cryptography - Loading raw 64-byte long ECDSA public key in Java

Question

I have a raw (r,s) format ECDSA NIST P-256 public key. It seems that there is no simple way to load it into an object that implements java.security.interfaces.ECPublicKey.

What is the cleanest way to load a 64 byte public key so that it can be used to check signatures?

Answer 1

Java 7 is required for the EC functionality and Java 8 for the Base 64 encoder / decoder, no additional libraries - just plain Java. Note that this will actually display the public key as a named curve when printed out, something most other solutions won't do. If you have an up-to-date runtime, this other answer is more clean.

This answer is going to be tough if we do this using ECPublicKeySpec. So lets cheat a bit and use X509EncodedKeySpec instead:

private static byte[] P256_HEAD = Base64.getDecoder().decode("MFkwEwYHKoZIzj0CAQYIKoZIzj0DAQcDQgAE");

/**
 * Converts an uncompressed secp256r1 / P-256 public point to the EC public key it is representing.
 * @param w a 64 byte uncompressed EC point consisting of just a 256-bit X and Y
 * @return an <code>ECPublicKey</code> that the point represents 
 */
public static ECPublicKey generateP256PublicKeyFromFlatW(byte[] w) throws InvalidKeySpecException {
    byte[] encodedKey = new byte[P256_HEAD.length + w.length];
    System.arraycopy(P256_HEAD, 0, encodedKey, 0, P256_HEAD.length);
    System.arraycopy(w, 0, encodedKey, P256_HEAD.length, w.length);
    KeyFactory eckf;
    try {
        eckf = KeyFactory.getInstance("EC");
    } catch (NoSuchAlgorithmException e) {
        throw new IllegalStateException("EC key factory not present in runtime");
    }
    X509EncodedKeySpec ecpks = new X509EncodedKeySpec(encodedKey);
    return (ECPublicKey) eckf.generatePublic(ecpks);
}

Usage:

ECPublicKey key = generateP256PublicKeyFromFlatW(w);
System.out.println(key);

---

The idea behind this is to create a temporary X509 encoded key, which happily ends with the public point w at the end. The bytes before that contain the ASN.1 DER encoding of the OID of the named curve and structural overhead, ending with byte 04 indicating an uncompressed point. Here is an example what the structure looks like, using value 1 and 2 for the 32-byte X and Y.

The 32-byte X and Y values of the uncompressed point values removed to create the header. This only works because the point is statically sized - it's location at the end is only determined by the size of the curve.

Now all that is required in the function generateP256PublicKeyFromFlatW is to add the received public point w to the header and run it through the decoder implemented for X509EncodedKeySpec.

---

The above code uses a raw, uncompressed public EC point - just a 32 byte X and Y - without the uncompressed point indicator with value 04. Of course it is easy to support 65 byte compressed points as well:

/**
 * Converts an uncompressed secp256r1 / P-256 public point to the EC public key it is representing.
 * @param w a 64 byte uncompressed EC point starting with <code>04</code>
 * @return an <code>ECPublicKey</code> that the point represents 
 */
public static ECPublicKey generateP256PublicKeyFromUncompressedW(byte[] w) throws InvalidKeySpecException {
    if (w[0] != 0x04) {
        throw new InvalidKeySpecException("w is not an uncompressed key");
    }
    return generateP256PublicKeyFromFlatW(Arrays.copyOfRange(w, 1, w.length));
}

---

Finally, I generated the constant P256_HEAD head value in base 64 using:

private static byte[] createHeadForNamedCurve(String name, int size)
        throws NoSuchAlgorithmException,
        InvalidAlgorithmParameterException, IOException {
    KeyPairGenerator kpg = KeyPairGenerator.getInstance("EC");
    ECGenParameterSpec m = new ECGenParameterSpec(name);
    kpg.initialize(m);
    KeyPair kp = kpg.generateKeyPair();
    byte[] encoded = kp.getPublic().getEncoded();
    return Arrays.copyOf(encoded, encoded.length - 2 * (size / Byte.SIZE));
}

called by:

String name = "NIST P-256";
int size = 256;
byte[] head = createHeadForNamedCurve(name, size);
System.out.println(Base64.getEncoder().encodeToString(head));