diff --git a/bfd/ChangeLog b/bfd/ChangeLog
index fe08c0280c..fc63219268 100644
--- a/bfd/ChangeLog
+++ b/bfd/ChangeLog
@@ -1,3 +1,9 @@
+2016-03-09  Alan Modra  <amodra@gmail.com>
+
+	PR binutils/19775
+	* coff-alpha.c (alpha_ecoff_openr_next_archived_file): Allow zero
+	length elements in the archive.
+
 2016-03-08  H.J. Lu  <hongjiu.lu@intel.com>
 
 	PR ld/19789
diff --git a/bfd/coff-alpha.c b/bfd/coff-alpha.c
index f69f22b371..70388f7db0 100644
--- a/bfd/coff-alpha.c
+++ b/bfd/coff-alpha.c
@@ -2208,7 +2208,7 @@ alpha_ecoff_openr_next_archived_file (bfd *archive, bfd *last_file)
 	 BSD-4.4-style element with a long odd size.  */
       filestart = last_file->proxy_origin + size;
       filestart += filestart % 2;
-      if (filestart <= last_file->proxy_origin)
+      if (filestart < last_file->proxy_origin)
 	{
 	  /* Prevent looping.  See PR19256.  */
 	  bfd_set_error (bfd_error_malformed_archive);