi\u1ebft t\u0103ng tuy\u1ebfn t\u00ednh v\u1edbi s\u1ed1 l\u01b0\u1ee3ng ng\u01b0\u1eddi tham gia.<\/p>\n<\/li>\n<\/ol>\n<h2>C\u00e1c lo\u1ea1i m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n<p>M\u1ed9t s\u1ed1 thu\u1eadt to\u00e1n m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111\u00e3 \u0111\u01b0\u1ee3c ph\u00e1t tri\u1ec3n trong nh\u1eefng n\u0103m qua. M\u1ed9t s\u1ed1 trong nh\u1eefng \u0111i\u1ec1u \u0111\u00e1ng ch\u00fa \u00fd nh\u1ea5t l\u00e0:<\/p>\n<ol>\n<li>RSA (Rivest-Shamir-Adleman)<\/li>\n<li>DSA (Thu\u1eadt to\u00e1n ch\u1eef k\u00fd s\u1ed1)<\/li>\n<li>ElGamal<\/li>\n<li>ECC (M\u1eadt m\u00e3 \u0111\u01b0\u1eddng cong Elliptic)<\/li>\n<li>Trao \u0111\u1ed5i kh\u00f3a Diffie-Hellman<\/li>\n<li>M\u1eadt m\u00e3 d\u1ef1a tr\u00ean m\u1ea1ng<\/li>\n<\/ol>\n<p>C\u00e1c thu\u1eadt to\u00e1n n\u00e0y \u0111\u01b0\u1ee3c \u00e1p d\u1ee5ng kh\u00e1c nhau t\u00f9y thu\u1ed9c v\u00e0o tr\u01b0\u1eddng h\u1ee3p s\u1eed d\u1ee5ng v\u00e0 y\u00eau c\u1ea7u c\u1ee5 th\u1ec3 v\u1ec1 t\u1ed1c \u0111\u1ed9, m\u1ee9c \u0111\u1ed9 b\u1ea3o m\u1eadt v\u00e0 s\u1ee9c m\u1ea1nh x\u1eed l\u00fd.<\/p>\n<h2>M\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng trong th\u1ef1c t\u1ebf: \u1ee8ng d\u1ee5ng, th\u00e1ch th\u1ee9c v\u00e0 gi\u1ea3i ph\u00e1p<\/h2>\n<p>M\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng, t\u1eeb b\u1ea3o m\u1eadt l\u01b0u l\u01b0\u1ee3ng truy c\u1eadp web qua HTTPS \u0111\u1ebfn m\u00e3 h\u00f3a email b\u1eb1ng PGP (Quy\u1ec1n ri\u00eang t\u01b0 kh\u00e1 t\u1ed1t) ho\u1eb7c S\/MIME (Ti\u1ec7n \u00edch m\u1edf r\u1ed9ng th\u01b0 Internet an to\u00e0n\/\u0111a n\u0103ng). N\u00f3 c\u0169ng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng trong c\u00e1c k\u1ebft n\u1ed1i shell an to\u00e0n (SSH), ch\u1eef k\u00fd s\u1ed1, giao d\u1ecbch ti\u1ec1n \u0111i\u1ec7n t\u1eed, v.v.<\/p>\n<p>Tuy nhi\u00ean, m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng c\u0169ng c\u00f3 nh\u1eefng th\u00e1ch th\u1ee9c ri\u00eang. N\u00f3 \u0111\u00f2i h\u1ecfi nhi\u1ec1u t\u00ednh to\u00e1n h\u01a1n v\u00e0 ch\u1eadm h\u01a1n so v\u1edbi m\u00e3 h\u00f3a \u0111\u1ed1i x\u1ee9ng, \u0111i\u1ec1u n\u00e0y c\u00f3 th\u1ec3 l\u00e0 m\u1ed9t h\u1ea1n ch\u1ebf \u0111\u1ed1i v\u1edbi c\u00e1c t\u00ecnh hu\u1ed1ng trong \u0111\u00f3 hi\u1ec7u su\u1ea5t th\u1eddi gian th\u1ef1c l\u00e0 r\u1ea5t quan tr\u1ecdng. Ngo\u00e0i ra, vi\u1ec7c qu\u1ea3n l\u00fd kh\u00f3a c\u00f4ng khai \u0111\u00f2i h\u1ecfi c\u01a1 s\u1edf h\u1ea1 t\u1ea7ng \u0111\u00e1ng tin c\u1eady v\u00e0 an to\u00e0n, th\u01b0\u1eddng \u0111\u01b0\u1ee3c tri\u1ec3n khai d\u01b0\u1edbi d\u1ea1ng C\u01a1 s\u1edf h\u1ea1 t\u1ea7ng kh\u00f3a c\u00f4ng khai (PKI).<\/p>\n<p>B\u1ea5t ch\u1ea5p nh\u1eefng th\u00e1ch th\u1ee9c n\u00e0y, m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng v\u1eabn ti\u1ebfp t\u1ee5c l\u00e0 m\u1ed9t ph\u1ea7n kh\u00f4ng th\u1ec3 thi\u1ebfu nh\u1edd nh\u1eefng l\u1ee3i th\u1ebf v\u1ec1 b\u1ea3o m\u1eadt v\u00e0 kh\u1ea3 n\u0103ng m\u1edf r\u1ed9ng c\u1ee7a n\u00f3. Nh\u1eefng c\u1ea3i ti\u1ebfn v\u1ec1 s\u1ee9c m\u1ea1nh t\u00ednh to\u00e1n v\u00e0 ph\u00e1t tri\u1ec3n c\u00e1c thu\u1eadt to\u00e1n hi\u1ec7u qu\u1ea3 h\u01a1n c\u0169ng ti\u1ebfp t\u1ee5c gi\u1ea3m thi\u1ec3u nh\u1eefng h\u1ea1n ch\u1ebf li\u00ean quan \u0111\u1ebfn hi\u1ec7u su\u1ea5t c\u1ee7a n\u00f3.<\/p>\n<h2>So s\u00e1nh v\u1edbi c\u00e1c ph\u01b0\u01a1ng ph\u00e1p m\u00e3 h\u00f3a t\u01b0\u01a1ng t\u1ef1<\/h2>\n<table>\n<thead>\n<tr>\n<th><\/th>\n<th>M\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/th>\n<th>M\u00e3 h\u00f3a \u0111\u1ed1i x\u1ee9ng<\/th>\n<th>B\u0103m<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td>C\u00e1ch s\u1eed d\u1ee5ng kh\u00f3a<\/td>\n<td>Hai ph\u00edm kh\u00e1c nhau<\/td>\n<td>Ph\u00edm \u0111\u01a1n<\/td>\n<td>Kh\u00f4ng c\u00f3 ch\u00eca kh\u00f3a<\/td>\n<\/tr>\n<tr>\n<td>T\u1ed1c \u0111\u1ed9<\/td>\n<td>Ch\u1eadm<\/td>\n<td>Nhanh<\/td>\n<td>Nhanh<\/td>\n<\/tr>\n<tr>\n<td>M\u1ee5c \u0111\u00edch<\/td>\n<td>M\u00e3 h\u00f3a\/gi\u1ea3i m\u00e3, ch\u1eef k\u00fd, trao \u0111\u1ed5i kh\u00f3a<\/td>\n<td>M\u00e3 h\u00f3a\/gi\u1ea3i m\u00e3<\/td>\n<td>Ki\u1ec3m tra t\u00ednh to\u00e0n v\u1eb9n d\u1eef li\u1ec7u<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h2>Quan \u0111i\u1ec3m v\u00e0 c\u00f4ng ngh\u1ec7 t\u01b0\u01a1ng lai trong m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n<p>\u0110i\u1ec7n to\u00e1n l\u01b0\u1ee3ng t\u1eed \u0111\u1eb7t ra c\u1ea3 m\u1ed1i \u0111e d\u1ecda v\u00e0 c\u01a1 h\u1ed9i cho m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng. M\u1ed9t m\u1eb7t, s\u1ee9c m\u1ea1nh t\u00ednh to\u00e1n c\u1ee7a n\u00f3 c\u00f3 kh\u1ea3 n\u0103ng ph\u00e1 v\u1ee1 c\u00e1c thu\u1eadt to\u00e1n m\u00e3 h\u00f3a hi\u1ec7n t\u1ea1i. M\u1eb7t kh\u00e1c, n\u00f3 cung c\u1ea5p n\u1ec1n t\u1ea3ng cho c\u00e1c ph\u01b0\u01a1ng ph\u00e1p m\u00e3 h\u00f3a l\u01b0\u1ee3ng t\u1eed, ch\u1eb3ng h\u1ea1n nh\u01b0 ph\u00e2n ph\u1ed1i kh\u00f3a l\u01b0\u1ee3ng t\u1eed (QKD), h\u1ee9a h\u1eb9n m\u1ee9c \u0111\u1ed9 b\u1ea3o m\u1eadt ch\u01b0a t\u1eebng c\u00f3.<\/p>\n<p>\u0110\u1ed3ng th\u1eddi, nh\u1eefng ti\u1ebfn b\u1ed9 trong m\u1eadt m\u00e3 d\u1ef1a tr\u00ean m\u1ea1ng \u0111\u01b0\u1ee3c coi l\u00e0 m\u1ed9t c\u00e1ch ti\u1ebfp c\u1eadn \u0111\u1ea7y h\u1ee9a h\u1eb9n \u0111\u1ed1i v\u1edbi \u201cm\u1eadt m\u00e3 h\u1eadu l\u01b0\u1ee3ng t\u1eed\u201d, nh\u1eb1m ph\u00e1t tri\u1ec3n c\u00e1c ph\u01b0\u01a1ng ph\u00e1p m\u00e3 h\u00f3a ch\u1ed1ng l\u1ea1i c\u00e1c cu\u1ed9c t\u1ea5n c\u00f4ng m\u00e1y t\u00ednh l\u01b0\u1ee3ng t\u1eed.<\/p>\n<h2>M\u00e1y ch\u1ee7 proxy v\u00e0 m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n<p>M\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111\u00f3ng m\u1ed9t vai tr\u00f2 quan tr\u1ecdng trong vi\u1ec7c b\u1ea3o m\u1eadt c\u00e1c m\u00e1y ch\u1ee7 proxy. V\u00ed d\u1ee5: m\u00e1y ch\u1ee7 proxy ng\u01b0\u1ee3c, b\u1ea3o v\u1ec7 m\u00e1y ch\u1ee7 web kh\u1ecfi c\u00e1c cu\u1ed9c t\u1ea5n c\u00f4ng, s\u1eed d\u1ee5ng giao th\u1ee9c SSL\/TLS d\u1ef1a v\u00e0o m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111\u1ec3 li\u00ean l\u1ea1c an to\u00e0n.<\/p>\n<p>H\u01a1n n\u1eefa, m\u00e1y ch\u1ee7 proxy th\u01b0\u1eddng s\u1eed d\u1ee5ng HTTPS \u0111\u1ec3 b\u1ea3o m\u1eadt l\u01b0u l\u01b0\u1ee3ng truy c\u1eadp web, bao g\u1ed3m m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng trong qu\u00e1 tr\u00ecnh b\u1eaft tay SSL\/TLS. \u0110i\u1ec1u n\u00e0y kh\u00f4ng ch\u1ec9 b\u1ea3o v\u1ec7 d\u1eef li\u1ec7u trong qu\u00e1 tr\u00ecnh truy\u1ec1n m\u00e0 c\u00f2n \u0111\u1ea3m b\u1ea3o r\u1eb1ng ng\u01b0\u1eddi d\u00f9ng \u0111ang li\u00ean l\u1ea1c v\u1edbi m\u00e1y ch\u1ee7 d\u1ef1 \u0111\u1ecbnh.<\/p>\n<h2>Li\u00ean k\u1ebft li\u00ean quan<\/h2>\n<p>\u0110\u1ec3 \u0111\u1ecdc th\u00eam v\u00e0 th\u00f4ng tin v\u1ec1 m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng, c\u00e1c t\u00e0i nguy\u00ean sau c\u00f3 th\u1ec3 c\u00f3 gi\u00e1 tr\u1ecb:<\/p>\n<ol>\n<li><a href=\"https:\/\/www.emc.com\/emc-plus\/rsa-labs\/standards-initiatives\/public-key-cryptography-standards.htm\" target=\"_new\" rel=\"noopener nofollow\">Ph\u00f2ng th\u00ed nghi\u1ec7m RSA<\/a> \u2013 Ch\u1ee9a nhi\u1ec1u t\u00e0i nguy\u00ean kh\u00e1c nhau li\u00ean quan \u0111\u1ebfn ti\u00eau chu\u1ea9n m\u1eadt m\u00e3 kh\u00f3a c\u00f4ng khai.<\/li>\n<li><a href=\"https:\/\/tools.ietf.org\/html\/rfc8017\" target=\"_new\" rel=\"noopener nofollow\">RFC 8017 \u2013 PKCS #1: Th\u00f4ng s\u1ed1 k\u1ef9 thu\u1eadt m\u00e3 h\u00f3a RSA<\/a> \u2013 C\u00e1c th\u00f4ng s\u1ed1 k\u1ef9 thu\u1eadt ch\u00ednh th\u1ee9c cho m\u00e3 h\u00f3a RSA.<\/li>\n<li><a href=\"https:\/\/csrc.nist.gov\/projects\/post-quantum-cryptography\" target=\"_new\" rel=\"noopener nofollow\">M\u1eadt m\u00e3 h\u1eadu l\u01b0\u1ee3ng t\u1eed c\u1ee7a NIST<\/a> \u2013 Th\u00f4ng tin v\u1ec1 nh\u1eefng n\u1ed7 l\u1ef1c \u0111ang di\u1ec5n ra nh\u1eb1m ph\u00e1t tri\u1ec3n c\u00e1c h\u1ec7 th\u1ed1ng m\u1eadt m\u00e3 m\u1edbi c\u00f3 kh\u1ea3 n\u0103ng ch\u1ed1ng l\u1ea1i m\u00e1y t\u00ednh l\u01b0\u1ee3ng t\u1eed.<\/li>\n<li><a href=\"https:\/\/www.youtube.com\/watch?v=NmM9HA2MQGI\" target=\"_new\" rel=\"noopener nofollow\">Trao \u0111\u1ed5i kh\u00f3a Diffie-Hellman \u2013 L\u1eddi gi\u1ea3i th\u00edch c\u1ee7a m\u1ed9t nh\u00e0 to\u00e1n h\u1ecdc kh\u00f4ng chuy\u00ean<\/a> \u2013 Video gi\u1ea3i th\u00edch c\u00e1ch trao \u0111\u1ed5i kh\u00f3a Diffie-Hellman m\u1ed9t c\u00e1ch d\u1ec5 d\u00e0ng ti\u1ebfp c\u1eadn.<\/li>\n<\/ol>","protected":false},"featured_media":0,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-475924","wiki","type-wiki","status-publish","hentry"],"acf":{"faq_title":"Frequently Asked Questions about <mark>Asymmetric Encryption: The Backbone of Secure Communication<\/mark>","faq_items":[{"question":"What is asymmetric encryption?","answer":"<p>Asymmetric encryption, also known as public key encryption, is a cryptographic method that uses two keys - a public key for encryption and a private key for decryption. It enables secure communication and data protection over potentially insecure channels.<\/p>"},{"question":"How did asymmetric encryption originate?","answer":"<p>The concept of asymmetric encryption was first introduced in 1976 through a paper by Whitfield Diffie and Martin Hellman titled \"New Directions in Cryptography.\" The practical implementation of asymmetric encryption was achieved in 1977 with the RSA algorithm developed by Ronald Rivest, Adi Shamir, and Leonard Adleman.<\/p>"},{"question":"How does asymmetric encryption work?","answer":"<p>Asymmetric encryption employs two keys - a public key and a private key. When a message is sent, it is encrypted using the recipient's public key. The recipient uses their private key to decrypt the message upon receipt, ensuring secure communication.<\/p>"},{"question":"What are the key features of asymmetric encryption?","answer":"<p>Asymmetric encryption offers enhanced security by keeping the private key secret, providing non-repudiation through digital signatures, and scaling efficiently for large networks.<\/p>"},{"question":"What types of asymmetric encryption exist?","answer":"<p>Several asymmetric encryption algorithms are in use, including RSA, DSA, ElGamal, ECC, Diffie-Hellman key exchange, and lattice-based cryptography.<\/p>"},{"question":"How is asymmetric encryption used?","answer":"<p>Asymmetric encryption finds applications in securing web traffic (HTTPS), encrypting emails (PGP\/S\/MIME), secure shell connections (SSH), digital signatures, and cryptocurrency transactions.<\/p>"},{"question":"What are the challenges and solutions related to asymmetric encryption?","answer":"<p>Asymmetric encryption is computationally intensive and slower than symmetric encryption. Managing public keys requires a reliable infrastructure, often implemented as a Public Key Infrastructure (PKI). Advancements in algorithms and hardware help address these challenges.<\/p>"},{"question":"How does asymmetric encryption compare to other cryptographic methods?","answer":"<p>Asymmetric encryption uses two keys, while symmetric encryption uses a single key, and hashing involves no keys. Asymmetric encryption is slower than symmetric encryption but excels in encryption\/decryption, signatures, and key exchange.<\/p>"},{"question":"What are the future perspectives for asymmetric encryption?","answer":"<p>Quantum computing poses challenges, but it also opens opportunities for quantum encryption methods like quantum key distribution (QKD). Advancements in lattice-based cryptography aim to develop post-quantum encryption methods.<\/p>"},{"question":"How does asymmetric encryption relate to proxy servers?","answer":"<p>Asymmetric encryption plays a crucial role in securing proxy servers, especially in protocols like SSL\/TLS for web traffic protection (HTTPS) and secure communication between users and servers.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/475924","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki"}],"about":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/types\/wiki"}],"version-history":[{"count":0,"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/475924\/revisions"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media?parent=475924"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}