{"id":475923,"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-cryptography","status":"publish","type":"wiki","link":"https:\/\/oneproxy.pro\/vn\/wiki\/asymmetric-cryptography\/","title":{"rendered":"M\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng"},"content":{"rendered":"

M\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng, th\u01b0\u1eddng \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 m\u1eadt m\u00e3 kh\u00f3a c\u00f4ng khai, \u0111\u00f3ng m\u1ed9t vai tr\u00f2 then ch\u1ed1t trong l\u0129nh v\u1ef1c truy\u1ec1n th\u00f4ng k\u1ef9 thu\u1eadt s\u1ed1 an to\u00e0n. N\u00f3 l\u00e0 m\u1ed9t h\u1ec7 th\u1ed1ng m\u1eadt m\u00e3 s\u1eed d\u1ee5ng c\u00e1c c\u1eb7p kh\u00f3a: kh\u00f3a chung c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u1ed5 bi\u1ebfn r\u1ed9ng r\u00e3i v\u00e0 kh\u00f3a ri\u00eang ch\u1ec9 c\u00f3 ch\u1ee7 s\u1edf h\u1eefu m\u1edbi bi\u1ebft.<\/p>\n

S\u1ef1 ph\u00e1t tri\u1ec3n c\u1ee7a m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n

Kh\u00e1i ni\u1ec7m m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng xu\u1ea5t hi\u1ec7n v\u00e0o nh\u1eefng n\u0103m 1970, l\u00e0 m\u1ed9t b\u01b0\u1edbc \u0111\u1ed9t ph\u00e1 l\u1edbn trong nghi\u00ean c\u1ee9u m\u1eadt m\u00e3. Ngu\u1ed3n g\u1ed1c c\u1ee7a c\u00f4ng ngh\u1ec7 n\u00e0y c\u00f3 th\u1ec3 b\u1eaft ngu\u1ed3n t\u1eeb c\u00f4ng tr\u00ecnh c\u1ee7a ba nh\u00e0 nghi\u00ean c\u1ee9u MIT, Whitfield Diffie, Martin Hellman v\u00e0 Ralph Merkle. N\u0103m 1976, h\u1ecd gi\u1edbi thi\u1ec7u kh\u00e1i ni\u1ec7m m\u1eadt m\u00e3 kh\u00f3a c\u00f4ng khai trong m\u1ed9t b\u00e0i b\u00e1o c\u00f3 t\u1ef1a \u0111\u1ec1 \u201cNh\u1eefng h\u01b0\u1edbng \u0111i m\u1edbi trong m\u1eadt m\u00e3 h\u1ecdc\u201d.<\/p>\n

Tri\u1ec3n khai \u0111\u1ea7y \u0111\u1ee7 ch\u1ee9c n\u0103ng \u0111\u1ea7u ti\u00ean c\u1ee7a h\u1ec7 th\u1ed1ng kh\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng l\u00e0 thu\u1eadt to\u00e1n RSA (Rivest-Shamir-Adleman), \u0111\u01b0\u1ee3c \u0111\u1ec1 xu\u1ea5t v\u00e0o n\u0103m 1977. \u0110\u01b0\u1ee3c \u0111\u1eb7t theo t\u00ean c\u1ee7a nh\u1eefng ng\u01b0\u1eddi t\u1ea1o ra n\u00f3 l\u00e0 Ronald Rivest, Adi Shamir v\u00e0 Leonard Adleman, RSA \u0111\u00e3 tr\u1edf th\u00e0nh m\u1ed9t trong nh\u1eefng thu\u1eadt to\u00e1n b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i nh\u1ea5t c\u00e1c thu\u1eadt to\u00e1n cho \u0111\u1ebfn nay.<\/p>\n

\u0110i s\u00e2u v\u00e0o m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n

Ng\u01b0\u1ee3c l\u1ea1i v\u1edbi m\u1eadt m\u00e3 \u0111\u1ed1i x\u1ee9ng, trong \u0111\u00f3 c\u00f9ng m\u1ed9t kh\u00f3a \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 m\u00e3 h\u00f3a v\u00e0 gi\u1ea3i m\u00e3, m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng s\u1eed d\u1ee5ng hai kh\u00f3a ri\u00eang bi\u1ec7t nh\u01b0ng \u0111\u01b0\u1ee3c li\u00ean k\u1ebft v\u1ec1 m\u1eb7t to\u00e1n h\u1ecdc. N\u1ebfu tin nh\u1eafn \u0111\u01b0\u1ee3c m\u00e3 h\u00f3a b\u1eb1ng m\u1ed9t kh\u00f3a th\u00ec n\u00f3 ch\u1ec9 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c gi\u1ea3i m\u00e3 b\u1eb1ng kh\u00f3a c\u00f2n l\u1ea1i c\u1ee7a c\u1eb7p.<\/p>\n

Hai kh\u00f3a trong m\u1ed9t c\u1eb7p \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 'c\u00f4ng khai' v\u00e0 'ri\u00eang t\u01b0'. Kh\u00f3a c\u00f4ng khai, nh\u01b0 t\u00ean cho th\u1ea5y, c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u00e2n ph\u1ed1i c\u00f4ng khai, cho ph\u00e9p b\u1ea5t k\u1ef3 ai m\u00e3 h\u00f3a tin nh\u1eafn. Tuy nhi\u00ean, tin nh\u1eafn \u0111\u01b0\u1ee3c m\u00e3 h\u00f3a ch\u1ec9 c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ng\u01b0\u1eddi nh\u1eadn gi\u1ea3i m\u00e3 b\u1eb1ng kh\u00f3a ri\u00eang t\u01b0\u01a1ng \u1ee9ng.<\/p>\n

Vi\u1ec7c s\u1eed d\u1ee5ng c\u00e1c kh\u00f3a m\u00e3 h\u00f3a v\u00e0 gi\u1ea3i m\u00e3 ri\u00eang bi\u1ec7t s\u1ebd t\u0103ng c\u01b0\u1eddng t\u00ednh b\u1ea3o m\u1eadt c\u1ee7a k\u00eanh li\u00ean l\u1ea1c, v\u00ec ngay c\u1ea3 khi k\u1ebb t\u1ea5n c\u00f4ng c\u00f3 \u0111\u01b0\u1ee3c quy\u1ec1n truy c\u1eadp v\u00e0o kh\u00f3a chung, ch\u00fang c\u0169ng kh\u00f4ng th\u1ec3 gi\u1ea3i m\u00e3 c\u00e1c tin nh\u1eafn \u0111\u01b0\u1ee3c m\u00e3 h\u00f3a b\u1eb1ng kh\u00f3a \u0111\u00f3.<\/p>\n

C\u00e1c c\u01a1 ch\u1ebf c\u01a1 b\u1ea3n c\u1ee7a m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n

Ch\u00fang ta h\u00e3y \u0111i s\u00e2u v\u00e0o c\u00e1ch ho\u1ea1t \u0111\u1ed9ng c\u1ee7a m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng. \u0110\u00f3 l\u00e0 t\u1ea5t c\u1ea3 v\u1ec1 c\u00e1c th\u1ee7 t\u1ee5c v\u00e0 thu\u1eadt to\u00e1n to\u00e1n h\u1ecdc ph\u1ee9c t\u1ea1p. Ch\u1eb3ng h\u1ea1n, thu\u1eadt to\u00e1n RSA s\u1eed d\u1ee5ng c\u00e1c thu\u1ed9c t\u00ednh to\u00e1n h\u1ecdc c\u1ee7a c\u00e1c s\u1ed1 nguy\u00ean t\u1ed1 l\u1edbn \u0111\u1ec3 t\u1ea1o ra c\u00e1c c\u1eb7p kh\u00f3a.<\/p>\n

Qu\u00e1 tr\u00ecnh t\u1ea1o kh\u00f3a bao g\u1ed3m c\u00e1c b\u01b0\u1edbc sau:<\/p>\n

    \n
  1. Ch\u1ecdn hai s\u1ed1 nguy\u00ean t\u1ed1 l\u1edbn p v\u00e0 q.<\/li>\n
  2. T\u00ednh t\u00edch n = p*q. \u0110i\u1ec1u n\u00e0y t\u1ea1o th\u00e0nh m\u00f4-\u0111un cho c\u1ea3 kh\u00f3a chung v\u00e0 kh\u00f3a ri\u00eang.<\/li>\n
  3. T\u00ednh s\u1ed1 d\u1eabn xu\u1ea5t \u03c6(n) = (p-1)*(q-1).<\/li>\n
  4. Ch\u1ecdn m\u1ed9t s\u1ed1 nguy\u00ean e sao cho 1 < e < \u03c6(n), e v\u00e0 \u03c6(n) nguy\u00ean t\u1ed1 c\u00f9ng nhau. \u0110\u00e2y l\u00e0 s\u1ed1 m\u0169 kh\u00f3a c\u00f4ng khai.<\/li>\n
  5. X\u00e1c \u0111\u1ecbnh m\u1ed9t s\u1ed1 d sao cho (d * e) mod \u03c6(n) = 1. \u0110i\u1ec1u n\u00e0y t\u1ea1o th\u00e0nh s\u1ed1 m\u0169 kh\u00f3a ri\u00eang.<\/li>\n<\/ol>\n

    Kh\u00f3a chung bao g\u1ed3m c\u1eb7p (n, e) v\u00e0 kh\u00f3a ri\u00eang l\u00e0 (n, d). M\u00e3 h\u00f3a v\u00e0 gi\u1ea3i m\u00e3 li\u00ean quan \u0111\u1ebfn s\u1ed1 h\u1ecdc m\u00f4-\u0111un tr\u00ean b\u1ea3n r\u00f5 v\u00e0 b\u1ea3n m\u00e3.<\/p>\n

    C\u00e1c t\u00ednh n\u0103ng ch\u00ednh c\u1ee7a m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n

    C\u00e1c \u0111\u1eb7c \u0111i\u1ec3m ch\u00ednh c\u1ee7a m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng bao g\u1ed3m:<\/p>\n

      \n
    1. Ph\u00e2n ph\u1ed1i kh\u00f3a:<\/strong> Kh\u00f3a c\u00f4ng khai c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c ph\u00e2n ph\u1ed1i t\u1ef1 do m\u00e0 kh\u00f4ng \u1ea3nh h\u01b0\u1edfng \u0111\u1ebfn kh\u00f3a ri\u00eang.<\/li>\n
    2. B\u1ea3o v\u1ec7:<\/strong> Kh\u00f3a ri\u00eang kh\u00f4ng bao gi\u1edd \u0111\u01b0\u1ee3c truy\u1ec1n \u0111i ho\u1eb7c ti\u1ebft l\u1ed9, \u0111\u1ea3m b\u1ea3o t\u00ednh b\u1ea3o m\u1eadt \u0111\u01b0\u1ee3c n\u00e2ng cao.<\/li>\n
    3. Kh\u00f4ng b\u00e1c b\u1ecf:<\/strong> V\u00ec kh\u00f3a ri\u00eang ch\u1ec9 do ch\u1ee7 s\u1edf h\u1eefu s\u1edf h\u1eefu n\u00ean n\u00f3 cung c\u1ea5p kh\u1ea3 n\u0103ng ch\u1ed1ng ch\u1ed1i b\u1ecf, ch\u1ee9ng minh r\u1eb1ng tin nh\u1eafn th\u1ef1c s\u1ef1 \u0111\u00e3 \u0111\u01b0\u1ee3c g\u1eedi b\u1edfi ng\u01b0\u1eddi g\u1eedi \u0111\u01b0\u1ee3c y\u00eau c\u1ea7u.<\/li>\n
    4. Ch\u1eef k\u00fd s\u1ed1:<\/strong> M\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng cho ph\u00e9p s\u1eed d\u1ee5ng ch\u1eef k\u00fd s\u1ed1, cung c\u1ea5p t\u00ednh x\u00e1c th\u1ef1c, t\u00ednh to\u00e0n v\u1eb9n v\u00e0 kh\u00f4ng th\u1ec3 ch\u1ed1i b\u1ecf \u0111\u1ed1i v\u1edbi d\u1eef li\u1ec7u s\u1ed1.<\/li>\n<\/ol>\n

      C\u00e1c lo\u1ea1i m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n

      Nhi\u1ec1u lo\u1ea1i thu\u1eadt to\u00e1n m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111ang \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng ng\u00e0y nay, bao g\u1ed3m:<\/p>\n\n\n\n\n\n\n\n\n\n
      Thu\u1eadt to\u00e1n<\/th>\nTr\u01b0\u1eddng h\u1ee3p s\u1eed d\u1ee5ng<\/th>\n<\/tr>\n<\/thead>\n
      RSA<\/td>\n\u0110\u01b0\u1ee3c s\u1eed d\u1ee5ng r\u1ed9ng r\u00e3i \u0111\u1ec3 m\u00e3 h\u00f3a d\u1eef li\u1ec7u v\u00e0 ch\u1eef k\u00fd s\u1ed1<\/td>\n<\/tr>\n
      DSA (Thu\u1eadt to\u00e1n ch\u1eef k\u00fd s\u1ed1)<\/td>\nCh\u1ee7 y\u1ebfu d\u00e0nh cho ch\u1eef k\u00fd s\u1ed1<\/td>\n<\/tr>\n
      ECC (M\u1eadt m\u00e3 \u0111\u01b0\u1eddng cong Elliptic)<\/td>\n\u0110\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 m\u00e3 h\u00f3a, ch\u1eef k\u00fd s\u1ed1, tr\u00ecnh t\u1ea1o gi\u1ea3 ng\u1eabu nhi\u00ean<\/td>\n<\/tr>\n
      ElGamal<\/td>\n\u0110\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 m\u00e3 h\u00f3a v\u00e0 ch\u1eef k\u00fd s\u1ed1<\/td>\n<\/tr>\n
      Diffie-Hellman<\/td>\n\u0110\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 trao \u0111\u1ed5i kh\u00f3a an to\u00e0n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Tri\u1ec3n khai v\u00e0 th\u00e1ch th\u1ee9c c\u1ee7a m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n

      M\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng c\u00f3 nhi\u1ec1u \u1ee9ng d\u1ee5ng, t\u1eeb d\u1ecbch v\u1ee5 email b\u1ea3o m\u1eadt \u0111\u1ebfn ch\u1ee9ng ch\u1ec9 SSL\/TLS cho HTTPS. N\u00f3 cho ph\u00e9p trao \u0111\u1ed5i kh\u00f3a an to\u00e0n qua m\u1ea1ng kh\u00f4ng an to\u00e0n, t\u00ednh to\u00e0n v\u1eb9n d\u1eef li\u1ec7u, x\u00e1c th\u1ef1c v\u00e0 ch\u1ed1ng ch\u1ed1i b\u1ecf.<\/p>\n

      Tuy nhi\u00ean, n\u00f3 c\u0169ng \u0111\u01b0a ra nh\u1eefng th\u00e1ch th\u1ee9c nh\u01b0 qu\u1ea3n l\u00fd kh\u00f3a v\u00e0 hi\u1ec7u su\u1ea5t t\u00ednh to\u00e1n. Qu\u00e1 tr\u00ecnh t\u1ea1o, ph\u00e2n ph\u1ed1i, l\u01b0u tr\u1eef v\u00e0 h\u1ee7y b\u1ecf kh\u00f3a theo c\u00e1ch an to\u00e0n, \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 qu\u1ea3n l\u00fd kh\u00f3a, r\u1ea5t ph\u1ee9c t\u1ea1p v\u00e0 quan tr\u1ecdng \u0111\u1ec3 duy tr\u00ec b\u1ea3o m\u1eadt.<\/p>\n

      H\u01a1n n\u1eefa, m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng bao g\u1ed3m c\u00e1c qu\u00e1 tr\u00ecnh t\u00ednh to\u00e1n n\u1eb7ng n\u1ec1, khi\u1ebfn n\u00f3 ch\u1eadm h\u01a1n c\u00e1c ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ed1i x\u1ee9ng. \u0110\u1ec3 kh\u1eafc ph\u1ee5c \u0111i\u1ec1u n\u00e0y, ng\u01b0\u1eddi ta th\u01b0\u1eddng s\u1eed d\u1ee5ng s\u1ef1 k\u1ebft h\u1ee3p c\u1ee7a c\u1ea3 hai, trong \u0111\u00f3 m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 trao \u0111\u1ed5i kh\u00f3a an to\u00e0n v\u00e0 m\u1eadt m\u00e3 \u0111\u1ed1i x\u1ee9ng \u0111\u1ec3 truy\u1ec1n d\u1eef li\u1ec7u.<\/p>\n

      So s\u00e1nh v\u1edbi c\u00e1c kh\u00e1i ni\u1ec7m t\u01b0\u01a1ng t\u1ef1<\/h2>\n\n\n\n\n\n\n\n\n
      T\u00ednh n\u0103ng<\/th>\nM\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/th>\nM\u1eadt m\u00e3 \u0111\u1ed1i x\u1ee9ng<\/th>\n<\/tr>\n<\/thead>\n
      C\u00e1ch s\u1eed d\u1ee5ng kh\u00f3a<\/td>\nS\u1eed d\u1ee5ng m\u1ed9t c\u1eb7p kh\u00f3a chung v\u00e0 kh\u00f3a ri\u00eang<\/td>\nS\u1eed d\u1ee5ng m\u1ed9t kh\u00f3a chung duy nh\u1ea5t<\/td>\n<\/tr>\n
      T\u1ed1c \u0111\u1ed9<\/td>\nCh\u1eadm h\u01a1n do t\u00ednh to\u00e1n ph\u1ee9c t\u1ea1p<\/td>\nNhanh h\u01a1n v\u00e0 hi\u1ec7u qu\u1ea3 h\u01a1n<\/td>\n<\/tr>\n
      Ph\u00e2n ph\u1ed1i kh\u00f3a<\/td>\nAn to\u00e0n h\u01a1n v\u00ec ch\u1ec9 c\u00f3 kh\u00f3a chung \u0111\u01b0\u1ee3c ph\u00e2n ph\u1ed1i<\/td>\nR\u1ee7i ro v\u00ec kh\u00f3a ph\u1ea3i \u0111\u01b0\u1ee3c chia s\u1ebb m\u1ed9t c\u00e1ch an to\u00e0n<\/td>\n<\/tr>\n
      \u1ee8ng d\u1ee5ng ch\u00ednh<\/td>\nTrao \u0111\u1ed5i kh\u00f3a, ch\u1eef k\u00fd s\u1ed1<\/td>\nM\u00e3 h\u00f3a d\u1eef li\u1ec7u<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

      Quan \u0111i\u1ec3m t\u01b0\u01a1ng lai v\u1ec1 m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng<\/h2>\n

      T\u01b0\u01a1ng lai c\u1ee7a m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng n\u1eb1m \u1edf vi\u1ec7c gi\u1ea3i quy\u1ebft th\u00e0nh c\u00f4ng nh\u1eefng th\u00e1ch th\u1ee9c do \u0111i\u1ec7n to\u00e1n l\u01b0\u1ee3ng t\u1eed \u0111\u01b0a ra. Hi\u1ec7n t\u1ea1i, h\u1ea7u h\u1ebft c\u00e1c thu\u1eadt to\u00e1n m\u00e3 h\u00f3a b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111\u1ec1u c\u00f3 kh\u1ea3 n\u0103ng b\u1ecb ph\u00e1 v\u1ee1 b\u1edfi c\u00e1c m\u00e1y t\u00ednh l\u01b0\u1ee3ng t\u1eed m\u1ea1nh m\u1ebd. Do \u0111\u00f3, l\u0129nh v\u1ef1c m\u1eadt m\u00e3 h\u1eadu l\u01b0\u1ee3ng t\u1eed, t\u1eadp trung v\u00e0o ph\u00e1t tri\u1ec3n c\u00e1c thu\u1eadt to\u00e1n ch\u1ed1ng l\u1ea1i c\u00e1c cu\u1ed9c t\u1ea5n c\u00f4ng l\u01b0\u1ee3ng t\u1eed, \u0111ang thu h\u00fat \u0111\u01b0\u1ee3c s\u1ef1 ch\u00fa \u00fd.<\/p>\n

      M\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng v\u00e0 m\u00e1y ch\u1ee7 proxy<\/h2>\n

      C\u00e1c m\u00e1y ch\u1ee7 proxy, ch\u1eb3ng h\u1ea1n nh\u01b0 c\u00e1c m\u00e1y ch\u1ee7 do OneProxy cung c\u1ea5p, \u0111\u00f3ng vai tr\u00f2 trung gian cho c\u00e1c y\u00eau c\u1ea7u t\u1eeb kh\u00e1ch h\u00e0ng \u0111ang t\u00ecm ki\u1ebfm t\u00e0i nguy\u00ean t\u1eeb c\u00e1c m\u00e1y ch\u1ee7 kh\u00e1c. M\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng c\u00f3 th\u1ec3 t\u0103ng c\u01b0\u1eddng t\u00ednh b\u1ea3o m\u1eadt c\u1ee7a c\u00e1c t\u01b0\u01a1ng t\u00e1c n\u00e0y. V\u00ed d\u1ee5: khi m\u00e1y kh\u00e1ch k\u1ebft n\u1ed1i v\u1edbi m\u00e1y ch\u1ee7 proxy, thu\u1eadt to\u00e1n b\u1ea5t \u0111\u1ed1i x\u1ee9ng nh\u01b0 RSA c\u00f3 th\u1ec3 \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng \u0111\u1ec3 trao \u0111\u1ed5i kh\u00f3a \u0111\u1ed1i x\u1ee9ng, sau \u0111\u00f3 \u0111\u1ea3m b\u1ea3o qu\u00e1 tr\u00ecnh truy\u1ec1n d\u1eef li\u1ec7u ti\u1ebfp theo b\u1eb1ng c\u00e1c k\u1ef9 thu\u1eadt nh\u01b0 AES (Ti\u00eau chu\u1ea9n m\u00e3 h\u00f3a n\u00e2ng cao).<\/p>\n

      Li\u00ean k\u1ebft li\u00ean quan<\/h2>\n
        \n
      1. H\u1ec7 th\u1ed1ng m\u1eadt m\u00e3 RSA<\/a><\/li>\n
      2. M\u1eadt m\u00e3 \u0111\u01b0\u1eddng cong Elliptic<\/a><\/li>\n
      3. Thu\u1eadt to\u00e1n ch\u1eef k\u00fd s\u1ed1<\/a><\/li>\n
      4. Trao \u0111\u1ed5i kh\u00f3a Diffie\u2013Hellman<\/a><\/li>\n
      5. \u0110i\u1ec7n to\u00e1n l\u01b0\u1ee3ng t\u1eed v\u00e0 m\u1eadt m\u00e3 h\u1eadu l\u01b0\u1ee3ng t\u1eed<\/a><\/li>\n<\/ol>\n

        T\u00f3m l\u1ea1i, m\u1eadt m\u00e3 b\u1ea5t \u0111\u1ed1i x\u1ee9ng \u0111\u00e3, \u0111ang v\u00e0 s\u1ebd ti\u1ebfp t\u1ee5c l\u00e0 c\u00f4ng c\u1ee5 cung c\u1ea5p c\u00e1c k\u00eanh li\u00ean l\u1ea1c an to\u00e0n trong m\u1ed9t th\u1ebf gi\u1edbi k\u1ef9 thu\u1eadt s\u1ed1 ng\u00e0y c\u00e0ng \u0111\u01b0\u1ee3c k\u1ebft n\u1ed1i v\u1edbi nhau.<\/p>","protected":false},"featured_media":0,"menu_order":0,"template":"","meta":{"_acf_changed":false,"content-type":"","inline_featured_image":false,"footnotes":""},"class_list":["post-475923","wiki","type-wiki","status-publish","hentry"],"acf":{"faq_title":"Frequently Asked Questions about Asymmetric Cryptography: The Cornerstone of Secure Communication<\/mark>","faq_items":[{"question":"What is Asymmetric Cryptography?","answer":"

        Asymmetric cryptography, also known as public-key cryptography, is a cryptographic system that uses pairs of keys: public keys which may be disseminated widely, and private keys which are known only to the owner.<\/p>"},{"question":"Who are the pioneers of Asymmetric Cryptography?","answer":"

        The concept of asymmetric cryptography was introduced by Whitfield Diffie, Martin Hellman, and Ralph Merkle, three researchers from MIT, in the 1970s. The first fully functional implementation of an asymmetric key system was the RSA (Rivest-Shamir-Adleman) algorithm, proposed in 1977.<\/p>"},{"question":"How does Asymmetric Cryptography work?","answer":"

        In asymmetric cryptography, two distinct, yet mathematically linked, keys are used. If a message is encrypted with one key, it can only be decrypted using the other key of the pair. The public key can be distributed openly, allowing anyone to encrypt a message. However, the encrypted message can only be decrypted by the recipient using the corresponding private key.<\/p>"},{"question":"What are the key features of Asymmetric Cryptography?","answer":"

        The primary characteristics of asymmetric cryptography include key distribution, enhanced security, non-repudiation, and enabling the use of digital signatures.<\/p>"},{"question":"What are some types of Asymmetric Cryptography?","answer":"

        Some types of asymmetric cryptographic algorithms include RSA, DSA (Digital Signature Algorithm), ECC (Elliptic Curve Cryptography), ElGamal, and Diffie-Hellman.<\/p>"},{"question":"What are the applications and challenges of Asymmetric Cryptography?","answer":"

        Asymmetric cryptography has applications in secure email services, SSL\/TLS certificates for HTTPS, and more. However, it presents challenges such as key management and computational performance due to heavy computational processes.<\/p>"},{"question":"How does Asymmetric Cryptography compare to Symmetric Cryptography?","answer":"

        Asymmetric cryptography uses a pair of public and private keys, is slower due to complex computations, and is safer in terms of key distribution. On the other hand, symmetric cryptography uses a single shared key, is faster and more efficient, but is riskier in terms of key distribution.<\/p>"},{"question":"What is the future of Asymmetric Cryptography?","answer":"

        The future of asymmetric cryptography lies in combating the challenges presented by quantum computing. The field of post-quantum cryptography, which focuses on developing algorithms resistant to quantum attacks, is gaining attention.<\/p>"},{"question":"How are Proxy Servers associated with Asymmetric Cryptography?","answer":"

        Proxy servers, such as those provided by OneProxy, can use asymmetric cryptography to enhance the security of interactions. When a client connects to a proxy server, an asymmetric algorithm like RSA can be used to exchange a symmetric key, which then secures the subsequent data transfer.<\/p>"}]},"_links":{"self":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/wiki\/475923","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\/475923\/revisions"}],"wp:attachment":[{"href":"https:\/\/oneproxy.pro\/vn\/wp-json\/wp\/v2\/media?parent=475923"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}