diff --git a/ChangeLog b/ChangeLog
index 3e4e8ce..c6f030c 100644
--- a/ChangeLog
+++ b/ChangeLog
@@ -5,6 +5,8 @@
 Bugfix
    * Fix compilation error on C++, because of a variable named new.
      Found and fixed by Hirotaka Niisato in #1783.
+   * Fix the inline assembly for the MPI multiply helper function for i386 and
+     i386 with SSE2. Found by László Langó. Fixes #1550
    * Fix a memory leak in mbedtls_x509_csr_parse(), found by catenacyber,
      Philippe Antoine. Fixes #1623.
    * Clarify documentation for mbedtls_ssl_write() to include 0 as a valid
@@ -15,6 +17,10 @@
      by Brendan Shanks. Part of a fix for #992.
    * Fix compilation error when MBEDTLS_ARC4_C is disabled and
      MBEDTLS_CIPHER_NULL_CIPHER is enabled. Found by TrinityTonic in #1719.
+   * Added length checks to some TLS parsing functions. Found and fixed by
+     Philippe Antoine from Catena cyber. #1663.
+   * Fix namespacing in header files. Remove the `mbedtls` namespacing in
+     the `#include` in the header files. Resolves #857
    * Fix decryption of zero length messages (all padding) in some circumstances:
      DTLS 1.0 and 1.2, and CBC ciphersuites using encrypt-then-MAC. Most often
      seen when communicating with OpenSSL using TLS 1.0. Reported by @kFYatek
diff --git a/include/mbedtls/bn_mul.h b/include/mbedtls/bn_mul.h
index 7f8eb1a..bdd7acb 100644
--- a/include/mbedtls/bn_mul.h
+++ b/include/mbedtls/bn_mul.h
@@ -48,7 +48,14 @@
 /* armcc5 --gnu defines __GNUC__ but doesn't support GNU's extended asm */
 #if defined(__GNUC__) && \
     ( !defined(__ARMCC_VERSION) || __ARMCC_VERSION >= 6000000 )
-#if defined(__i386__)
+
+/*
+ * Disable use of the i386 assembly code below if option -O0, to disable all
+ * compiler optimisations, is passed, detected with __OPTIMIZE__
+ * This is done as the number of registers used in the assembly code doesn't
+ * work with the -O0 option.
+ */
+#if defined(__i386__) && defined(__OPTIMIZE__)
 
 #define MULADDC_INIT                        \
     asm(                                    \
@@ -141,7 +148,7 @@
         "movl   %%esi, %3       \n\t"   \
         : "=m" (t), "=m" (c), "=m" (d), "=m" (s)        \
         : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b)   \
-        : "eax", "ecx", "edx", "esi", "edi"             \
+        : "eax", "ebx", "ecx", "edx", "esi", "edi"      \
     );
 
 #else
@@ -153,7 +160,7 @@
         "movl   %%esi, %3       \n\t"   \
         : "=m" (t), "=m" (c), "=m" (d), "=m" (s)        \
         : "m" (t), "m" (s), "m" (d), "m" (c), "m" (b)   \
-        : "eax", "ecx", "edx", "esi", "edi"             \
+        : "eax", "ebx", "ecx", "edx", "esi", "edi"      \
     );
 #endif /* SSE2 */
 #endif /* i386 */
diff --git a/include/mbedtls/config.h b/include/mbedtls/config.h
index 9689643..f9ae71e 100644
--- a/include/mbedtls/config.h
+++ b/include/mbedtls/config.h
@@ -2528,7 +2528,7 @@
 /* \} name SECTION: Module configuration options */
 
 #if defined(TARGET_LIKE_MBED)
-#include "mbedtls/target_config.h"
+#include "target_config.h"
 #endif
 
 /*
diff --git a/include/mbedtls/ctr_drbg.h b/include/mbedtls/ctr_drbg.h
index 059d3c5..f3e9d09 100644
--- a/include/mbedtls/ctr_drbg.h
+++ b/include/mbedtls/ctr_drbg.h
@@ -26,7 +26,7 @@
 #include "aes.h"
 
 #if defined(MBEDTLS_THREADING_C)
-#include "mbedtls/threading.h"
+#include "threading.h"
 #endif
 
 #define MBEDTLS_ERR_CTR_DRBG_ENTROPY_SOURCE_FAILED        -0x0034  /**< The entropy source failed. */
diff --git a/include/mbedtls/hmac_drbg.h b/include/mbedtls/hmac_drbg.h
index e010558..e3e1942 100644
--- a/include/mbedtls/hmac_drbg.h
+++ b/include/mbedtls/hmac_drbg.h
@@ -26,7 +26,7 @@
 #include "md.h"
 
 #if defined(MBEDTLS_THREADING_C)
-#include "mbedtls/threading.h"
+#include "threading.h"
 #endif
 
 /*
diff --git a/library/ssl_cli.c b/library/ssl_cli.c
index d3a8ecf..344f248 100644
--- a/library/ssl_cli.c
+++ b/library/ssl_cli.c
@@ -1141,12 +1141,12 @@
     size_t list_size;
     const unsigned char *p;
 
-    list_size = buf[0];
-    if( list_size + 1 != len )
+    if( len == 0 || (size_t)( buf[0] + 1 ) != len )
     {
         MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad server hello message" ) );
         return( MBEDTLS_ERR_SSL_BAD_HS_SERVER_HELLO );
     }
+    list_size = buf[0];
 
     p = buf + 1;
     while( list_size > 0 )
@@ -2494,7 +2494,7 @@
      * therefore the buffer length at this point must be greater than that
      * regardless of the actual code path.
      */
-    if( ssl->in_hslen <= mbedtls_ssl_hs_hdr_len( ssl ) + 2 + n )
+    if( ssl->in_hslen <= mbedtls_ssl_hs_hdr_len( ssl ) + 3 + n )
     {
         MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad certificate request message" ) );
         return( MBEDTLS_ERR_SSL_BAD_HS_CERTIFICATE_REQUEST );
diff --git a/library/ssl_srv.c b/library/ssl_srv.c
index 3ebf9d9..c04bb53 100644
--- a/library/ssl_srv.c
+++ b/library/ssl_srv.c
@@ -97,6 +97,13 @@
 
     MBEDTLS_SSL_DEBUG_MSG( 3, ( "parse ServerName extension" ) );
 
+    if( len < 2 )
+    {
+        MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad client hello message" ) );
+        mbedtls_ssl_send_alert_message( ssl, MBEDTLS_SSL_ALERT_LEVEL_FATAL,
+                                       MBEDTLS_SSL_ALERT_MSG_DECODE_ERROR );
+        return( MBEDTLS_ERR_SSL_BAD_HS_CLIENT_HELLO );
+    }
     servername_list_size = ( ( buf[0] << 8 ) | ( buf[1] ) );
     if( servername_list_size + 2 != len )
     {
@@ -105,7 +112,7 @@
     }
 
     p = buf + 2;
-    while( servername_list_size > 0 )
+    while( servername_list_size > 2 )
     {
         hostname_len = ( ( p[1] << 8 ) | p[2] );
         if( hostname_len + 3 > servername_list_size )
@@ -211,6 +218,12 @@
     mbedtls_md_type_t md_cur;
     mbedtls_pk_type_t sig_cur;
 
+    if ( len < 2 ) {
+        MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad client hello message" ) );
+        mbedtls_ssl_send_alert_message( ssl, MBEDTLS_SSL_ALERT_LEVEL_FATAL,
+                                       MBEDTLS_SSL_ALERT_MSG_DECODE_ERROR );
+        return( MBEDTLS_ERR_SSL_BAD_HS_CLIENT_HELLO );
+    }
     sig_alg_list_size = ( ( buf[0] << 8 ) | ( buf[1] ) );
     if( sig_alg_list_size + 2 != len ||
         sig_alg_list_size % 2 != 0 )
@@ -276,6 +289,12 @@
     const unsigned char *p;
     const mbedtls_ecp_curve_info *curve_info, **curves;
 
+    if ( len < 2 ) {
+        MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad client hello message" ) );
+        mbedtls_ssl_send_alert_message( ssl, MBEDTLS_SSL_ALERT_LEVEL_FATAL,
+                                       MBEDTLS_SSL_ALERT_MSG_DECODE_ERROR );
+        return( MBEDTLS_ERR_SSL_BAD_HS_CLIENT_HELLO );
+    }
     list_size = ( ( buf[0] << 8 ) | ( buf[1] ) );
     if( list_size + 2 != len ||
         list_size % 2 != 0 )
@@ -327,12 +346,12 @@
     size_t list_size;
     const unsigned char *p;
 
-    list_size = buf[0];
-    if( list_size + 1 != len )
+    if( len == 0 || (size_t)( buf[0] + 1 ) != len )
     {
         MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad client hello message" ) );
         return( MBEDTLS_ERR_SSL_BAD_HS_CLIENT_HELLO );
     }
+    list_size = buf[0];
 
     p = buf + 1;
     while( list_size > 0 )
@@ -1573,10 +1592,16 @@
 
         while( ext_len != 0 )
         {
-            unsigned int ext_id   = ( ( ext[0] <<  8 )
-                                    | ( ext[1]       ) );
-            unsigned int ext_size = ( ( ext[2] <<  8 )
-                                    | ( ext[3]       ) );
+            unsigned int ext_id;
+            unsigned int ext_size;
+            if ( ext_len < 4 ) {
+                MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad client hello message" ) );
+                mbedtls_ssl_send_alert_message( ssl, MBEDTLS_SSL_ALERT_LEVEL_FATAL,
+                                               MBEDTLS_SSL_ALERT_MSG_DECODE_ERROR );
+                return( MBEDTLS_ERR_SSL_BAD_HS_CLIENT_HELLO );
+            }
+            ext_id   = ( ( ext[0] <<  8 ) | ( ext[1] ) );
+            ext_size = ( ( ext[2] <<  8 ) | ( ext[3] ) );
 
             if( ext_size + 4 > ext_len )
             {
@@ -3166,6 +3191,10 @@
     defined(MBEDTLS_SSL_PROTO_TLS1_2)
     if( ssl->minor_ver != MBEDTLS_SSL_MINOR_VERSION_0 )
     {
+        if ( p + 2 > end ) {
+            MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad client key exchange message" ) );
+            return( MBEDTLS_ERR_SSL_BAD_HS_CLIENT_KEY_EXCHANGE );
+        }
         if( *p++ != ( ( len >> 8 ) & 0xFF ) ||
             *p++ != ( ( len      ) & 0xFF ) )
         {
diff --git a/library/ssl_tls.c b/library/ssl_tls.c
index d5a7027..0f38faa 100644
--- a/library/ssl_tls.c
+++ b/library/ssl_tls.c
@@ -1132,6 +1132,9 @@
          * other_secret already set by the ClientKeyExchange message,
          * and is 48 bytes long
          */
+        if( end - p < 2 )
+            return( MBEDTLS_ERR_SSL_BAD_INPUT_DATA );
+
         *p++ = 0;
         *p++ = 48;
         p += 48;
@@ -4481,6 +4484,12 @@
 
     while( i < ssl->in_hslen )
     {
+        if ( i + 3 > ssl->in_hslen ) {
+            MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad certificate message" ) );
+            mbedtls_ssl_send_alert_message( ssl, MBEDTLS_SSL_ALERT_LEVEL_FATAL,
+                                           MBEDTLS_SSL_ALERT_MSG_DECODE_ERROR );
+            return( MBEDTLS_ERR_SSL_BAD_HS_CERTIFICATE );
+        }
         if( ssl->in_msg[i] != 0 )
         {
             MBEDTLS_SSL_DEBUG_MSG( 1, ( "bad certificate message" ) );
diff --git a/tests/scripts/all.sh b/tests/scripts/all.sh
index 5c1ae2d..8582203 100755
--- a/tests/scripts/all.sh
+++ b/tests/scripts/all.sh
@@ -308,6 +308,7 @@
             echo "!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"
             echo "${start_red}FAILED: $failure_count${end_color}$failure_summary"
             echo "!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!"
+            exit 1
         elif [ -z "${1-}" ]; then
             echo "SUCCESS :)"
         fi
@@ -597,15 +598,30 @@
 fi
 
 if uname -a | grep -F x86_64 >/dev/null; then
-    msg "build: i386, make, gcc" # ~ 30s
+    # Build once with -O0, to compile out the i386 specific inline assembly
+    msg "build: i386, make, gcc -O0 (ASan build)" # ~ 30s
     cleanup
-    make CC=gcc CFLAGS='-Werror -m32'
+    cp "$CONFIG_H" "$CONFIG_BAK"
+    scripts/config.pl full
+    make CC=gcc CFLAGS='-O0 -Werror -Wall -Wextra -m32 -fsanitize=address'
 
-    msg "test: i386, make, gcc"
+    msg "test: i386, make, gcc -O0 (ASan build)"
+    make test
+
+    # Build again with -O1, to compile in the i386 specific inline assembly
+    msg "build: i386, make, gcc -O1 (ASan build)" # ~ 30s
+    cleanup
+    cp "$CONFIG_H" "$CONFIG_BAK"
+    scripts/config.pl full
+    make CC=gcc CFLAGS='-O1 -Werror -Wall -Wextra -m32 -fsanitize=address'
+
+    msg "test: i386, make, gcc -O1 (ASan build)"
     make test
 
     msg "build: 64-bit ILP32, make, gcc" # ~ 30s
     cleanup
+    cp "$CONFIG_H" "$CONFIG_BAK"
+    scripts/config.pl full
     make CC=gcc CFLAGS='-Werror -Wall -Wextra -mx32'
 
     msg "test: 64-bit ILP32, make, gcc"
diff --git a/tests/suites/test_suite_dhm.data b/tests/suites/test_suite_dhm.data
index e351ebd..734fd97 100644
--- a/tests/suites/test_suite_dhm.data
+++ b/tests/suites/test_suite_dhm.data
@@ -19,10 +19,10 @@
 Diffie-Hellman zero modulus
 dhm_do_dhm:10:"0":10:"5":MBEDTLS_ERR_DHM_BAD_INPUT_DATA
 
-Diffie-Hallman load parameters from file
+Diffie-Hellman load parameters from file
 dhm_file:"data_files/dhparams.pem":"9e35f430443a09904f3a39a979797d070df53378e79c2438bef4e761f3c714553328589b041c809be1d6c6b5f1fc9f47d3a25443188253a992a56818b37ba9de5a40d362e56eff0be5417474c125c199272c8fe41dea733df6f662c92ae76556e755d10c64e6a50968f67fc6ea73d0dca8569be2ba204e23580d8bca2f4975b3":"02":128
 
-Diffie-Hallman load parameters from file
+Diffie-Hellman load parameters from file
 dhm_file:"data_files/dh.optlen.pem":"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":"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":256
 
 Diffie-Hellman selftest