Principle of bitcoin seeking public key

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The principle of bitcoin public key is ：

Q=kP

spot P It's called the base point (base point) , And it is user-defined ; k For private key (private key), And randomly generated ;Q For public key (public key), And get .

Match the private key to the generation point P Multiply to get the public key Q (Q For a point )：

This point （x3,y3） The solution is as follows ：

P、Q It's an elliptic curve ：y^2=ax3+ bx^2+cx+d Two points on the

The specific calculation value is ：

Bitcoin system secp256k1 in , Parameter is

p = 0xFFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE FFFFFC2F = 2^256 − 2^32 − 2^9 − 2^8 − 2^7 − 2^6 − 2^4 − 1

a = 0, b = 7

G=(0x79BE667EF9DCBBAC55A06295CE870B07029BFCDB2DCE28D959F2815B16F81798, 0x483ada7726a3c4655da4fbfc0e1108a8fd17b448a68554199c47d08ffb10d4b8)

n = 0xFFFFFFFF FFFFFFFF FFFFFFFF FFFFFFFE BAAEDCE6 AF48A03B BFD25E8C D0364141

h = 01