diff --git a/posix/Makefile b/posix/Makefile
index d5a6844c88..417f2cb4ca 100644
--- a/posix/Makefile
+++ b/posix/Makefile
@@ -93,6 +93,7 @@ tests		:= test-errno tstgetopt testfnm runtests runptests \
 		   bug-getopt5 tst-getopt_long1 bug-regex34 bug-regex35 \
 		   tst-pathconf tst-rxspencer-no-utf8 \
 		   tst-fnmatch3 bug-regex36 \
+		   tst-fnmatch4 tst-fnmatch5 \
 		   tst-posix_spawn-fd tst-posix_spawn-setsid \
 		   tst-posix_fadvise tst-posix_fadvise64 \
 		   tst-sysconf-empty-chroot tst-glob_symlinks tst-fexecve \
@@ -168,7 +169,8 @@ $(objpfx)wordexp-tst.out: wordexp-tst.sh $(objpfx)wordexp-test
 endif
 
 LOCALES := cs_CZ.UTF-8 da_DK.ISO-8859-1 de_DE.ISO-8859-1 de_DE.UTF-8 \
-	   en_US.UTF-8 es_US.ISO-8859-1 es_US.UTF-8 ja_JP.EUC-JP tr_TR.UTF-8
+	   en_US.UTF-8 es_US.ISO-8859-1 es_US.UTF-8 ja_JP.EUC-JP tr_TR.UTF-8 \
+	   cs_CZ.ISO-8859-2
 include ../gen-locales.mk
 
 $(objpfx)bug-regex1.out: $(gen-locales)
diff --git a/posix/fnmatch.c b/posix/fnmatch.c
index a9b762624f..2ef00f1e2f 100644
--- a/posix/fnmatch.c
+++ b/posix/fnmatch.c
@@ -53,7 +53,6 @@
    we support a correct implementation only in glibc.  */
 #ifdef _LIBC
 # include "../locale/localeinfo.h"
-# include "../locale/elem-hash.h"
 # include "../locale/coll-lookup.h"
 # include <shlib-compat.h>
 
diff --git a/posix/fnmatch_loop.c b/posix/fnmatch_loop.c
index e298cac5dc..b25072ac1e 100644
--- a/posix/fnmatch_loop.c
+++ b/posix/fnmatch_loop.c
@@ -494,26 +494,12 @@ FCT (const CHAR *pattern, const CHAR *string, const CHAR *string_end,
 			  {
 			    int32_t table_size;
 			    const int32_t *symb_table;
-# if WIDE_CHAR_VERSION
-			    char str[c1];
-			    unsigned int strcnt;
-# else
-#  define str (startp + 1)
-# endif
 			    const unsigned char *extra;
 			    int32_t idx;
 			    int32_t elem;
-			    int32_t second;
-			    int32_t hash;
-
 # if WIDE_CHAR_VERSION
-			    /* We have to convert the name to a single-byte
-			       string.  This is possible since the names
-			       consist of ASCII characters and the internal
-			       representation is UCS4.  */
-			    for (strcnt = 0; strcnt < c1; ++strcnt)
-			      str[strcnt] = startp[1 + strcnt];
-#endif
+			    int32_t *wextra;
+# endif
 
 			    table_size =
 			      _NL_CURRENT_WORD (LC_COLLATE,
@@ -525,71 +511,55 @@ FCT (const CHAR *pattern, const CHAR *string, const CHAR *string_end,
 			      _NL_CURRENT (LC_COLLATE,
 					   _NL_COLLATE_SYMB_EXTRAMB);
 
-			    /* Locate the character in the hashing table.  */
-			    hash = elem_hash (str, c1);
-
-			    idx = 0;
-			    elem = hash % table_size;
-			    if (symb_table[2 * elem] != 0)
-			      {
-				second = hash % (table_size - 2) + 1;
-
-				do
-				  {
-				    /* First compare the hashing value.  */
-				    if (symb_table[2 * elem] == hash
-					&& (c1
-					    == extra[symb_table[2 * elem + 1]])
-					&& memcmp (str,
-						   &extra[symb_table[2 * elem
-								     + 1]
-							  + 1], c1) == 0)
-				      {
-					/* Yep, this is the entry.  */
-					idx = symb_table[2 * elem + 1];
-					idx += 1 + extra[idx];
-					break;
-				      }
-
-				    /* Next entry.  */
-				    elem += second;
-				  }
-				while (symb_table[2 * elem] != 0);
-			      }
+			    for (elem = 0; elem < table_size; elem++)
+			      if (symb_table[2 * elem] != 0)
+				{
+				  idx = symb_table[2 * elem + 1];
+				  /* Skip the name of collating element.  */
+				  idx += 1 + extra[idx];
+# if WIDE_CHAR_VERSION
+				  /* Skip the byte sequence of the
+				     collating element.  */
+				  idx += 1 + extra[idx];
+				  /* Adjust for the alignment.  */
+				  idx = (idx + 3) & ~3;
+
+				  wextra = (int32_t *) &extra[idx + 4];
+
+				  if (/* Compare the length of the sequence.  */
+				      c1 == wextra[0]
+				      /* Compare the wide char sequence.  */
+				      && memcmp (startp + 1, &wextra[1],
+						 c1 * sizeof (UCHAR)) == 0)
+				    /* Yep, this is the entry.  */
+				    break;
+# else
+				  if (/* Compare the length of the sequence.  */
+				      c1 == extra[idx]
+				      /* Compare the byte sequence.  */
+				      && memcmp (startp + 1,
+						 &extra[idx + 1], c1) == 0)
+				    /* Yep, this is the entry.  */
+				    break;
+# endif
+				}
 
-			    if (symb_table[2 * elem] != 0)
+			    if (elem < table_size)
 			      {
 				/* Compare the byte sequence but only if
 				   this is not part of a range.  */
-# if WIDE_CHAR_VERSION
-				int32_t *wextra;
+				if (! is_range
 
-				idx += 1 + extra[idx];
-				/* Adjust for the alignment.  */
-				idx = (idx + 3) & ~3;
-
-				wextra = (int32_t *) &extra[idx + 4];
-# endif
-
-				if (! is_range)
-				  {
 # if WIDE_CHAR_VERSION
-				    for (c1 = 0;
-					 (int32_t) c1 < wextra[idx];
-					 ++c1)
-				      if (n[c1] != wextra[1 + c1])
-					break;
-
-				    if ((int32_t) c1 == wextra[idx])
-				      goto matched;
+				    && memcmp (n, &wextra[1],
+					       c1 * sizeof (UCHAR)) == 0
 # else
-				    for (c1 = 0; c1 < extra[idx]; ++c1)
-				      if (n[c1] != extra[1 + c1])
-					break;
-
-				    if (c1 == extra[idx])
-				      goto matched;
+				    && memcmp (n, &extra[idx + 1], c1) == 0
 # endif
+				    )
+				  {
+				    n += c1 - 1;
+				    goto matched;
 				  }
 
 				/* Get the collation sequence value.  */
@@ -597,9 +567,9 @@ FCT (const CHAR *pattern, const CHAR *string, const CHAR *string_end,
 # if WIDE_CHAR_VERSION
 				cold = wextra[1 + wextra[idx]];
 # else
-				/* Adjust for the alignment.  */
 				idx += 1 + extra[idx];
-				idx = (idx + 3) & ~4;
+				/* Adjust for the alignment.  */
+				idx = (idx + 3) & ~3;
 				cold = *((int32_t *) &extra[idx]);
 # endif
 
@@ -609,10 +579,10 @@ FCT (const CHAR *pattern, const CHAR *string, const CHAR *string_end,
 			      {
 				/* No valid character.  Match it as a
 				   single byte.  */
-				if (!is_range && *n == str[0])
+				if (!is_range && *n == startp[1])
 				  goto matched;
 
-				cold = str[0];
+				cold = startp[1];
 				c = *p++;
 			      }
 			    else
@@ -620,7 +590,6 @@ FCT (const CHAR *pattern, const CHAR *string, const CHAR *string_end,
 			  }
 		      }
 		    else
-# undef str
 #endif
 		      {
 			c = FOLD (c);
@@ -712,25 +681,11 @@ FCT (const CHAR *pattern, const CHAR *string, const CHAR *string_end,
 			      {
 				int32_t table_size;
 				const int32_t *symb_table;
-# if WIDE_CHAR_VERSION
-				char str[c1];
-				unsigned int strcnt;
-# else
-#  define str (startp + 1)
-# endif
 				const unsigned char *extra;
 				int32_t idx;
 				int32_t elem;
-				int32_t second;
-				int32_t hash;
-
 # if WIDE_CHAR_VERSION
-				/* We have to convert the name to a single-byte
-				   string.  This is possible since the names
-				   consist of ASCII characters and the internal
-				   representation is UCS4.  */
-				for (strcnt = 0; strcnt < c1; ++strcnt)
-				  str[strcnt] = startp[1 + strcnt];
+				int32_t *wextra;
 # endif
 
 				table_size =
@@ -743,71 +698,63 @@ FCT (const CHAR *pattern, const CHAR *string, const CHAR *string_end,
 				  _NL_CURRENT (LC_COLLATE,
 					       _NL_COLLATE_SYMB_EXTRAMB);
 
-				/* Locate the character in the hashing
-				   table.  */
-				hash = elem_hash (str, c1);
-
-				idx = 0;
-				elem = hash % table_size;
-				if (symb_table[2 * elem] != 0)
-				  {
-				    second = hash % (table_size - 2) + 1;
-
-				    do
-				      {
-					/* First compare the hashing value.  */
-					if (symb_table[2 * elem] == hash
-					    && (c1
-						== extra[symb_table[2 * elem + 1]])
-					    && memcmp (str,
-						       &extra[symb_table[2 * elem + 1]
-							      + 1], c1) == 0)
-					  {
-					    /* Yep, this is the entry.  */
-					    idx = symb_table[2 * elem + 1];
-					    idx += 1 + extra[idx];
-					    break;
-					  }
-
-					/* Next entry.  */
-					elem += second;
-				      }
-				    while (symb_table[2 * elem] != 0);
-				  }
-
-				if (symb_table[2 * elem] != 0)
-				  {
-				    /* Compare the byte sequence but only if
-				       this is not part of a range.  */
+				for (elem = 0; elem < table_size; elem++)
+				  if (symb_table[2 * elem] != 0)
+				    {
+				      idx = symb_table[2 * elem + 1];
+				      /* Skip the name of collating
+					 element.  */
+				      idx += 1 + extra[idx];
 # if WIDE_CHAR_VERSION
-				    int32_t *wextra;
-
-				    idx += 1 + extra[idx];
-				    /* Adjust for the alignment.  */
-				    idx = (idx + 3) & ~4;
-
-				    wextra = (int32_t *) &extra[idx + 4];
+				      /* Skip the byte sequence of the
+					 collating element.  */
+				      idx += 1 + extra[idx];
+				      /* Adjust for the alignment.  */
+				      idx = (idx + 3) & ~3;
+
+				      wextra = (int32_t *) &extra[idx + 4];
+
+				      if (/* Compare the length of the
+					     sequence.  */
+					  c1 == wextra[0]
+					  /* Compare the wide char sequence.  */
+					  && memcmp (startp + 1, &wextra[1],
+						     c1 * sizeof (int32_t)) == 0)
+					/* Yep, this is the entry.  */
+					break;
+# else
+				      if (/* Compare the length of the
+					     sequence.  */
+					  c1 == extra[idx]
+					  /* Compare the byte sequence.  */
+					  && memcmp (startp + 1,
+						     &extra[idx + 1], c1) == 0)
+					/* Yep, this is the entry.  */
+					break;
 # endif
+				    }
+
+				if (elem < table_size)
+				  {
 				    /* Get the collation sequence value.  */
 				    is_seqval = 1;
 # if WIDE_CHAR_VERSION
 				    cend = wextra[1 + wextra[idx]];
 # else
-				    /* Adjust for the alignment.  */
 				    idx += 1 + extra[idx];
-				    idx = (idx + 3) & ~4;
+				    /* Adjust for the alignment.  */
+				    idx = (idx + 3) & ~3;
 				    cend = *((int32_t *) &extra[idx]);
 # endif
 				  }
-				else if (symb_table[2 * elem] != 0 && c1 == 1)
+				else if (c1 == 1)
 				  {
-				    cend = str[0];
+				    cend = startp[1];
 				    c = *p++;
 				  }
 				else
 				  return FNM_NOMATCH;
 			      }
-# undef str
 			  }
 			else
 			  {
diff --git a/posix/tst-fnmatch4.c b/posix/tst-fnmatch4.c
new file mode 100644
index 0000000000..9edeeb19db
--- /dev/null
+++ b/posix/tst-fnmatch4.c
@@ -0,0 +1,50 @@
+/* Test for fnmatch handling of collating elements
+   Copyright (C) 2018 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <stdio.h>
+#include <locale.h>
+#include <fnmatch.h>
+
+static int
+do_test_locale (const char *locale)
+{
+  const char *pattern = "[[.ch.]]";
+
+  if (setlocale (LC_ALL, locale) == NULL)
+    {
+      printf ("could not set locale %s\n", locale);
+      return 1;
+    }
+
+  if (fnmatch (pattern, "ch", 0) != 0)
+    {
+      printf ("%s didn't match in locale %s\n", pattern, locale);
+      return 1;
+    }
+
+  return 0;
+}
+
+static int
+do_test (void)
+{
+  return (do_test_locale ("cs_CZ.ISO-8859-2")
+	  || do_test_locale ("cs_CZ.UTF-8"));
+}
+
+#include <support/test-driver.c>
diff --git a/posix/tst-fnmatch5.c b/posix/tst-fnmatch5.c
new file mode 100644
index 0000000000..c01abc9db5
--- /dev/null
+++ b/posix/tst-fnmatch5.c
@@ -0,0 +1,52 @@
+/* Test for fnmatch handling of collating elements
+   Copyright (C) 2018 Free Software Foundation, Inc.
+   This file is part of the GNU C Library.
+
+   The GNU C Library is free software; you can redistribute it and/or
+   modify it under the terms of the GNU Lesser General Public
+   License as published by the Free Software Foundation; either
+   version 2.1 of the License, or (at your option) any later version.
+
+   The GNU C Library is distributed in the hope that it will be useful,
+   but WITHOUT ANY WARRANTY; without even the implied warranty of
+   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
+   Lesser General Public License for more details.
+
+   You should have received a copy of the GNU Lesser General Public
+   License along with the GNU C Library; if not, see
+   <http://www.gnu.org/licenses/>.  */
+
+#include <fnmatch.h>
+#include <locale.h>
+#include <stdio.h>
+#include <string.h>
+
+#define LENGTH 20000000
+
+static char pattern[LENGTH + 7];
+
+static int
+do_test (void)
+{
+  if (setlocale (LC_ALL, "en_US.UTF-8") == NULL)
+    {
+      puts ("could not set locale");
+      return 1;
+    }
+  pattern[0] = '[';
+  pattern[1] = '[';
+  pattern[2] = '.';
+  memset (pattern + 3, 'a', LENGTH);
+  pattern[LENGTH + 3] = '.';
+  pattern[LENGTH + 4] = ']';
+  pattern[LENGTH + 5] = ']';
+  int ret = fnmatch (pattern, "a", 0);
+  if (ret == 0)
+    {
+      puts ("fnmatch returned 0 for invalid pattern");
+      return 1;
+    }
+  return 0;
+}
+
+#include <support/test-driver.c>
