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diff --git a/lib/Crypto/SelfTest/Hash/test_SHA3_256.py b/lib/Crypto/SelfTest/Hash/test_SHA3_256.py
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+++ b/lib/Crypto/SelfTest/Hash/test_SHA3_256.py
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+# -*- coding: utf-8 -*-
+#
+# SelfTest/Hash/test_SHA3_256.py: Self-test for the SHA-3/256 hash function
+#
+# ===================================================================
+# The contents of this file are dedicated to the public domain.  To
+# the extent that dedication to the public domain is not available,
+# everyone is granted a worldwide, perpetual, royalty-free,
+# non-exclusive license to exercise all rights associated with the
+# contents of this file for any purpose whatsoever.
+# No rights are reserved.
+#
+# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
+# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
+# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
+# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
+# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
+# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
+# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
+# SOFTWARE.
+# ===================================================================
+
+"""Self-test suite for Crypto.Hash.SHA3_256"""
+
+import unittest
+from binascii import hexlify
+
+from Crypto.SelfTest.loader import load_test_vectors
+from Crypto.SelfTest.st_common import list_test_cases
+from Crypto.Hash import SHA3_256 as SHA3
+from Crypto.Util.py3compat import b
+
+
+class APITest(unittest.TestCase):
+
+    def test_update_after_digest(self):
+        msg=b("rrrrttt")
+
+        # Normally, update() cannot be done after digest()
+        h = SHA3.new(data=msg[:4])
+        dig1 = h.digest()
+        self.assertRaises(TypeError, h.update, msg[4:])
+        dig2 = SHA3.new(data=msg).digest()
+
+        # With the proper flag, it is allowed
+        h = SHA3.new(data=msg[:4], update_after_digest=True)
+        self.assertEqual(h.digest(), dig1)
+        # ... and the subsequent digest applies to the entire message
+        # up to that point
+        h.update(msg[4:])
+        self.assertEqual(h.digest(), dig2)
+
+
+def get_tests(config={}):
+    from .common import make_hash_tests
+
+    tests = []
+
+    test_vectors = load_test_vectors(("Hash", "SHA3"),
+                                "ShortMsgKAT_SHA3-256.txt",
+                                "KAT SHA-3 256",
+                                { "len" : lambda x: int(x) } ) or []
+
+    test_data = []
+    for tv in test_vectors:
+        if tv.len == 0:
+            tv.msg = b("")
+        test_data.append((hexlify(tv.md), tv.msg, tv.desc))
+
+
+    tests += make_hash_tests(SHA3, "SHA3_256", test_data,
+                             digest_size=SHA3.digest_size,
+                             oid="2.16.840.1.101.3.4.2.8")
+    tests += list_test_cases(APITest)
+    return tests
+
+if __name__ == '__main__':
+    import unittest
+    suite = lambda: unittest.TestSuite(get_tests())
+    unittest.main(defaultTest='suite')