diff --git a/sm2/sm2_keyexchange.go b/sm2/sm2_keyexchange.go
index e000d55..c0af2a5 100644
--- a/sm2/sm2_keyexchange.go
+++ b/sm2/sm2_keyexchange.go
@@ -23,9 +23,9 @@ type KeyExchange struct {
 	genSignature bool             // control the optional sign/verify step triggered by responsder
 	keyLength    int              // key length
 	privateKey   *PrivateKey      // owner's encryption private key
-	uid          []byte           // owner uid
-	peerUID      []byte           // peer uid
+	z            []byte           // owner identifiable id
 	peerPub      *ecdsa.PublicKey // peer public key
+	peerZ        []byte           // peer identifiable id
 	r            *big.Int         // random which will be used to compute secret
 	secret       Point            // generated secret which will be passed to peer
 	peerSecret   Point            // received peer's secret
@@ -41,14 +41,12 @@ func (ke *KeyExchange) GetKey() []byte {
 }
 
 // NewKeyExchange create one new KeyExchange object
-func NewKeyExchange(priv *PrivateKey, peerPub *ecdsa.PublicKey, uid, peerUID []byte, keyLen int, genSignature bool) *KeyExchange {
-	ke := &KeyExchange{}
+func NewKeyExchange(priv *PrivateKey, peerPub *ecdsa.PublicKey, uid, peerUID []byte, keyLen int, genSignature bool) (ke *KeyExchange, err error) {
+	ke = &KeyExchange{}
 	ke.genSignature = genSignature
 	ke.peerPub = peerPub
 	ke.keyLength = keyLen
 	ke.privateKey = priv
-	ke.uid = uid
-	ke.peerUID = peerUID
 	w := (priv.Params().N.BitLen()+1)/2 - 1
 	x2 := big.NewInt(2)
 	ke.w2 = x2
@@ -56,7 +54,15 @@ func NewKeyExchange(priv *PrivateKey, peerPub *ecdsa.PublicKey, uid, peerUID []b
 	x2minus1 := (&big.Int{}).Sub(x2, big.NewInt(1))
 	ke.w2Minus1 = x2minus1
 
-	return ke
+	ke.z, err = calculateZA(&ke.privateKey.PublicKey, uid)
+	if err != nil {
+		return nil, err
+	}
+	ke.peerZ, err = calculateZA(ke.peerPub, peerUID)
+	if err != nil {
+		return nil, err
+	}
+	return
 }
 
 func initKeyExchange(ke *KeyExchange, r *big.Int) {
@@ -74,10 +80,52 @@ func (ke *KeyExchange) InitKeyExchange(rand io.Reader) (*Point, error) {
 	return &ke.secret, nil
 }
 
+func (ke *KeyExchange) sign(isResponder bool, prefix byte) []byte {
+	var buffer []byte
+	hash := sm3.New()
+	hash.Write(toBytes(ke.privateKey, ke.v.X))
+	if isResponder {
+		hash.Write(ke.peerZ)
+		hash.Write(ke.z)
+		hash.Write(toBytes(ke.privateKey, ke.peerSecret.X))
+		hash.Write(toBytes(ke.privateKey, ke.peerSecret.Y))
+		hash.Write(toBytes(ke.privateKey, ke.secret.X))
+		hash.Write(toBytes(ke.privateKey, ke.secret.Y))
+	} else {
+		hash.Write(ke.z)
+		hash.Write(ke.peerZ)
+		hash.Write(toBytes(ke.privateKey, ke.secret.X))
+		hash.Write(toBytes(ke.privateKey, ke.secret.Y))
+		hash.Write(toBytes(ke.privateKey, ke.peerSecret.X))
+		hash.Write(toBytes(ke.privateKey, ke.peerSecret.Y))
+	}
+	buffer = hash.Sum(nil)
+	hash.Reset()
+	hash.Write([]byte{prefix})
+	hash.Write(toBytes(ke.privateKey, ke.v.Y))
+	hash.Write(buffer)
+	return hash.Sum(nil)
+}
+
+func (ke *KeyExchange) generateKey(isResponder bool) {
+	var buffer []byte
+	buffer = append(buffer, toBytes(ke.privateKey, ke.v.X)...)
+	buffer = append(buffer, toBytes(ke.privateKey, ke.v.Y)...)
+	if isResponder {
+		buffer = append(buffer, ke.peerZ...)
+		buffer = append(buffer, ke.z...)
+	} else {
+		buffer = append(buffer, ke.z...)
+		buffer = append(buffer, ke.peerZ...)
+	}
+	key, _ := sm3.Kdf(buffer, ke.keyLength)
+	ke.key = key
+}
+
 func respondKeyExchange(ke *KeyExchange, r *big.Int, rA *Point) (*Point, []byte, error) {
 	ke.secret.X, ke.secret.Y = ke.privateKey.ScalarBaseMult(r.Bytes())
 	ke.r = r
-
+	// Calculate tB
 	t := (&big.Int{}).And(ke.w2Minus1, ke.secret.X)
 	t.Add(ke.w2, t)
 	t.Mul(t, ke.r)
@@ -94,42 +142,13 @@ func respondKeyExchange(ke *KeyExchange, r *big.Int, rA *Point) (*Point, []byte,
 		return nil, nil, errors.New("sm2: key exchange fail")
 	}
 
-	var buffer []byte
-	zA, err := calculateZA(ke.peerPub, ke.peerUID)
-	if err != nil {
-		return nil, nil, err
-	}
-	zB, err := calculateZA(&ke.privateKey.PublicKey, ke.uid)
-	if err != nil {
-		return nil, nil, err
-	}
-	buffer = append(buffer, toBytes(ke.privateKey, ke.v.X)...)
-	buffer = append(buffer, toBytes(ke.privateKey, ke.v.Y)...)
-	buffer = append(buffer, zA...)
-	buffer = append(buffer, zB...)
-	key, _ := sm3.Kdf(buffer, ke.keyLength)
-	ke.key = key
+	ke.generateKey(true)
 
 	if !ke.genSignature {
 		return &ke.secret, nil, nil
 	}
 
-	hash := sm3.New()
-	hash.Write(toBytes(ke.privateKey, ke.v.X))
-	hash.Write(zA)
-	hash.Write(zB)
-	hash.Write(toBytes(ke.privateKey, ke.peerSecret.X))
-	hash.Write(toBytes(ke.privateKey, ke.peerSecret.Y))
-	hash.Write(toBytes(ke.privateKey, ke.secret.X))
-	hash.Write(toBytes(ke.privateKey, ke.secret.Y))
-	buffer = hash.Sum(nil)
-	hash.Reset()
-	hash.Write([]byte{0x02})
-	hash.Write(toBytes(ke.privateKey, ke.v.Y))
-	hash.Write(buffer)
-	buffer = hash.Sum(nil)
-
-	return &ke.secret, buffer, nil
+	return &ke.secret, ke.sign(true, 0x02), nil
 }
 
 // RepondKeyExchange when responder receive rA, for responder's step B1-B8
@@ -150,10 +169,8 @@ func (ke *KeyExchange) ConfirmResponder(rB *Point, sB []byte) ([]byte, error) {
 	if !ke.privateKey.IsOnCurve(rB.X, rB.Y) {
 		return nil, errors.New("sm2: received invalid random from responder")
 	}
-	hash := sm3.New()
-
 	ke.peerSecret = *rB
-
+	// Calcualte tA
 	t := (&big.Int{}).And(ke.w2Minus1, ke.secret.X)
 	t.Add(ke.w2, t)
 	t.Mul(t, ke.r)
@@ -170,84 +187,19 @@ func (ke *KeyExchange) ConfirmResponder(rB *Point, sB []byte) ([]byte, error) {
 	if ke.v.X.Sign() == 0 && ke.v.Y.Sign() == 0 {
 		return nil, errors.New("sm2: key exchange fail")
 	}
-
-	var buffer []byte
-	zA, err := calculateZA(&ke.privateKey.PublicKey, ke.uid)
-	if err != nil {
-		return nil, err
-	}
-	zB, err := calculateZA(ke.peerPub, ke.peerUID)
-	if err != nil {
-		return nil, err
-	}
-	buffer = append(buffer, toBytes(ke.privateKey, ke.v.X)...)
-	buffer = append(buffer, toBytes(ke.privateKey, ke.v.Y)...)
-	buffer = append(buffer, zA...)
-	buffer = append(buffer, zB...)
-	key, _ := sm3.Kdf(buffer, ke.keyLength)
-	ke.key = key
-
+	ke.generateKey(false)
 	if len(sB) > 0 {
-		hash.Write(toBytes(ke.privateKey, ke.v.X))
-		hash.Write(zA)
-		hash.Write(zB)
-		hash.Write(toBytes(ke.privateKey, ke.secret.X))
-		hash.Write(toBytes(ke.privateKey, ke.secret.Y))
-		hash.Write(toBytes(ke.privateKey, ke.peerSecret.X))
-		hash.Write(toBytes(ke.privateKey, ke.peerSecret.Y))
-		buffer = hash.Sum(nil)
-		hash.Reset()
-		hash.Write([]byte{0x02})
-		hash.Write(toBytes(ke.privateKey, ke.v.Y))
-		hash.Write(buffer)
-		buffer = hash.Sum(nil)
-		hash.Reset()
+		buffer := ke.sign(false, 0x02)
 		if goSubtle.ConstantTimeCompare(buffer, sB) != 1 {
 			return nil, errors.New("sm2: verify responder's signature fail")
 		}
 	}
-	hash.Write(toBytes(ke.privateKey, ke.v.X))
-	hash.Write(zA)
-	hash.Write(zB)
-	hash.Write(toBytes(ke.privateKey, ke.secret.X))
-	hash.Write(toBytes(ke.privateKey, ke.secret.Y))
-	hash.Write(toBytes(ke.privateKey, ke.peerSecret.X))
-	hash.Write(toBytes(ke.privateKey, ke.peerSecret.Y))
-	buffer = hash.Sum(nil)
-	hash.Reset()
-	hash.Write([]byte{0x03})
-	hash.Write(toBytes(ke.privateKey, ke.v.Y))
-	hash.Write(buffer)
-	buffer = hash.Sum(nil)
-
-	return buffer, nil
+	return ke.sign(false, 0x03), nil
 }
 
 // ConfirmInitiator for responder's step B10
 func (ke *KeyExchange) ConfirmInitiator(s1 []byte) error {
-	hash := sm3.New()
-	var buffer []byte
-	zB, err := calculateZA(&ke.privateKey.PublicKey, ke.uid)
-	if err != nil {
-		return err
-	}
-	zA, err := calculateZA(ke.peerPub, ke.peerUID)
-	if err != nil {
-		return err
-	}
-	hash.Write(toBytes(ke.privateKey, ke.v.X))
-	hash.Write(zA)
-	hash.Write(zB)
-	hash.Write(toBytes(ke.privateKey, ke.peerSecret.X))
-	hash.Write(toBytes(ke.privateKey, ke.peerSecret.Y))
-	hash.Write(toBytes(ke.privateKey, ke.secret.X))
-	hash.Write(toBytes(ke.privateKey, ke.secret.Y))
-	buffer = hash.Sum(nil)
-	hash.Reset()
-	hash.Write([]byte{0x03})
-	hash.Write(toBytes(ke.privateKey, ke.v.Y))
-	hash.Write(buffer)
-	buffer = hash.Sum(nil)
+	buffer := ke.sign(true, 0x03)
 	if goSubtle.ConstantTimeCompare(buffer, s1) != 1 {
 		return errors.New("sm2: verify initiator's signature fail")
 	}
diff --git a/sm9/sm9.go b/sm9/sm9.go
index 8b4add7..e3f03b7 100644
--- a/sm9/sm9.go
+++ b/sm9/sm9.go
@@ -547,6 +547,51 @@ func (ke *KeyExchange) InitKeyExchange(rand io.Reader, hid byte) (*bn256.G1, err
 	return ke.secret, nil
 }
 
+func (ke *KeyExchange) sign(isResponder bool, prefix byte) []byte {
+	var buffer []byte
+	hash := sm3.New()
+	hash.Write(ke.g2.Marshal())
+	hash.Write(ke.g3.Marshal())
+	if isResponder {
+		hash.Write(ke.peerUID)
+		hash.Write(ke.uid)
+		hash.Write(ke.peerSecret.Marshal())
+		hash.Write(ke.secret.Marshal())
+	} else {
+		hash.Write(ke.uid)
+		hash.Write(ke.peerUID)
+		hash.Write(ke.secret.Marshal())
+		hash.Write(ke.peerSecret.Marshal())
+	}
+	buffer = hash.Sum(nil)
+	hash.Reset()
+	hash.Write([]byte{prefix})
+	hash.Write(ke.g1.Marshal())
+	hash.Write(buffer)
+	return hash.Sum(nil)
+}
+
+func (ke *KeyExchange) generateKey(isResponder bool) {
+	var buffer []byte
+	if isResponder {
+		buffer = append(buffer, ke.peerUID...)
+		buffer = append(buffer, ke.uid...)
+		buffer = append(buffer, ke.peerSecret.Marshal()...)
+		buffer = append(buffer, ke.secret.Marshal()...)
+	} else {
+		buffer = append(buffer, ke.uid...)
+		buffer = append(buffer, ke.peerUID...)
+		buffer = append(buffer, ke.secret.Marshal()...)
+		buffer = append(buffer, ke.peerSecret.Marshal()...)
+	}
+	buffer = append(buffer, ke.g1.Marshal()...)
+	buffer = append(buffer, ke.g2.Marshal()...)
+	buffer = append(buffer, ke.g3.Marshal()...)
+
+	key, _ := sm3.Kdf(buffer, ke.keyLength)
+	ke.key = key
+}
+
 func respondKeyExchange(ke *KeyExchange, hid byte, r *big.Int, rA *bn256.G1) (*bn256.G1, []byte, error) {
 	if !rA.IsOnCurve() {
 		return nil, nil, errors.New("sm9: received invalid random from initiator")
@@ -562,36 +607,13 @@ func respondKeyExchange(ke *KeyExchange, hid byte, r *big.Int, rA *bn256.G1) (*b
 	ke.g3.ScalarMult(ke.g1, r)
 	ke.g2 = ke.privateKey.EncryptMasterPublicKey.ScalarBaseMult(r)
 
-	var buffer []byte
-	buffer = append(buffer, ke.peerUID...)
-	buffer = append(buffer, ke.uid...)
-	buffer = append(buffer, ke.peerSecret.Marshal()...)
-	buffer = append(buffer, ke.secret.Marshal()...)
-	buffer = append(buffer, ke.g1.Marshal()...)
-	buffer = append(buffer, ke.g2.Marshal()...)
-	buffer = append(buffer, ke.g3.Marshal()...)
-
-	key, _ := sm3.Kdf(buffer, ke.keyLength)
-	ke.key = key
+	ke.generateKey(true)
 
 	if !ke.genSignature {
 		return ke.secret, nil, nil
 	}
 
-	hash := sm3.New()
-	hash.Write(ke.g2.Marshal())
-	hash.Write(ke.g3.Marshal())
-	hash.Write(ke.peerUID)
-	hash.Write(ke.uid)
-	hash.Write(ke.peerSecret.Marshal())
-	hash.Write(ke.secret.Marshal())
-	buffer = hash.Sum(nil)
-	hash.Reset()
-	hash.Write([]byte{0x82})
-	hash.Write(ke.g1.Marshal())
-	hash.Write(buffer)
-	buffer = hash.Sum(nil)
-	return ke.secret, buffer, nil
+	return ke.secret, ke.sign(true, 0x82), nil
 }
 
 // RepondKeyExchange when responder receive rA, for responder's step B1-B7
@@ -608,7 +630,6 @@ func (ke *KeyExchange) ConfirmResponder(rB *bn256.G1, sB []byte) ([]byte, error)
 	if !rB.IsOnCurve() {
 		return nil, errors.New("sm9: received invalid random from responder")
 	}
-	hash := sm3.New()
 	// step 5
 	ke.peerSecret = rB
 	ke.g1 = ke.privateKey.EncryptMasterPublicKey.ScalarBaseMult(ke.r)
@@ -616,60 +637,20 @@ func (ke *KeyExchange) ConfirmResponder(rB *bn256.G1, sB []byte) ([]byte, error)
 	ke.g3 = &bn256.GT{}
 	ke.g3.ScalarMult(ke.g2, ke.r)
 	// step 6, verify signature
-	var temp []byte
-	var buffer []byte
 	if len(sB) > 0 {
-		hash.Write(ke.g2.Marshal())
-		hash.Write(ke.g3.Marshal())
-		hash.Write(ke.uid)
-		hash.Write(ke.peerUID)
-		hash.Write(ke.secret.Marshal())
-		hash.Write(ke.peerSecret.Marshal())
-		temp = hash.Sum(nil)
-		hash.Reset()
-		hash.Write([]byte{0x82})
-		hash.Write(ke.g1.Marshal())
-		hash.Write(temp)
-		signature := hash.Sum(nil)
-		hash.Reset()
+		signature := ke.sign(false, 0x82)
 		if goSubtle.ConstantTimeCompare(signature, sB) != 1 {
 			return nil, errors.New("sm9: verify responder's signature fail")
 		}
 	}
-	buffer = append(buffer, ke.uid...)
-	buffer = append(buffer, ke.peerUID...)
-	buffer = append(buffer, ke.secret.Marshal()...)
-	buffer = append(buffer, ke.peerSecret.Marshal()...)
-	buffer = append(buffer, ke.g1.Marshal()...)
-	buffer = append(buffer, ke.g2.Marshal()...)
-	buffer = append(buffer, ke.g3.Marshal()...)
+	ke.generateKey(false)
 
-	key, _ := sm3.Kdf(buffer, ke.keyLength)
-	ke.key = key
-
-	hash.Write([]byte{0x83})
-	hash.Write(ke.g1.Marshal())
-	hash.Write(temp)
-
-	return hash.Sum(nil), nil
+	return ke.sign(false, 0x83), nil
 }
 
 // ConfirmInitiator for responder's step B8
 func (ke *KeyExchange) ConfirmInitiator(s1 []byte) error {
-	hash := sm3.New()
-	var buffer []byte
-	hash.Write(ke.g2.Marshal())
-	hash.Write(ke.g3.Marshal())
-	hash.Write(ke.peerUID)
-	hash.Write(ke.uid)
-	hash.Write(ke.peerSecret.Marshal())
-	hash.Write(ke.secret.Marshal())
-	buffer = hash.Sum(nil)
-	hash.Reset()
-	hash.Write([]byte{0x83})
-	hash.Write(ke.g1.Marshal())
-	hash.Write(buffer)
-	buffer = hash.Sum(nil)
+	buffer := ke.sign(true, 0x83)
 	if goSubtle.ConstantTimeCompare(buffer, s1) != 1 {
 		return errors.New("sm9: verify initiator's signature fail")
 	}