diff --git a/cryptography/bindings/openssl/api.py b/cryptography/bindings/openssl/api.py
index ba6fbb8..2467996 100644
--- a/cryptography/bindings/openssl/api.py
+++ b/cryptography/bindings/openssl/api.py
@@ -60,8 +60,8 @@
 
     def create_block_cipher_context(self, cipher, mode):
         ctx = self._ffi.new("EVP_CIPHER_CTX *")
-        # TODO: compute real cipher
-        ciphername = b"AES-{}-CBC".format(len(cipher.key) * 8)
+        # TODO: compute name using a better algorithm
+        ciphername = b"{}-{}-{}".format(cipher.name, len(cipher.key) * 8, mode.name)
         evp_cipher = self._lib.EVP_get_cipherbyname(ciphername)
         if evp_cipher == self._ffi.NULL:
             raise OpenSSLError(self)
diff --git a/cryptography/primitives/block/ciphers.py b/cryptography/primitives/block/ciphers.py
index e4e570d..87dfa73 100644
--- a/cryptography/primitives/block/ciphers.py
+++ b/cryptography/primitives/block/ciphers.py
@@ -1,4 +1,6 @@
 class AES(object):
+    name = "AES"
+
     def __init__(self, key):
         super(AES, self).__init__()
         self.key = key
diff --git a/cryptography/primitives/block/modes.py b/cryptography/primitives/block/modes.py
index d336ed3..08d411f 100644
--- a/cryptography/primitives/block/modes.py
+++ b/cryptography/primitives/block/modes.py
@@ -1,4 +1,6 @@
 class CBC(object):
+    name = "CBC"
+
     def __init__(self, initialization_vector, padding):
         super(CBC, self).__init__()
         self.initialization_vector = initialization_vector