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// Copyright 2013 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
package ssh
import ( "crypto" "crypto/ecdsa" "crypto/elliptic" "crypto/rand" "crypto/subtle" "errors" "io" "math/big"
"golang.org/x/crypto/curve25519" )
const ( kexAlgoDH1SHA1 = "diffie-hellman-group1-sha1" kexAlgoDH14SHA1 = "diffie-hellman-group14-sha1" kexAlgoECDH256 = "ecdh-sha2-nistp256" kexAlgoECDH384 = "ecdh-sha2-nistp384" kexAlgoECDH521 = "ecdh-sha2-nistp521" kexAlgoCurve25519SHA256 = "curve25519-sha256@libssh.org" )
// kexResult captures the outcome of a key exchange.
type kexResult struct { // Session hash. See also RFC 4253, section 8.
H []byte
// Shared secret. See also RFC 4253, section 8.
K []byte
// Host key as hashed into H.
HostKey []byte
// Signature of H.
Signature []byte
// A cryptographic hash function that matches the security
// level of the key exchange algorithm. It is used for
// calculating H, and for deriving keys from H and K.
Hash crypto.Hash
// The session ID, which is the first H computed. This is used
// to derive key material inside the transport.
SessionID []byte }
// handshakeMagics contains data that is always included in the
// session hash.
type handshakeMagics struct { clientVersion, serverVersion []byte clientKexInit, serverKexInit []byte }
func (m *handshakeMagics) write(w io.Writer) { writeString(w, m.clientVersion) writeString(w, m.serverVersion) writeString(w, m.clientKexInit) writeString(w, m.serverKexInit) }
// kexAlgorithm abstracts different key exchange algorithms.
type kexAlgorithm interface { // Server runs server-side key agreement, signing the result
// with a hostkey.
Server(p packetConn, rand io.Reader, magics *handshakeMagics, s Signer) (*kexResult, error)
// Client runs the client-side key agreement. Caller is
// responsible for verifying the host key signature.
Client(p packetConn, rand io.Reader, magics *handshakeMagics) (*kexResult, error) }
// dhGroup is a multiplicative group suitable for implementing Diffie-Hellman key agreement.
type dhGroup struct { g, p, pMinus1 *big.Int }
func (group *dhGroup) diffieHellman(theirPublic, myPrivate *big.Int) (*big.Int, error) { if theirPublic.Cmp(bigOne) <= 0 || theirPublic.Cmp(group.pMinus1) >= 0 { return nil, errors.New("ssh: DH parameter out of bounds") } return new(big.Int).Exp(theirPublic, myPrivate, group.p), nil }
func (group *dhGroup) Client(c packetConn, randSource io.Reader, magics *handshakeMagics) (*kexResult, error) { hashFunc := crypto.SHA1
var x *big.Int for { var err error if x, err = rand.Int(randSource, group.pMinus1); err != nil { return nil, err } if x.Sign() > 0 { break } }
X := new(big.Int).Exp(group.g, x, group.p) kexDHInit := kexDHInitMsg{ X: X, } if err := c.writePacket(Marshal(&kexDHInit)); err != nil { return nil, err }
packet, err := c.readPacket() if err != nil { return nil, err }
var kexDHReply kexDHReplyMsg if err = Unmarshal(packet, &kexDHReply); err != nil { return nil, err }
ki, err := group.diffieHellman(kexDHReply.Y, x) if err != nil { return nil, err }
h := hashFunc.New() magics.write(h) writeString(h, kexDHReply.HostKey) writeInt(h, X) writeInt(h, kexDHReply.Y) K := make([]byte, intLength(ki)) marshalInt(K, ki) h.Write(K)
return &kexResult{ H: h.Sum(nil), K: K, HostKey: kexDHReply.HostKey, Signature: kexDHReply.Signature, Hash: crypto.SHA1, }, nil }
func (group *dhGroup) Server(c packetConn, randSource io.Reader, magics *handshakeMagics, priv Signer) (result *kexResult, err error) { hashFunc := crypto.SHA1 packet, err := c.readPacket() if err != nil { return } var kexDHInit kexDHInitMsg if err = Unmarshal(packet, &kexDHInit); err != nil { return }
var y *big.Int for { if y, err = rand.Int(randSource, group.pMinus1); err != nil { return } if y.Sign() > 0 { break } }
Y := new(big.Int).Exp(group.g, y, group.p) ki, err := group.diffieHellman(kexDHInit.X, y) if err != nil { return nil, err }
hostKeyBytes := priv.PublicKey().Marshal()
h := hashFunc.New() magics.write(h) writeString(h, hostKeyBytes) writeInt(h, kexDHInit.X) writeInt(h, Y)
K := make([]byte, intLength(ki)) marshalInt(K, ki) h.Write(K)
H := h.Sum(nil)
// H is already a hash, but the hostkey signing will apply its
// own key-specific hash algorithm.
sig, err := signAndMarshal(priv, randSource, H) if err != nil { return nil, err }
kexDHReply := kexDHReplyMsg{ HostKey: hostKeyBytes, Y: Y, Signature: sig, } packet = Marshal(&kexDHReply)
err = c.writePacket(packet) return &kexResult{ H: H, K: K, HostKey: hostKeyBytes, Signature: sig, Hash: crypto.SHA1, }, nil }
// ecdh performs Elliptic Curve Diffie-Hellman key exchange as
// described in RFC 5656, section 4.
type ecdh struct { curve elliptic.Curve }
func (kex *ecdh) Client(c packetConn, rand io.Reader, magics *handshakeMagics) (*kexResult, error) { ephKey, err := ecdsa.GenerateKey(kex.curve, rand) if err != nil { return nil, err }
kexInit := kexECDHInitMsg{ ClientPubKey: elliptic.Marshal(kex.curve, ephKey.PublicKey.X, ephKey.PublicKey.Y), }
serialized := Marshal(&kexInit) if err := c.writePacket(serialized); err != nil { return nil, err }
packet, err := c.readPacket() if err != nil { return nil, err }
var reply kexECDHReplyMsg if err = Unmarshal(packet, &reply); err != nil { return nil, err }
x, y, err := unmarshalECKey(kex.curve, reply.EphemeralPubKey) if err != nil { return nil, err }
// generate shared secret
secret, _ := kex.curve.ScalarMult(x, y, ephKey.D.Bytes())
h := ecHash(kex.curve).New() magics.write(h) writeString(h, reply.HostKey) writeString(h, kexInit.ClientPubKey) writeString(h, reply.EphemeralPubKey) K := make([]byte, intLength(secret)) marshalInt(K, secret) h.Write(K)
return &kexResult{ H: h.Sum(nil), K: K, HostKey: reply.HostKey, Signature: reply.Signature, Hash: ecHash(kex.curve), }, nil }
// unmarshalECKey parses and checks an EC key.
func unmarshalECKey(curve elliptic.Curve, pubkey []byte) (x, y *big.Int, err error) { x, y = elliptic.Unmarshal(curve, pubkey) if x == nil { return nil, nil, errors.New("ssh: elliptic.Unmarshal failure") } if !validateECPublicKey(curve, x, y) { return nil, nil, errors.New("ssh: public key not on curve") } return x, y, nil }
// validateECPublicKey checks that the point is a valid public key for
// the given curve. See [SEC1], 3.2.2
func validateECPublicKey(curve elliptic.Curve, x, y *big.Int) bool { if x.Sign() == 0 && y.Sign() == 0 { return false }
if x.Cmp(curve.Params().P) >= 0 { return false }
if y.Cmp(curve.Params().P) >= 0 { return false }
if !curve.IsOnCurve(x, y) { return false }
// We don't check if N * PubKey == 0, since
//
// - the NIST curves have cofactor = 1, so this is implicit.
// (We don't foresee an implementation that supports non NIST
// curves)
//
// - for ephemeral keys, we don't need to worry about small
// subgroup attacks.
return true }
func (kex *ecdh) Server(c packetConn, rand io.Reader, magics *handshakeMagics, priv Signer) (result *kexResult, err error) { packet, err := c.readPacket() if err != nil { return nil, err }
var kexECDHInit kexECDHInitMsg if err = Unmarshal(packet, &kexECDHInit); err != nil { return nil, err }
clientX, clientY, err := unmarshalECKey(kex.curve, kexECDHInit.ClientPubKey) if err != nil { return nil, err }
// We could cache this key across multiple users/multiple
// connection attempts, but the benefit is small. OpenSSH
// generates a new key for each incoming connection.
ephKey, err := ecdsa.GenerateKey(kex.curve, rand) if err != nil { return nil, err }
hostKeyBytes := priv.PublicKey().Marshal()
serializedEphKey := elliptic.Marshal(kex.curve, ephKey.PublicKey.X, ephKey.PublicKey.Y)
// generate shared secret
secret, _ := kex.curve.ScalarMult(clientX, clientY, ephKey.D.Bytes())
h := ecHash(kex.curve).New() magics.write(h) writeString(h, hostKeyBytes) writeString(h, kexECDHInit.ClientPubKey) writeString(h, serializedEphKey)
K := make([]byte, intLength(secret)) marshalInt(K, secret) h.Write(K)
H := h.Sum(nil)
// H is already a hash, but the hostkey signing will apply its
// own key-specific hash algorithm.
sig, err := signAndMarshal(priv, rand, H) if err != nil { return nil, err }
reply := kexECDHReplyMsg{ EphemeralPubKey: serializedEphKey, HostKey: hostKeyBytes, Signature: sig, }
serialized := Marshal(&reply) if err := c.writePacket(serialized); err != nil { return nil, err }
return &kexResult{ H: H, K: K, HostKey: reply.HostKey, Signature: sig, Hash: ecHash(kex.curve), }, nil }
var kexAlgoMap = map[string]kexAlgorithm{}
func init() { // This is the group called diffie-hellman-group1-sha1 in RFC
// 4253 and Oakley Group 2 in RFC 2409.
p, _ := new(big.Int).SetString("FFFFFFFFFFFFFFFFC90FDAA22168C234C4C6628B80DC1CD129024E088A67CC74020BBEA63B139B22514A08798E3404DDEF9519B3CD3A431B302B0A6DF25F14374FE1356D6D51C245E485B576625E7EC6F44C42E9A637ED6B0BFF5CB6F406B7EDEE386BFB5A899FA5AE9F24117C4B1FE649286651ECE65381FFFFFFFFFFFFFFFF", 16) kexAlgoMap[kexAlgoDH1SHA1] = &dhGroup{ g: new(big.Int).SetInt64(2), p: p, pMinus1: new(big.Int).Sub(p, bigOne), }
// This is the group called diffie-hellman-group14-sha1 in RFC
// 4253 and Oakley Group 14 in RFC 3526.
p, _ = new(big.Int).SetString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
kexAlgoMap[kexAlgoDH14SHA1] = &dhGroup{ g: new(big.Int).SetInt64(2), p: p, pMinus1: new(big.Int).Sub(p, bigOne), }
kexAlgoMap[kexAlgoECDH521] = &ecdh{elliptic.P521()} kexAlgoMap[kexAlgoECDH384] = &ecdh{elliptic.P384()} kexAlgoMap[kexAlgoECDH256] = &ecdh{elliptic.P256()} kexAlgoMap[kexAlgoCurve25519SHA256] = &curve25519sha256{} }
// curve25519sha256 implements the curve25519-sha256@libssh.org key
// agreement protocol, as described in
// https://git.libssh.org/projects/libssh.git/tree/doc/curve25519-sha256@libssh.org.txt
type curve25519sha256 struct{}
type curve25519KeyPair struct { priv [32]byte pub [32]byte }
func (kp *curve25519KeyPair) generate(rand io.Reader) error { if _, err := io.ReadFull(rand, kp.priv[:]); err != nil { return err } curve25519.ScalarBaseMult(&kp.pub, &kp.priv) return nil }
// curve25519Zeros is just an array of 32 zero bytes so that we have something
// convenient to compare against in order to reject curve25519 points with the
// wrong order.
var curve25519Zeros [32]byte
func (kex *curve25519sha256) Client(c packetConn, rand io.Reader, magics *handshakeMagics) (*kexResult, error) { var kp curve25519KeyPair if err := kp.generate(rand); err != nil { return nil, err } if err := c.writePacket(Marshal(&kexECDHInitMsg{kp.pub[:]})); err != nil { return nil, err }
packet, err := c.readPacket() if err != nil { return nil, err }
var reply kexECDHReplyMsg if err = Unmarshal(packet, &reply); err != nil { return nil, err } if len(reply.EphemeralPubKey) != 32 { return nil, errors.New("ssh: peer's curve25519 public value has wrong length") }
var servPub, secret [32]byte copy(servPub[:], reply.EphemeralPubKey) curve25519.ScalarMult(&secret, &kp.priv, &servPub) if subtle.ConstantTimeCompare(secret[:], curve25519Zeros[:]) == 1 { return nil, errors.New("ssh: peer's curve25519 public value has wrong order") }
h := crypto.SHA256.New() magics.write(h) writeString(h, reply.HostKey) writeString(h, kp.pub[:]) writeString(h, reply.EphemeralPubKey)
ki := new(big.Int).SetBytes(secret[:]) K := make([]byte, intLength(ki)) marshalInt(K, ki) h.Write(K)
return &kexResult{ H: h.Sum(nil), K: K, HostKey: reply.HostKey, Signature: reply.Signature, Hash: crypto.SHA256, }, nil }
func (kex *curve25519sha256) Server(c packetConn, rand io.Reader, magics *handshakeMagics, priv Signer) (result *kexResult, err error) { packet, err := c.readPacket() if err != nil { return } var kexInit kexECDHInitMsg if err = Unmarshal(packet, &kexInit); err != nil { return }
if len(kexInit.ClientPubKey) != 32 { return nil, errors.New("ssh: peer's curve25519 public value has wrong length") }
var kp curve25519KeyPair if err := kp.generate(rand); err != nil { return nil, err }
var clientPub, secret [32]byte copy(clientPub[:], kexInit.ClientPubKey) curve25519.ScalarMult(&secret, &kp.priv, &clientPub) if subtle.ConstantTimeCompare(secret[:], curve25519Zeros[:]) == 1 { return nil, errors.New("ssh: peer's curve25519 public value has wrong order") }
hostKeyBytes := priv.PublicKey().Marshal()
h := crypto.SHA256.New() magics.write(h) writeString(h, hostKeyBytes) writeString(h, kexInit.ClientPubKey) writeString(h, kp.pub[:])
ki := new(big.Int).SetBytes(secret[:]) K := make([]byte, intLength(ki)) marshalInt(K, ki) h.Write(K)
H := h.Sum(nil)
sig, err := signAndMarshal(priv, rand, H) if err != nil { return nil, err }
reply := kexECDHReplyMsg{ EphemeralPubKey: kp.pub[:], HostKey: hostKeyBytes, Signature: sig, } if err := c.writePacket(Marshal(&reply)); err != nil { return nil, err } return &kexResult{ H: H, K: K, HostKey: hostKeyBytes, Signature: sig, Hash: crypto.SHA256, }, nil }
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