Identity authentication method based on public key certificate on ellipse curve
An elliptic curve and public key certificate technology, which is applied in the field of identity authentication based on public key certificates on elliptic curves, can solve problems such as resource constraints, time-consuming, and unsatisfactory algorithms, and achieve the effect of fast computing speed
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[0018] When the present invention is used for identity authentication, it is assumed that user A wants to conduct confidential communication with user B, and needs to transmit the secret session key on an insecure channel. In the present invention, user A and user B share an elliptic curve, and an elliptic curve is provided here as follows:
[0019] E: y 2 =x 3 +ax+b mod n
[0020] in
[0021] p=6277101735386680763835789423207666416083908700390324961279;
[0022] seedE = 0x3045ae6fc8422f64ed579528d38120eae12196d5;
[0023] r = 0x3099d2bbbfcb2538542dcd5fb078b6ed5f3d6fe2c745de65;
[0024] a=-3;
[0025] b=0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1;
[0026] h=1
[0027] The order of the elliptic curve is:
[0028] n=6277101735386680763835789423176059013767194773182842284081;
[0029] It is a prime number.
[0030] The selection of the base point P with order n is:
[0031] P = (xG, yG) where
[0032] xG=0x188da80eb03090f67cbf20eb43a18800f4ff0afd82ff1012;
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