diff --git a/rsa.go b/rsa.go
index 33b26cc..f30c6c9 100644
--- a/rsa.go
+++ b/rsa.go
@@ -4,25 +4,47 @@ import (
 	"crypto"
 	"crypto/rand"
 	"crypto/rsa"
-	"crypto/sha256"
 	"crypto/x509"
 	"encoding/pem"
 	"errors"
 )
 
-type SigningMethodRS256 struct{}
+type SigningMethodRSA struct {
+	Name string
+	Hash crypto.Hash
+}
+
+var (
+	SigningMethodRS256 *SigningMethodRSA
+	SigningMethodRS384 *SigningMethodRSA
+	SigningMethodRS512 *SigningMethodRSA
+)
 
 func init() {
-	RegisterSigningMethod("RS256", func() SigningMethod {
-		return new(SigningMethodRS256)
+	// RS256
+	SigningMethodRS256 = &SigningMethodRSA{"RS256", crypto.SHA256}
+	RegisterSigningMethod(SigningMethodRS256.Alg(), func() SigningMethod {
+		return SigningMethodRS256
+	})
+
+	// RS384
+	SigningMethodRS384 = &SigningMethodRSA{"RS384", crypto.SHA384}
+	RegisterSigningMethod(SigningMethodRS384.Alg(), func() SigningMethod {
+		return SigningMethodRS384
+	})
+
+	// RS512
+	SigningMethodRS512 = &SigningMethodRSA{"RS512", crypto.SHA512}
+	RegisterSigningMethod(SigningMethodRS512.Alg(), func() SigningMethod {
+		return SigningMethodRS512
 	})
 }
 
-func (m *SigningMethodRS256) Alg() string {
-	return "RS256"
+func (m *SigningMethodRSA) Alg() string {
+	return m.Name
 }
 
-func (m *SigningMethodRS256) Verify(signingString, signature string, key []byte) error {
+func (m *SigningMethodRSA) Verify(signingString, signature string, key []byte) error {
 	var err error
 
 	// Decode the signature
@@ -38,30 +60,30 @@ func (m *SigningMethodRS256) Verify(signingString, signature string, key []byte)
 	}
 
 	// Create hasher
-	hasher := sha256.New()
+	hasher := m.Hash.New()
 	hasher.Write([]byte(signingString))
 
 	// Verify the signature
-	return rsa.VerifyPKCS1v15(rsaKey, crypto.SHA256, hasher.Sum(nil), sig)
+	return rsa.VerifyPKCS1v15(rsaKey, m.Hash, hasher.Sum(nil), sig)
 }
 
 // Implements the Sign method from SigningMethod
 // For this signing method, must be PEM encoded PKCS1 or PKCS8 RSA private key
-func (m *SigningMethodRS256) Sign(signingString string, key []byte) (string, error) {
+func (m *SigningMethodRSA) Sign(signingString string, key []byte) (string, error) {
 	var err error
 
-	// Key
+	// Parse private key
 	var rsaKey *rsa.PrivateKey
 	if rsaKey, err = m.parsePrivateKey(key); err != nil {
 		return "", err
 	}
 
 	// Create the hasher
-	hasher := sha256.New()
+	hasher := m.Hash.New()
 	hasher.Write([]byte(signingString))
 
 	// Sign the string and return the encoded bytes
-	if sigBytes, err := rsa.SignPKCS1v15(rand.Reader, rsaKey, crypto.SHA256, hasher.Sum(nil)); err == nil {
+	if sigBytes, err := rsa.SignPKCS1v15(rand.Reader, rsaKey, m.Hash, hasher.Sum(nil)); err == nil {
 		return EncodeSegment(sigBytes), nil
 	} else {
 		return "", err
@@ -70,7 +92,7 @@ func (m *SigningMethodRS256) Sign(signingString string, key []byte) (string, err
 }
 
 // Parse PEM encoded PKCS1 or PKCS8 public key
-func (m *SigningMethodRS256) parsePublicKey(key []byte) (*rsa.PublicKey, error) {
+func (m *SigningMethodRSA) parsePublicKey(key []byte) (*rsa.PublicKey, error) {
 	var err error
 
 	// Parse PEM block
@@ -99,7 +121,7 @@ func (m *SigningMethodRS256) parsePublicKey(key []byte) (*rsa.PublicKey, error)
 }
 
 // Parse PEM encoded PKCS1 or PKCS8 private key
-func (m *SigningMethodRS256) parsePrivateKey(key []byte) (*rsa.PrivateKey, error) {
+func (m *SigningMethodRSA) parsePrivateKey(key []byte) (*rsa.PrivateKey, error) {
 	var err error
 
 	// Parse PEM block
diff --git a/rsa_test.go b/rsa_test.go
index c71c98f..158dcb9 100644
--- a/rsa_test.go
+++ b/rsa_test.go
@@ -14,12 +14,26 @@ var rsaTestData = []struct {
 	valid       bool
 }{
 	{
-		"basic: foo => bar",
+		"Basic RS256",
 		"eyJ0eXAiOiJKV1QiLCJhbGciOiJSUzI1NiJ9.eyJmb28iOiJiYXIifQ.FhkiHkoESI_cG3NPigFrxEk9Z60_oXrOT2vGm9Pn6RDgYNovYORQmmA0zs1AoAOf09ly2Nx2YAg6ABqAYga1AcMFkJljwxTT5fYphTuqpWdy4BELeSYJx5Ty2gmr8e7RonuUztrdD5WfPqLKMm1Ozp_T6zALpRmwTIW0QPnaBXaQD90FplAg46Iy1UlDKr-Eupy0i5SLch5Q-p2ZpaL_5fnTIUDlxC3pWhJTyx_71qDI-mAA_5lE_VdroOeflG56sSmDxopPEG3bFlSu1eowyBfxtu0_CuVd-M42RU75Zc4Gsj6uV77MBtbMrf4_7M_NUTSgoIF3fRqxrj0NzihIBg",
 		"RS256",
 		map[string]interface{}{"foo": "bar"},
 		true,
 	},
+	{
+		"Basic RS384",
+		"eyJhbGciOiJSUzM4NCIsInR5cCI6IkpXVCJ9.eyJmb28iOiJiYXIifQ.W-jEzRfBigtCWsinvVVuldiuilzVdU5ty0MvpLaSaqK9PlAWWlDQ1VIQ_qSKzwL5IXaZkvZFJXT3yL3n7OUVu7zCNJzdwznbC8Z-b0z2lYvcklJYi2VOFRcGbJtXUqgjk2oGsiqUMUMOLP70TTefkpsgqDxbRh9CDUfpOJgW-dU7cmgaoswe3wjUAUi6B6G2YEaiuXC0XScQYSYVKIzgKXJV8Zw-7AN_DBUI4GkTpsvQ9fVVjZM9csQiEXhYekyrKu1nu_POpQonGd8yqkIyXPECNmmqH5jH4sFiF67XhD7_JpkvLziBpI-uh86evBUadmHhb9Otqw3uV3NTaXLzJw",
+		"RS384",
+		map[string]interface{}{"foo": "bar"},
+		true,
+	},
+	{
+		"Basic RS512",
+		"eyJhbGciOiJSUzUxMiIsInR5cCI6IkpXVCJ9.eyJmb28iOiJiYXIifQ.zBlLlmRrUxx4SJPUbV37Q1joRcI9EW13grnKduK3wtYKmDXbgDpF1cZ6B-2Jsm5RB8REmMiLpGms-EjXhgnyh2TSHE-9W2gA_jvshegLWtwRVDX40ODSkTb7OVuaWgiy9y7llvcknFBTIg-FnVPVpXMmeV_pvwQyhaz1SSwSPrDyxEmksz1hq7YONXhXPpGaNbMMeDTNP_1oj8DZaqTIL9TwV8_1wb2Odt_Fy58Ke2RVFijsOLdnyEAjt2n9Mxihu9i3PhNBkkxa2GbnXBfq3kzvZ_xxGGopLdHhJjcGWXO-NiwI9_tiu14NRv4L2xC0ItD9Yz68v2ZIZEp_DuzwRQ",
+		"RS512",
+		map[string]interface{}{"foo": "bar"},
+		true,
+	},
 	{
 		"basic invalid: foo => bar",
 		"eyJ0eXAiOiJKV1QiLCJhbGciOiJSUzI1NiJ9.eyJmb28iOiJiYXIifQ.EhkiHkoESI_cG3NPigFrxEk9Z60_oXrOT2vGm9Pn6RDgYNovYORQmmA0zs1AoAOf09ly2Nx2YAg6ABqAYga1AcMFkJljwxTT5fYphTuqpWdy4BELeSYJx5Ty2gmr8e7RonuUztrdD5WfPqLKMm1Ozp_T6zALpRmwTIW0QPnaBXaQD90FplAg46Iy1UlDKr-Eupy0i5SLch5Q-p2ZpaL_5fnTIUDlxC3pWhJTyx_71qDI-mAA_5lE_VdroOeflG56sSmDxopPEG3bFlSu1eowyBfxtu0_CuVd-M42RU75Zc4Gsj6uV77MBtbMrf4_7M_NUTSgoIF3fRqxrj0NzihIBg",
@@ -68,7 +82,7 @@ func TestRSAKeyParsing(t *testing.T) {
 	key, _ := ioutil.ReadFile("test/sample_key")
 	pubKey, _ := ioutil.ReadFile("test/sample_key.pub")
 	badKey := []byte("All your base are belong to key")
-	method := GetSigningMethod("RS256").(*SigningMethodRS256)
+	method := GetSigningMethod("RS256").(*SigningMethodRSA)
 
 	if _, e := method.parsePrivateKey(key); e != nil {
 		t.Errorf("Failed to parse valid private key: %v", e)