从私钥派生ECDSA公钥

Question

我试图从私钥生成公共ECDSA密钥，但是在Internet上如何进行此操作方面，我还没有找到太多帮助。几乎所有内容都是根据公共密钥规范生成公共密钥的，我不知道该如何获得。到目前为止，这是我汇总的内容：

public void setPublic() throws GeneralSecurityException {
    ECNamedCurveParameterSpec params = ECNamedCurveTable.getParameterSpec("secp256k1");
    KeyFactory fact = KeyFactory.getInstance("ECDSA", "BC");
    ECCurve curve = params.getCurve();
    java.security.spec.EllipticCurve ellipticCurve = EC5Util.convertCurve(curve, params.getSeed());
    java.security.spec.ECPoint point = ECPointUtil.decodePoint(ellipticCurve, this.privateKey.getEncoded());
    java.security.spec.ECParameterSpec params2=EC5Util.convertSpec(ellipticCurve, params);
    java.security.spec.ECPublicKeySpec keySpec = new java.security.spec.ECPublicKeySpec(point,params2);
    this.publicKey = fact.generatePublic(keySpec);
}

但是，在运行时，出现以下错误：

Exception in thread "main" java.lang.IllegalArgumentException: Invalid point encoding 0x30
at org.bouncycastle.math.ec.ECCurve.decodePoint(Unknown Source)
at org.bouncycastle.jce.ECPointUtil.decodePoint(Unknown Source)
at Wallet.Wallet.setPublic(Wallet.java:125)

我究竟做错了什么？有没有更好/更简便的方法可以做到这一点？

编辑：我设法获得一些代码进行编译，但不能正常工作：

public void setPublic() throws GeneralSecurityException {
    BigInteger privKey = new BigInteger(getHex(privateKey.getEncoded()),16);
    X9ECParameters ecp = SECNamedCurves.getByName("secp256k1");
    ECPoint curvePt = ecp.getG().multiply(privKey);
    BigInteger x = curvePt.getX().toBigInteger();
    BigInteger y = curvePt.getY().toBigInteger();
    byte[] xBytes = removeSignByte(x.toByteArray());
    byte[] yBytes = removeSignByte(y.toByteArray());
    byte[] pubKeyBytes = new byte[65];
    pubKeyBytes[0] = new Byte("04");
    System.arraycopy(xBytes, 0, pubKeyBytes, 1, xBytes.length);
    System.arraycopy(yBytes, 0, pubKeyBytes, 33, xBytes.length);




    ECNamedCurveParameterSpec params = ECNamedCurveTable.getParameterSpec("secp256k1");
    KeyFactory fact = KeyFactory.getInstance("ECDSA", "BC");
    ECCurve curve = params.getCurve();
    java.security.spec.EllipticCurve ellipticCurve = EC5Util.convertCurve(curve, params.getSeed());
    java.security.spec.ECPoint point = ECPointUtil.decodePoint(ellipticCurve, pubKeyBytes);
    java.security.spec.ECParameterSpec params2 = EC5Util.convertSpec(ellipticCurve, params);
    java.security.spec.ECPublicKeySpec keySpec = new java.security.spec.ECPublicKeySpec(point,params2);
    this.publicKey = fact.generatePublic(keySpec);
}

private byte[] removeSignByte(byte[] arr)
{
    if(arr.length==33)
    {
        byte[] newArr = new byte[32];
        System.arraycopy(arr, 1, newArr, 0, newArr.length);
        return newArr;
    }
    return arr;
}

当我运行它时，它会生成一个publicKey，但是它与私钥对应的不是同一个。

Answer 1

因此，过了一会儿，我想出了一个解决方案，并决定将其发布，以防其他人遇到与我相同的问题：

KeyFactory keyFactory = KeyFactory.getInstance("ECDSA", "BC");
    ECParameterSpec ecSpec = ECNamedCurveTable.getParameterSpec("secp256k1");

    ECPoint Q = ecSpec.getG().multiply(((org.bouncycastle.jce.interfaces.ECPrivateKey) this.privateKey).getD());

    ECPublicKeySpec pubSpec = new ECPublicKeySpec(Q, ecSpec);
    PublicKey publicKeyGenerated = keyFactory.generatePublic(pubSpec);
    this.publicKey = publicKeyGenerated;

编辑：删除了根据@MaartenBodewes注释解码ECPoint的代码。