Probability type asymmetric encipherment method based on public key certificate on ellipse curve
An asymmetric encryption and elliptic curve technology, which can be used in public keys for secure communication, activation of coded identification cards or credit cards, special data processing applications, etc. It can solve problems such as large number decomposition and discrete logarithm difficulties. Achieve the effect of fast calculation speed, high security and high security
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[0023] When the present invention is used in network and information confidential communication, it is assumed that sender A wants to send a confidential message to receiver B. The information that this fruit wants to send is exactly the plaintext m, and in the present invention, sender and recipient share an elliptic curve, provide the example that implements on following elliptic curve here:
[0024] E: y 2 =x 3 +ax+b mod n
[0025] in
[0026] p=6277101735386680763835789423207666416083908700390324961279;
[0027] seedE = 0x3045ae6fc8422f64ed579528d38120eae12196d5;
[0028] r = 0x3099d2bbbfcb2538542dcd5fb078b6ed5f3d6fe2c745de65;
[0029] a=-3;
[0030] b=0x64210519e59c80e70fa7e9ab72243049feb8deecc146b9b1;
[0031] h=1
[0032] The order of the elliptic curve is:
[0033] n=6277101735386680763835789423176059013767194773182842284081;
[0034] It is a prime number.
[0035] The selection of the base point P with order n is:
[0036] P = (xG, yG) where
[0037] ...
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