diff --git a/Lib/test/nokia.pem b/Lib/test/nokia.pem
new file mode 100644
index 0000000..0d044df
--- /dev/null
+++ b/Lib/test/nokia.pem
@@ -0,0 +1,31 @@
+# Certificate for projects.developer.nokia.com:443 (see issue 13034)
+-----BEGIN CERTIFICATE-----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+-----END CERTIFICATE-----
diff --git a/Lib/test/test_ssl.py b/Lib/test/test_ssl.py
index 869381a..a79fce6 100644
--- a/Lib/test/test_ssl.py
+++ b/Lib/test/test_ssl.py
@@ -51,6 +51,7 @@
 BADCERT = data_file("badcert.pem")
 WRONGCERT = data_file("XXXnonexisting.pem")
 BADKEY = data_file("badkey.pem")
+NOKIACERT = data_file("nokia.pem")
 
 
 def handle_error(prefix):
@@ -117,6 +118,31 @@
         p = ssl._ssl._test_decode_cert(CERTFILE)
         if support.verbose:
             sys.stdout.write("\n" + pprint.pformat(p) + "\n")
+        self.assertEqual(p['issuer'],
+                         ((('countryName', 'XY'),),
+                          (('localityName', 'Castle Anthrax'),),
+                          (('organizationName', 'Python Software Foundation'),),
+                          (('commonName', 'localhost'),))
+                        )
+        self.assertEqual(p['notAfter'], 'Oct  5 23:01:56 2020 GMT')
+        self.assertEqual(p['notBefore'], 'Oct  8 23:01:56 2010 GMT')
+        self.assertEqual(p['serialNumber'], 'D7C7381919AFC24E')
+        self.assertEqual(p['subject'],
+                         ((('countryName', 'XY'),),
+                          (('localityName', 'Castle Anthrax'),),
+                          (('organizationName', 'Python Software Foundation'),),
+                          (('commonName', 'localhost'),))
+                        )
+        self.assertEqual(p['subjectAltName'], (('DNS', 'localhost'),))
+        # Issue #13034: the subjectAltName in some certificates
+        # (notably projects.developer.nokia.com:443) wasn't parsed
+        p = ssl._ssl._test_decode_cert(NOKIACERT)
+        if support.verbose:
+            sys.stdout.write("\n" + pprint.pformat(p) + "\n")
+        self.assertEqual(p['subjectAltName'],
+                         (('DNS', 'projects.developer.nokia.com'),
+                          ('DNS', 'projects.forum.nokia.com'))
+                        )
 
     def test_DER_to_PEM(self):
         with open(SVN_PYTHON_ORG_ROOT_CERT, 'r') as f: