diff --git a/blindsecp256k1.go b/blindsecp256k1.go
index add3d78..9b71ef7 100644
--- a/blindsecp256k1.go
+++ b/blindsecp256k1.go
@@ -157,6 +157,7 @@ func Unblind(sBlind, m *big.Int, u *UserSecretData) *Signature {
 	// s = a s' + b
 	as := new(big.Int).Mul(u.A, sBlind)
 	s := new(big.Int).Add(as, u.B)
+	s = new(big.Int).Mod(s, N)
 
 	return &Signature{
 		S: s,
diff --git a/blindsecp256k1_test.go b/blindsecp256k1_test.go
index 6175d36..450184e 100644
--- a/blindsecp256k1_test.go
+++ b/blindsecp256k1_test.go
@@ -25,6 +25,10 @@ func TestFlow(t *testing.T) {
 
 	// user: unblinds the blinded signature
 	sig := Unblind(sBlind, msg, userSecretData)
+	sigB := sig.Bytes()
+	sig2, err := NewSignatureFromBytes(sigB)
+	assert.Nil(t, err)
+	assert.Equal(t, sig, sig2)
 
 	// signature can be verified with signer PublicKey
 	verified := Verify(msg, sig, signerPubK)
diff --git a/parsers_test.go b/parsers_test.go
index e8e1d48..def538c 100644
--- a/parsers_test.go
+++ b/parsers_test.go
@@ -92,6 +92,23 @@ func TestBytes(t *testing.T) {
 	sig2, err := NewSignatureFromBytes(b)
 	assert.Nil(t, err)
 	assert.Equal(t, &sig, sig2)
+
+	// Signature with bigger values
+	s, ok := new(big.Int).SetString("43744879514016998261043792362491545206150700367692876136431010903034023684055", 10) //nolint:lll
+	require.True(t, ok)
+	x, ok := new(big.Int).SetString("56183217574518331862027285308947626162625485037257226169003339923450551228164", 10) //nolint:lll
+	require.True(t, ok)
+	y, ok := new(big.Int).SetString("62825693913681695979055350889339417157462875026935818721506450621762231021976", 10) //nolint:lll
+	require.True(t, ok)
+	sig = Signature{
+		S: s,
+		F: &Point{X: x, Y: y},
+	}
+	b = sig.Bytes()
+	assert.Equal(t, "d7a75050259cc06415f19bde5460a58325e3050806ba949d9ac9728b71b9b6600457ba001981781ed31acafed3d1e82c2ad53d08e3f293eab2f199ed0193367c98311f1894598c91f10fe415ba4a6d04e1351d07430631c7decdbbdb2615e68a", hex.EncodeToString(b)) //nolint:lll
+	sig2, err = NewSignatureFromBytes(b)
+	assert.Nil(t, err)
+	assert.Equal(t, &sig, sig2)
 }
 
 func TestImportECDSApubKey(t *testing.T) {