/* * Copyright (c) 2006, 2024, Oracle and/or its affiliates. All rights reserved. * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. * * This code is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License version 2 only, as * published by the Free Software Foundation. Oracle designates this * particular file as subject to the "Classpath" exception as provided * by Oracle in the LICENSE file that accompanied this code. * * This code is distributed in the hope that it will be useful, but WITHOUT * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or * FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * version 2 for more details (a copy is included in the LICENSE file that * accompanied this code). * * You should have received a copy of the GNU General Public License version * 2 along with this work; if not, write to the Free Software Foundation, * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. * * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA * or visit www.oracle.com if you need additional information or have any * questions. */ package sun.security.util; import jdk.internal.access.SharedSecrets; import java.io.IOException; import java.math.BigInteger; import java.security.*; import java.security.interfaces.*; import java.security.spec.*; import java.util.Arrays; import java.util.Objects; public final class ECUtil { // Used by SunEC public static byte[] sArray(BigInteger s, ECParameterSpec params) { byte[] arr = s.toByteArray(); ArrayUtil.reverse(arr); int byteLength = (params.getOrder().bitLength() + 7) / 8; byte[] arrayS = new byte[byteLength]; int length = Math.min(byteLength, arr.length); System.arraycopy(arr, 0, arrayS, 0, length); return arrayS; } // Used by SunPKCS11 and SunJSSE. public static ECPoint decodePoint(byte[] data, EllipticCurve curve) throws IOException { if ((data.length == 0) || (data[0] != 4)) { throw new IOException("Only uncompressed point format supported"); } // Per ANSI X9.62, an encoded point is a 1 byte type followed by // ceiling(log base 2 field-size / 8) bytes of x and the same of y. int n = (data.length - 1) / 2; if (n != ((curve.getField().getFieldSize() + 7 ) >> 3)) { throw new IOException("Point does not match field size"); } byte[] xb = Arrays.copyOfRange(data, 1, 1 + n); byte[] yb = Arrays.copyOfRange(data, n + 1, n + 1 + n); return new ECPoint(new BigInteger(1, xb), new BigInteger(1, yb)); } // Used by SunPKCS11 and SunJSSE. public static byte[] encodePoint(ECPoint point, EllipticCurve curve) { // get field size in bytes (rounding up) int n = (curve.getField().getFieldSize() + 7) >> 3; byte[] xb = trimZeroes(point.getAffineX().toByteArray()); byte[] yb = trimZeroes(point.getAffineY().toByteArray()); if ((xb.length > n) || (yb.length > n)) { throw new RuntimeException ("Point coordinates do not match field size"); } byte[] b = new byte[1 + (n << 1)]; b[0] = 4; // uncompressed System.arraycopy(xb, 0, b, n - xb.length + 1, xb.length); System.arraycopy(yb, 0, b, b.length - yb.length, yb.length); return b; } public static byte[] trimZeroes(byte[] b) { int i = 0; while ((i < b.length - 1) && (b[i] == 0)) { i++; } if (i == 0) { return b; } return Arrays.copyOfRange(b, i, b.length); } private static KeyFactory getKeyFactory() { try { return KeyFactory.getInstance("EC", "SunEC"); } catch (NoSuchAlgorithmException | NoSuchProviderException e) { throw new RuntimeException(e); } } public static ECPublicKey decodeX509ECPublicKey(byte[] encoded) throws InvalidKeySpecException { KeyFactory keyFactory = getKeyFactory(); X509EncodedKeySpec keySpec = new X509EncodedKeySpec(encoded); return (ECPublicKey)keyFactory.generatePublic(keySpec); } public static byte[] x509EncodeECPublicKey(ECPoint w, ECParameterSpec params) throws InvalidKeySpecException { KeyFactory keyFactory = getKeyFactory(); ECPublicKeySpec keySpec = new ECPublicKeySpec(w, params); Key key = keyFactory.generatePublic(keySpec); return key.getEncoded(); } public static ECPrivateKey decodePKCS8ECPrivateKey(byte[] encoded) throws InvalidKeySpecException { KeyFactory keyFactory = getKeyFactory(); PKCS8EncodedKeySpec keySpec = new PKCS8EncodedKeySpec(encoded); try { return (ECPrivateKey) keyFactory.generatePrivate(keySpec); } finally { SharedSecrets.getJavaSecuritySpecAccess().clearEncodedKeySpec(keySpec); } } public static ECPrivateKey generateECPrivateKey(BigInteger s, ECParameterSpec params) throws InvalidKeySpecException { KeyFactory keyFactory = getKeyFactory(); ECPrivateKeySpec keySpec = new ECPrivateKeySpec(s, params); return (ECPrivateKey)keyFactory.generatePrivate(keySpec); } public static AlgorithmParameters getECParameters() { try { return AlgorithmParameters.getInstance("EC"); } catch (NoSuchAlgorithmException nsae) { throw new RuntimeException(nsae); } } public static byte[] encodeECParameterSpec(ECParameterSpec spec) { AlgorithmParameters parameters = getECParameters(); try { parameters.init(spec); } catch (InvalidParameterSpecException ipse) { throw new RuntimeException("Not a known named curve: " + spec); } try { return parameters.getEncoded(); } catch (IOException ioe) { // it is a bug if this should happen throw new RuntimeException(ioe); } } public static ECParameterSpec getECParameterSpec(ECParameterSpec spec) { AlgorithmParameters parameters = getECParameters(); try { parameters.init(spec); return parameters.getParameterSpec(ECParameterSpec.class); } catch (InvalidParameterSpecException ipse) { return null; } } public static ECParameterSpec getECParameterSpec(byte[] params) throws IOException { AlgorithmParameters parameters = getECParameters(); parameters.init(params); try { return parameters.getParameterSpec(ECParameterSpec.class); } catch (InvalidParameterSpecException ipse) { return null; } } public static ECParameterSpec getECParameterSpec(String name) { AlgorithmParameters parameters = getECParameters(); try { parameters.init(new ECGenParameterSpec(name)); return parameters.getParameterSpec(ECParameterSpec.class); } catch (InvalidParameterSpecException ipse) { return null; } } public static ECParameterSpec getECParameterSpec(int keySize) { AlgorithmParameters parameters = getECParameters(); try { parameters.init(new ECKeySizeParameterSpec(keySize)); return parameters.getParameterSpec(ECParameterSpec.class); } catch (InvalidParameterSpecException ipse) { return null; } } public static String getCurveName(ECParameterSpec spec) { ECGenParameterSpec nameSpec; AlgorithmParameters parameters = getECParameters(); try { parameters.init(spec); nameSpec = parameters.getParameterSpec(ECGenParameterSpec.class); } catch (InvalidParameterSpecException ipse) { return null; } if (nameSpec == null) { return null; } return nameSpec.getName(); } public static boolean equals(ECParameterSpec spec1, ECParameterSpec spec2) { if (spec1 == spec2) { return true; } if (spec1 == null || spec2 == null) { return false; } return (spec1.getCofactor() == spec2.getCofactor() && spec1.getOrder().equals(spec2.getOrder()) && spec1.getCurve().equals(spec2.getCurve()) && spec1.getGenerator().equals(spec2.getGenerator())); } // Convert the concatenation R and S in into their DER encoding public static byte[] encodeSignature(byte[] signature) throws SignatureException { try { int n = signature.length >> 1; byte[] bytes = new byte[n]; System.arraycopy(signature, 0, bytes, 0, n); BigInteger r = new BigInteger(1, bytes); System.arraycopy(signature, n, bytes, 0, n); BigInteger s = new BigInteger(1, bytes); DerOutputStream out = new DerOutputStream(signature.length + 10); out.putInteger(r); out.putInteger(s); DerValue result = new DerValue(DerValue.tag_Sequence, out.toByteArray()); return result.toByteArray(); } catch (Exception e) { throw new SignatureException("Could not encode signature", e); } } // Convert the DER encoding of R and S into a concatenation of R and S public static byte[] decodeSignature(byte[] sig) throws SignatureException { try { // Enforce strict DER checking for signatures DerInputStream in = new DerInputStream(sig, 0, sig.length, false); DerValue[] values = in.getSequence(2); // check number of components in the read sequence // and trailing data if ((values.length != 2) || (in.available() != 0)) { throw new IOException("Invalid encoding for signature"); } BigInteger r = values[0].getPositiveBigInteger(); BigInteger s = values[1].getPositiveBigInteger(); // trim leading zeroes byte[] rBytes = trimZeroes(r.toByteArray()); byte[] sBytes = trimZeroes(s.toByteArray()); int k = Math.max(rBytes.length, sBytes.length); // r and s each occupy half the array byte[] result = new byte[k << 1]; System.arraycopy(rBytes, 0, result, k - rBytes.length, rBytes.length); System.arraycopy(sBytes, 0, result, result.length - sBytes.length, sBytes.length); return result; } catch (Exception e) { throw new SignatureException("Invalid encoding for signature", e); } } /** * Check an ECPrivateKey to make sure the scalar value is within the * range of the order [1, n-1]. * * @param prv the private key to be checked. * * @return the private key that was evaluated. * * @throws InvalidKeyException if the key's scalar value is not within * the range 1 <= x < n where n is the order of the generator. */ public static ECPrivateKey checkPrivateKey(ECPrivateKey prv) throws InvalidKeyException { // The private key itself cannot be null, but if the private // key doesn't divulge the parameters or more importantly the S value // (possibly because it lives on a provider that prevents release // of those values, e.g. HSM), then we cannot perform the check and // will allow the operation to proceed. Objects.requireNonNull(prv, "Private key must be non-null"); ECParameterSpec spec = prv.getParams(); if (spec != null) { BigInteger order = spec.getOrder(); BigInteger sVal = prv.getS(); if (order != null && sVal != null) { if (sVal.compareTo(BigInteger.ZERO) <= 0 || sVal.compareTo(order) >= 0) { throw new InvalidKeyException("The private key must be " + "within the range [1, n - 1]"); } } } return prv; } // Partial Public key validation as described in NIST SP 800-186 Appendix D.1.1.1. // The extra step in the full validation (described in Appendix D.1.1.2) is implemented // as sun.security.ec.ECOperations#checkOrder inside the jdk.crypto.ec module. public static void validatePublicKey(ECPoint point, ECParameterSpec spec) throws InvalidKeyException { BigInteger p; if (spec.getCurve().getField() instanceof ECFieldFp f) { p = f.getP(); } else { throw new InvalidKeyException("Only curves over prime fields are supported"); } // 1. If Q is the point at infinity, output REJECT if (point.equals(ECPoint.POINT_INFINITY)) { throw new InvalidKeyException("Public point is at infinity"); } // 2. Verify that x and y are integers in the interval [0, p-1]. Output REJECT if verification fails. BigInteger x = point.getAffineX(); if (x.signum() < 0 || x.compareTo(p) >= 0) { throw new InvalidKeyException("Public point x is not in the interval [0, p-1]"); } BigInteger y = point.getAffineY(); if (y.signum() < 0 || y.compareTo(p) >= 0) { throw new InvalidKeyException("Public point y is not in the interval [0, p-1]"); } // 3. Verify that (x, y) is a point on the W_a,b by checking that (x, y) satisfies the defining // equation y^2 = x^3 + a x + b where computations are carried out in GF(p). Output REJECT // if verification fails. BigInteger left = y.modPow(BigInteger.TWO, p); BigInteger right = x.pow(3).add(spec.getCurve().getA().multiply(x)).add(spec.getCurve().getB()).mod(p); if (!left.equals(right)) { throw new InvalidKeyException("Public point is not on the curve"); } } private ECUtil() {} }