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158 lines
4.3 KiB
158 lines
4.3 KiB
4 years ago
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// Copyright 2017 The Go Authors. All rights reserved.
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// Use of this source code is governed by a BSD-style
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// license that can be found in the LICENSE file.
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// Package ecdh implements ECDH encryption, suitable for OpenPGP,
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// as specified in RFC 6637, section 8.
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package ecdh
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import (
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"errors"
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"io"
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"math/big"
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"github.com/ProtonMail/go-crypto/openpgp/aes/keywrap"
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"github.com/ProtonMail/go-crypto/openpgp/internal/ecc"
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"golang.org/x/crypto/curve25519"
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)
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// Generates a private-public key-pair.
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// 'priv' is a private key; a scalar belonging to the set
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// 2^{254} + 8 * [0, 2^{251}), in order to avoid the small subgroup of the
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// curve. 'pub' is simply 'priv' * G where G is the base point.
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// See https://cr.yp.to/ecdh.html and RFC7748, sec 5.
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func x25519GenerateKeyPairBytes(rand io.Reader) (priv [32]byte, pub [32]byte, err error) {
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var n, helper = new(big.Int), new(big.Int)
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n.SetUint64(1)
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n.Lsh(n, 252)
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helper.SetString("27742317777372353535851937790883648493", 10)
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n.Add(n, helper)
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for true {
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_, err = io.ReadFull(rand, priv[:])
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if err != nil {
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return
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}
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// The following ensures that the private key is a number of the form
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// 2^{254} + 8 * [0, 2^{251}), in order to avoid the small subgroup of
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// of the curve.
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priv[0] &= 248
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priv[31] &= 127
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priv[31] |= 64
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// If the scalar is out of range, sample another random number.
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if new(big.Int).SetBytes(priv[:]).Cmp(n) >= 0 {
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continue
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}
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curve25519.ScalarBaseMult(&pub, &priv)
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return
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}
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return
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}
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// X25519GenerateKey samples the key pair according to the correct distribution.
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// It also sets the given key-derivation function and returns the *PrivateKey
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// object along with an error.
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func X25519GenerateKey(rand io.Reader, kdf KDF) (priv *PrivateKey, err error) {
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ci := ecc.FindByName("Curve25519")
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priv = new(PrivateKey)
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priv.PublicKey.Curve = ci.Curve
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d, pubKey, err := x25519GenerateKeyPairBytes(rand)
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if err != nil {
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return nil, err
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}
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priv.PublicKey.KDF = kdf
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priv.D = make([]byte, 32)
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copyReversed(priv.D, d[:])
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priv.PublicKey.CurveType = ci.CurveType
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priv.PublicKey.Curve = ci.Curve
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/*
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* Note that ECPoint.point differs from the definition of public keys in
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* [Curve25519] in two ways: (1) the byte-ordering is big-endian, which is
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* more uniform with how big integers are represented in TLS, and (2) there
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* is an additional length byte (so ECpoint.point is actually 33 bytes),
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* again for uniformity (and extensibility).
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*/
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var encodedKey = make([]byte, 33)
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encodedKey[0] = 0x40
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copy(encodedKey[1:], pubKey[:])
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priv.PublicKey.X = new(big.Int).SetBytes(encodedKey[:])
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priv.PublicKey.Y = new(big.Int)
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return priv, nil
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}
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func X25519Encrypt(random io.Reader, pub *PublicKey, msg, curveOID, fingerprint []byte) (vsG, c []byte, err error) {
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d, ephemeralKey, err := x25519GenerateKeyPairBytes(random)
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if err != nil {
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return nil, nil, err
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}
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var pubKey [32]byte
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if pub.X.BitLen() > 33*264 {
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return nil, nil, errors.New("ecdh: invalid key")
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}
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copy(pubKey[:], pub.X.Bytes()[1:])
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var zb [32]byte
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curve25519.ScalarBaseMult(&zb, &d)
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curve25519.ScalarMult(&zb, &d, &pubKey)
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z, err := buildKey(pub, zb[:], curveOID, fingerprint, false, false)
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if err != nil {
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return nil, nil, err
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}
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if c, err = keywrap.Wrap(z, msg); err != nil {
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return nil, nil, err
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}
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var vsg [33]byte
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vsg[0] = 0x40
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copy(vsg[1:], ephemeralKey[:])
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return vsg[:], c, nil
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}
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func X25519Decrypt(priv *PrivateKey, vsG, m, curveOID, fingerprint []byte) (msg []byte, err error) {
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var zb, d, ephemeralKey [32]byte
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if len(vsG) != 33 || vsG[0] != 0x40 {
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return nil, errors.New("ecdh: invalid key")
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}
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copy(ephemeralKey[:], vsG[1:33])
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copyReversed(d[:], priv.D)
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curve25519.ScalarBaseMult(&zb, &d)
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curve25519.ScalarMult(&zb, &d, &ephemeralKey)
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var c []byte
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for i := 0; i < 3; i++ {
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// Try buildKey three times for compat, see comments in buildKey.
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z, err := buildKey(&priv.PublicKey, zb[:], curveOID, fingerprint, i == 1, i == 2)
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if err != nil {
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return nil, err
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}
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res, err := keywrap.Unwrap(z, m)
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if i == 2 && err != nil {
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// Only return an error after we've tried all variants of buildKey.
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return nil, err
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}
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c = res
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if err == nil {
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break
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}
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}
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return c[:len(c)-int(c[len(c)-1])], nil
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}
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func copyReversed(out []byte, in []byte) {
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l := len(in)
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for i := 0; i < l; i++ {
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out[i] = in[l-i-1]
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}
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}
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