diff --git a/ChangeLog.md b/ChangeLog.md
--- a/ChangeLog.md
+++ b/ChangeLog.md
@@ -1,3 +1,7 @@
+## 1.7
+
+* Add support for following new SignMethod `HMACSHA256`, `HMACSHA512`, `RSASHA256`, `RSASHA512`
+
 ## 1.6
 
 * Add checkOAuth
diff --git a/Web/Authenticate/OAuth.hs b/Web/Authenticate/OAuth.hs
--- a/Web/Authenticate/OAuth.hs
+++ b/Web/Authenticate/OAuth.hs
@@ -65,7 +65,7 @@
 #else
 import Data.Data
 #endif
-import Codec.Crypto.RSA (rsassa_pkcs1_v1_5_sign, hashSHA1)
+import Codec.Crypto.RSA (rsassa_pkcs1_v1_5_sign, hashSHA1, hashSHA256, hashSHA512)
 
 
 ----------------------------------------------------------------------
@@ -133,7 +133,11 @@
 -- | Data type for signature method.
 data SignMethod = PLAINTEXT
                 | HMACSHA1
+                | HMACSHA256
+                | HMACSHA512
                 | RSASHA1 PrivateKey
+                | RSASHA256 PrivateKey
+                | RSASHA512 PrivateKey
                   deriving (Show, Eq, Read, Data, Typeable)
 
 
@@ -290,10 +294,22 @@
       text <- getBaseString tok req
       let key  = BS.intercalate "&" $ map paramEncode [oauthConsumerSecret oa, tokenSecret tok]
       return $ encode $ toStrict $ bytestringDigest $ hmacSha1 (fromStrict key) text
+    HMACSHA256 -> do
+      text <- getBaseString tok req
+      let key  = BS.intercalate "&" $ map paramEncode [oauthConsumerSecret oa, tokenSecret tok]
+      return $ encode $ toStrict $ bytestringDigest $ hmacSha256 (fromStrict key) text
+    HMACSHA512 -> do
+      text <- getBaseString tok req
+      let key  = BS.intercalate "&" $ map paramEncode [oauthConsumerSecret oa, tokenSecret tok]
+      return $ encode $ toStrict $ bytestringDigest $ hmacSha512 (fromStrict key) text
     PLAINTEXT ->
       return $ BS.intercalate "&" $ map paramEncode [oauthConsumerSecret oa, tokenSecret tok]
     RSASHA1 pr ->
       liftM (encode . toStrict . rsassa_pkcs1_v1_5_sign hashSHA1 pr) (getBaseString tok req)
+    RSASHA256 pr ->
+      liftM (encode . toStrict . rsassa_pkcs1_v1_5_sign hashSHA256 pr) (getBaseString tok req)
+    RSASHA512 pr ->
+      liftM (encode . toStrict . rsassa_pkcs1_v1_5_sign hashSHA512 pr) (getBaseString tok req)
 
 -- | Test existing OAuth signature.
 --   Since 1.5.2
@@ -513,7 +529,11 @@
 showSigMtd :: SignMethod -> BS.ByteString
 showSigMtd PLAINTEXT = "PLAINTEXT"
 showSigMtd HMACSHA1  = "HMAC-SHA1"
+showSigMtd HMACSHA256  = "HMAC-SHA256"
+showSigMtd HMACSHA512  = "HMAC-SHA512"
 showSigMtd (RSASHA1 _) = "RSA-SHA1"
+showSigMtd (RSASHA256 _) = "RSA-SHA256"
+showSigMtd (RSASHA512 _) = "RSA-SHA512"
 
 addNonce :: MonadIO m => Credential -> m Credential
 addNonce cred = do
diff --git a/authenticate-oauth.cabal b/authenticate-oauth.cabal
--- a/authenticate-oauth.cabal
+++ b/authenticate-oauth.cabal
@@ -1,5 +1,6 @@
+cabal-version:   >= 1.10
 name:            authenticate-oauth
-version:         1.6.0.1
+version:         1.7
 license:         BSD3
 license-file:    LICENSE
 author:          Hiromi Ishii
@@ -8,13 +9,13 @@
 description:     API docs and the README are available at <http://www.stackage.org/package/authenticate-oauth>.
 category:        Web
 stability:       Stable
-cabal-version:   >= 1.6
 build-type:      Simple
 homepage:        http://github.com/yesodweb/authenticate
 extra-source-files: README.md ChangeLog.md
 
 library
-    build-depends:   base                          >= 4        && < 5
+    default-language: Haskell2010
+    build-depends:   base                          >= 4.10     && < 5
                    , http-client                   >= 0.3
                    , transformers                  >= 0.1      && < 0.6
                    , bytestring                    >= 0.9
@@ -22,7 +23,7 @@
                    , RSA                           >= 2.0      && < 2.5
                    , time
                    , data-default
-                   , base64-bytestring             >= 0.1      && < 1.1
+                   , base64-bytestring             >= 0.1      && < 1.3
                    , SHA                           >= 1.4      && < 1.7
                    , random
                    , http-types                    >= 0.6