从ECPrivateKey生成ECPublicKey

Question

我正在尝试在给定私钥和已知曲线的情况下生成公钥。下面是我的代码：

// Generate Keys
ECGenParameterSpec ecGenSpec = new ECGenParameterSpec("secp256r1");
KeyPairGenerator keyPairGenerator = KeyPairGenerator.getInstance("ECDSA", "BC");
keyPairGenerator.initialize(ecGenSpec, new SecureRandom());
java.security.KeyPair pair = keyPairGenerator.generateKeyPair();
ECPrivateKey privateKey = (ECPrivateKey) pair.getPrivate();
ECPublicKey publicKeyExpected = (ECPublicKey) pair.getPublic();

// Expected public key
System.out.print("Expected Public Key: " +
        BaseEncoding.base64Url().encode(publicKeyExpected.getEncoded()));

// Generate public key from private key
X9ECParameters ecp = SECNamedCurves.getByName("secp256r1");
ECDomainParameters domainParams = new ECDomainParameters(ecp.getCurve(),
        ecp.getG(), ecp.getN(), ecp.getH(),
        ecp.getSeed());
ECPoint Q = domainParams.getG().multiply(privateKey.getS()); // is this correct?
KeyFactory kf = KeyFactory.getInstance("ECDSA", "BC");
ECPublicKey publicKeyGenerated =
        (ECPublicKey) kf.generatePublic(new X509EncodedKeySpec(Q.getEncoded(false)));  // exception here

// Generated public key from private key
System.out.print("Generated Public Key: " +
        BaseEncoding.base64Url().encode(publicKeyGenerated.getEncoded()));

但是，当我打电话给kf.generatePublic(new X509EncodedKeySpec(Q.getEncoded(false)))
我时：我得到了例外：（java.security.spec.InvalidKeySpecException: encoded key spec not recognised不是我的拼写错误）

我似乎在计算错误Q，但是我不确定错误在哪里。

谢谢您的帮助！

Answer 1

如果我未来的自己需要解决方案：

// Generate Keys
ECGenParameterSpec ecGenSpec = new ECGenParameterSpec("secp256r1");
KeyPairGenerator keyPairGenerator = KeyPairGenerator.getInstance("ECDSA", "BC");
keyPairGenerator.initialize(ecGenSpec, new SecureRandom());
java.security.KeyPair pair = keyPairGenerator.generateKeyPair();
ECPrivateKey privateKey = (ECPrivateKey) pair.getPrivate();
ECPublicKey publicKeyExpected = (ECPublicKey) pair.getPublic();

// Expected public key
System.out.print("Expected Public Key: " +
        BaseEncoding.base64Url().encode(publicKeyExpected.getEncoded()));

// Generate public key from private key
KeyFactory keyFactory = KeyFactory.getInstance("ECDSA", "BC");
ECParameterSpec ecSpec = ECNamedCurveTable.getParameterSpec("secp256r1");

ECPoint Q = ecSpec.getG().multiply(privateKey.getD());
byte[] publicDerBytes = Q.getEncoded(false);

ECPoint point = ecSpec.getCurve().decodePoint(publicDerBytes);
ECPublicKeySpec pubSpec = new ECPublicKeySpec(point, ecSpec);
ECPublicKey publicKeyGenerated = (ECPublicKey) keyFactory.generatePublic(pubSpec);

// Generated public key from private key
System.out.print("Generated Public Key: " +
        BaseEncoding.base64Url().encode(publicKeyGenerated.getEncoded()));