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Provide CP-256, CP-384, CP-521 Y point resolution from an OKP serialized X point - https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-dnhpke-02#section-4.1.1
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package main | |
import ( | |
"crypto/elliptic" | |
"encoding/hex" | |
"fmt" | |
"math/big" | |
) | |
// https://datatracker.ietf.org/doc/html/draft-irtf-cfrg-dnhpke-02#section-4.1.1 | |
func main() { | |
X, _ := hex.DecodeString("8f0cace46987ad7efec5959a925e05bf2c3e0f3d1637a861f79226715be99c41") | |
Y, _ := hex.DecodeString("2c704aa459ef59c319bc1f872f5a7c532143f2f94b56d5565666488bb64c1748") | |
fmt.Println("X: " + hex.EncodeToString(X)) | |
fmt.Println("Y: " + hex.EncodeToString(Y)) | |
fmt.Println("D: " + hex.EncodeToString(D)) | |
c := elliptic.P256() | |
// https://crypto.stackexchange.com/a/20640 | |
// y = ((x^3 + a*x + b)^((p + 1)/4)) mod p | |
x := big.NewInt(0).SetBytes(X) | |
b := c.Params().B | |
p := c.Params().P | |
x3 := new(big.Int).Mul(x, x) | |
x3.Mul(x3, x) | |
threeX := new(big.Int).Lsh(x, 1) | |
threeX.Add(threeX, x) | |
x3.Sub(x3, threeX) | |
x3.Add(x3, b) | |
p1 := new(big.Int).Add(p, big.NewInt(1)) | |
p1.Div(p1, big.NewInt(4)) | |
y := big.NewInt(0).Exp(x3, p1, p) | |
fmt.Println("Y' : " + hex.EncodeToString(y.Bytes())) | |
} |
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