mirror of
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301 lines
9.5 KiB
Go
301 lines
9.5 KiB
Go
package sm2
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import (
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"crypto/ecdsa"
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"crypto/subtle"
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"errors"
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"io"
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"math/big"
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"github.com/emmansun/gmsm/sm3"
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)
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// This file contains a math/big implementation of SM2 key exchange which is deprecated, please use ecdh instead.
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// KeyExchange key exchange struct, include internal stat in whole key exchange flow.
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// Initiator's flow will be: NewKeyExchange -> InitKeyExchange -> transmission -> ConfirmResponder
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// Responder's flow will be: NewKeyExchange -> waiting ... -> RepondKeyExchange -> transmission -> ConfirmInitiator
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type KeyExchange struct {
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genSignature bool // control the optional sign/verify step triggered by responsder
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keyLength int // key length
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privateKey *PrivateKey // owner's encryption private key
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z []byte // owner identifiable id
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peerPub *ecdsa.PublicKey // peer public key
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peerZ []byte // peer identifiable id
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r *big.Int // Ephemeral Private Key, random which will be used to compute secret
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secret *ecdsa.PublicKey // Ephemeral Public Key, generated secret which will be passed to peer
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peerSecret *ecdsa.PublicKey // received peer's secret, Ephemeral Public Key
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w2 *big.Int // internal state which will be used when compute the key and signature, 2^w
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w2Minus1 *big.Int // internal state which will be used when compute the key and signature, 2^w – 1
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v *ecdsa.PublicKey // internal state which will be used when compute the key and signature, u/v
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}
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func destroyBigInt(n *big.Int) {
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if n != nil {
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n.SetInt64(0)
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}
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}
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func destroyPublicKey(pub *ecdsa.PublicKey) {
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if pub != nil {
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destroyBigInt(pub.X)
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destroyBigInt(pub.Y)
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}
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}
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func destroyBytes(bytes []byte) {
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for v := range bytes {
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bytes[v] = 0
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}
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}
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// Destroy clear all internal state and Ephemeral private/public keys.
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func (ke *KeyExchange) Destroy() {
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destroyBytes(ke.z)
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destroyBytes(ke.peerZ)
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destroyBigInt(ke.r)
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destroyPublicKey(ke.v)
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}
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// NewKeyExchange create one new KeyExchange object
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//
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// 在部分场景中，在初始 KeyExchange 时暂时没有对端的公开信息（如公钥、UID），这些信息可能需要在后续的交换中得到。
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// 这种情况下，可设置 peerPub、peerUID 参数为 nil，并在合适的时候通过 KeyExchange.SetPeerParameters 方法配置相关参数。
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// 注意 KeyExchange.SetPeerParameters 方法必须要在 KeyExchange.RepondKeyExchange 或 KeyExchange.RepondKeyExchange 方法之前调用。
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func NewKeyExchange(priv *PrivateKey, peerPub *ecdsa.PublicKey, uid, peerUID []byte, keyLen int, genSignature bool) (ke *KeyExchange, err error) {
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ke = &KeyExchange{}
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ke.genSignature = genSignature
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ke.keyLength = keyLen
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ke.privateKey = priv
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one := big.NewInt(1)
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/* compute w = [log2(n)/2 - 1] = 127 */
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w := (priv.Params().N.BitLen()+1)/2 - 1
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/* w2 = 2^w = 0x80000000000000000000000000000000 */
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ke.w2 = (&big.Int{}).Lsh(one, uint(w))
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/* x2minus1 = 2^w - 1 = 0x7fffffffffffffffffffffffffffffff */
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ke.w2Minus1 = (&big.Int{}).Sub(ke.w2, one)
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if len(uid) == 0 {
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uid = defaultUID
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}
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ke.z, err = CalculateZA(&ke.privateKey.PublicKey, uid)
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if err != nil {
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return nil, err
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}
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err = ke.SetPeerParameters(peerPub, peerUID)
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if err != nil {
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return nil, err
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}
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ke.secret = &ecdsa.PublicKey{}
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ke.secret.Curve = priv.PublicKey.Curve
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ke.v = &ecdsa.PublicKey{}
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ke.v.Curve = priv.PublicKey.Curve
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return
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}
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// SetPeerParameters 设置对端公开信息，该方法用于某些初期状态无法取得对端公开参数的场景。
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// 例如：在TLCP协议中，基于SM2算法ECDHE过程。
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//
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// 注意该方法仅在 NewKeyExchange 没有提供 peerPub、peerUID参数时允许被调用，
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// 且该方法只能调用一次不可重复调用，若多次调用或peerPub、peerUID已经存在则会发生错误。
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func (ke *KeyExchange) SetPeerParameters(peerPub *ecdsa.PublicKey, peerUID []byte) error {
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if peerPub == nil {
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return nil
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}
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if len(peerUID) == 0 {
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peerUID = defaultUID
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}
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if ke.peerPub != nil {
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return errors.New("sm2: 'peerPub' already exists, please do not set it")
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}
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if peerPub.Curve != ke.privateKey.Curve {
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return errors.New("sm2: peer public key is not expected/supported")
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}
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var err error
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ke.peerPub = peerPub
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ke.peerZ, err = CalculateZA(ke.peerPub, peerUID)
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if err != nil {
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return err
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}
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ke.peerSecret = &ecdsa.PublicKey{}
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ke.peerSecret.Curve = peerPub.Curve
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return nil
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}
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func initKeyExchange(ke *KeyExchange, r *big.Int) {
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ke.secret.X, ke.secret.Y = ke.privateKey.ScalarBaseMult(r.Bytes())
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ke.r = r
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}
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// InitKeyExchange is for initiator's step A1-A3, returns generated Ephemeral Public Key which will be passed to Reponder.
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func (ke *KeyExchange) InitKeyExchange(rand io.Reader) (*ecdsa.PublicKey, error) {
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r, err := randFieldElement(ke.privateKey, rand)
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if err != nil {
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return nil, err
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}
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initKeyExchange(ke, r)
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return ke.secret, nil
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}
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func (ke *KeyExchange) sign(isResponder bool, prefix byte) []byte {
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var buffer []byte
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hash := sm3.New()
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hash.Write(toBytes(ke.privateKey, ke.v.X))
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if isResponder {
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hash.Write(ke.peerZ)
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hash.Write(ke.z)
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hash.Write(toBytes(ke.privateKey, ke.peerSecret.X))
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hash.Write(toBytes(ke.privateKey, ke.peerSecret.Y))
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hash.Write(toBytes(ke.privateKey, ke.secret.X))
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hash.Write(toBytes(ke.privateKey, ke.secret.Y))
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} else {
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hash.Write(ke.z)
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hash.Write(ke.peerZ)
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hash.Write(toBytes(ke.privateKey, ke.secret.X))
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hash.Write(toBytes(ke.privateKey, ke.secret.Y))
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hash.Write(toBytes(ke.privateKey, ke.peerSecret.X))
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hash.Write(toBytes(ke.privateKey, ke.peerSecret.Y))
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}
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buffer = hash.Sum(nil)
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hash.Reset()
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hash.Write([]byte{prefix})
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hash.Write(toBytes(ke.privateKey, ke.v.Y))
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hash.Write(buffer)
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return hash.Sum(nil)
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}
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func (ke *KeyExchange) generateSharedKey(isResponder bool) ([]byte, error) {
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var buffer []byte
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buffer = append(buffer, toBytes(ke.privateKey, ke.v.X)...)
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buffer = append(buffer, toBytes(ke.privateKey, ke.v.Y)...)
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if isResponder {
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buffer = append(buffer, ke.peerZ...)
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buffer = append(buffer, ke.z...)
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} else {
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buffer = append(buffer, ke.z...)
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buffer = append(buffer, ke.peerZ...)
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}
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return sm3.Kdf(buffer, ke.keyLength), nil
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}
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// avf is the associative value function.
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func (ke *KeyExchange) avf(x *big.Int) *big.Int {
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t := (&big.Int{}).And(ke.w2Minus1, x)
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t.Add(ke.w2, t)
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return t
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}
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// mqv implements SM2-MQV procedure
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func (ke *KeyExchange) mqv() {
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// implicitSig: (sPriv + avf(ePub) * ePriv) mod N
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// Calculate x2`
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t := ke.avf(ke.secret.X)
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// Calculate tB
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t.Mul(t, ke.r)
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t.Add(t, ke.privateKey.D)
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t.Mod(t, ke.privateKey.Params().N)
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// new base point: peerPub + [x1](peerSecret)
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// x1` = 2^w + (x & (2^w – 1))
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x1 := ke.avf(ke.peerSecret.X)
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// Point(x, y) = peerPub + [x1](peerSecret)
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x, y := ke.privateKey.ScalarMult(ke.peerSecret.X, ke.peerSecret.Y, x1.Bytes())
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x, y = ke.privateKey.Add(ke.peerPub.X, ke.peerPub.Y, x, y)
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ke.v.X, ke.v.Y = ke.privateKey.ScalarMult(x, y, t.Bytes())
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}
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func respondKeyExchange(ke *KeyExchange, rA *ecdsa.PublicKey, r *big.Int) (*ecdsa.PublicKey, []byte, error) {
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if ke.peerPub == nil {
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return nil, nil, errors.New("sm2: no peer public key given")
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}
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if !ke.privateKey.IsOnCurve(rA.X, rA.Y) {
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return nil, nil, errors.New("sm2: invalid initiator's ephemeral public key")
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}
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ke.peerSecret = rA
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// secret = RB = [r]G
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ke.secret.X, ke.secret.Y = ke.privateKey.ScalarBaseMult(r.Bytes())
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ke.r = r
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ke.mqv()
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if ke.v.X.Sign() == 0 && ke.v.Y.Sign() == 0 {
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return nil, nil, errors.New("sm2: key exchange failed, V is infinity point")
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}
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if !ke.genSignature {
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return ke.secret, nil, nil
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}
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return ke.secret, ke.sign(true, 0x02), nil
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}
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// RepondKeyExchange is for responder's step B1-B8, returns generated Ephemeral Public Key and optional signature
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// depends on KeyExchange.genSignature value.
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//
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// It will check if there are peer's public key and validate the peer's Ephemeral Public Key.
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func (ke *KeyExchange) RepondKeyExchange(rand io.Reader, rA *ecdsa.PublicKey) (*ecdsa.PublicKey, []byte, error) {
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r, err := randFieldElement(ke.privateKey, rand)
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if err != nil {
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return nil, nil, err
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}
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return respondKeyExchange(ke, rA, r)
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}
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// ConfirmResponder for initiator's step A4-A10, returns keying data and optional signature.
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//
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// It will check if there are peer's public key and validate the peer's Ephemeral Public Key.
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//
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// If the peer's signature is not empty, then it will also validate the peer's
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// signature and return generated signature depends on KeyExchange.genSignature value.
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func (ke *KeyExchange) ConfirmResponder(rB *ecdsa.PublicKey, sB []byte) ([]byte, []byte, error) {
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if ke.peerPub == nil {
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return nil, nil, errors.New("sm2: no peer public key given")
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}
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if !ke.privateKey.IsOnCurve(rB.X, rB.Y) {
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return nil, nil, errors.New("sm2: invalid responder's ephemeral public key")
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}
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ke.peerSecret = rB
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ke.mqv()
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if ke.v.X.Sign() == 0 && ke.v.Y.Sign() == 0 {
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return nil, nil, errors.New("sm2: key exchange failed, U is infinity point")
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}
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if len(sB) > 0 {
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buffer := ke.sign(false, 0x02)
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if subtle.ConstantTimeCompare(buffer, sB) != 1 {
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return nil, nil, errors.New("sm2: invalid responder's signature")
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}
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}
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key, err := ke.generateSharedKey(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 !ke.genSignature {
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return key, nil, nil
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}
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return key, ke.sign(false, 0x03), nil
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}
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// ConfirmInitiator for responder's step B10
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func (ke *KeyExchange) ConfirmInitiator(s1 []byte) ([]byte, error) {
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if s1 != nil {
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buffer := ke.sign(true, 0x03)
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if subtle.ConstantTimeCompare(buffer, s1) != 1 {
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return nil, errors.New("sm2: invalid initiator's signature")
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}
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}
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return ke.generateSharedKey(true)
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}
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