diff --git a/tests/suites/test_suite_mpi.data b/tests/suites/test_suite_mpi.data
index 02a11c8..056310a 100644
--- a/tests/suites/test_suite_mpi.data
+++ b/tests/suites/test_suite_mpi.data
@@ -67,12 +67,18 @@
 Test mpi_read_write_string #9 (Empty MPI hex -> dec)
 mpi_read_write_string:16:"":10:"0":4:0:0
 
+Test mpi_read_write_string #9 (Empty MPI hex -> base 2)
+mpi_read_write_string:16:"":2:"0":4:0:0
+
 Test mpi_read_write_string #8 (Empty MPI dec -> hex)
 mpi_read_write_string:10:"":16:"":4:0:0
 
 Test mpi_read_write_string #9 (Empty MPI dec -> dec)
 mpi_read_write_string:10:"":10:"0":4:0:0
 
+Test mpi_read_write_string #9 (Empty MPI dec -> base 2)
+mpi_read_write_string:16:"":2:"0":4:0:0
+
 Test mpi_write_string #10 (Negative hex with odd number of digits)
 mpi_read_write_string:16:"-1":16:"":3:0:MBEDTLS_ERR_MPI_BUFFER_TOO_SMALL
 
@@ -1216,9 +1222,15 @@
 Test mbedtls_mpi_mod_int: 0 (null) % 1
 mbedtls_mpi_mod_int:16:"":1:0:0
 
+Test mbedtls_mpi_mod_int: 0 (null) % 2
+mbedtls_mpi_mod_int:16:"":2:0:0
+
 Test mbedtls_mpi_mod_int: 0 (null) % -1
 mbedtls_mpi_mod_int:16:"":-1:0:MBEDTLS_ERR_MPI_NEGATIVE_VALUE
 
+Test mbedtls_mpi_mod_int: 0 (null) % -2
+mbedtls_mpi_mod_int:16:"":-2:0:MBEDTLS_ERR_MPI_NEGATIVE_VALUE
+
 Base test mbedtls_mpi_exp_mod #1
 mbedtls_mpi_exp_mod:10:"23":10:"13":10:"29":10:"24":0
 
diff --git a/tests/suites/test_suite_ssl.data b/tests/suites/test_suite_ssl.data
index a851d5c..19a1ae6 100644
--- a/tests/suites/test_suite_ssl.data
+++ b/tests/suites/test_suite_ssl.data
@@ -3429,3 +3429,24 @@
 
 Force a bad session id length
 force_bad_session_id_len
+
+Cookie parsing: nominal run
+cookie_parsing:"16fefd0000000000000000002F010000de000000000000011efefd7b7272727272727272727272727272727272727272727272727272727272727d00200000000000000000000000000000000000000000000000000000000000000000":MBEDTLS_ERR_SSL_INTERNAL_ERROR
+
+Cookie parsing: cookie_len overflow
+cookie_parsing:"16fefd000000000000000000ea010000de000000000000011efefd7b7272727272727272727272727272727272727272727272727272727272727db97b7373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737373737db963":MBEDTLS_ERR_SSL_DECODE_ERROR
+
+Cookie parsing: non-zero fragment offset
+cookie_parsing:"16fefd00000000000000000032010000de000072000000011efefd7b7272727272727272727272727272727272727272727272727272727272727d01730143":MBEDTLS_ERR_SSL_DECODE_ERROR
+
+Cookie parsing: sid_len overflow
+cookie_parsing:"16fefd00000000000000000032010000de000000000000011efefd7b7272727272727272727272727272727272727272727272727272727272727dFF730143":MBEDTLS_ERR_SSL_DECODE_ERROR
+
+Cookie parsing: record too short
+cookie_parsing:"16fefd0000000000000000002f010000de000000000000011efefd7b7272727272727272727272727272727272727272727272727272727272727dFF":MBEDTLS_ERR_SSL_DECODE_ERROR
+
+Cookie parsing: one byte overread
+cookie_parsing:"16fefd0000000000000000002F010000de000000000000011efefd7b7272727272727272727272727272727272727272727272727272727272727d0001":MBEDTLS_ERR_SSL_DECODE_ERROR
+
+TLS 1.3 srv Certificate msg - wrong vector lengths
+tls13_server_certificate_msg_invalid_vector_len
diff --git a/tests/suites/test_suite_ssl.function b/tests/suites/test_suite_ssl.function
index c65b565..a84f743 100644
--- a/tests/suites/test_suite_ssl.function
+++ b/tests/suites/test_suite_ssl.function
@@ -139,6 +139,23 @@
     (void) opts;
 #endif
 }
+
+#if defined(MBEDTLS_TEST_HOOKS)
+static void set_chk_buf_ptr_args(
+    mbedtls_ssl_chk_buf_ptr_args *args,
+    unsigned char *cur, unsigned char *end, size_t need )
+{
+    args->cur = cur;
+    args->end = end;
+    args->need = need;
+}
+
+static void reset_chk_buf_ptr_args( mbedtls_ssl_chk_buf_ptr_args *args )
+{
+    memset( args, 0, sizeof( *args ) );
+}
+#endif /* MBEDTLS_TEST_HOOKS */
+
 /*
  * Buffer structure for custom I/O callbacks.
  */
@@ -2383,6 +2400,119 @@
 }
 #endif /* MBEDTLS_X509_CRT_PARSE_C && MBEDTLS_ENTROPY_C && MBEDTLS_CTR_DRBG_C */
 
+#if defined(MBEDTLS_TEST_HOOKS)
+/*
+ * Tweak vector lengths in a TLS 1.3 Certificate message
+ *
+ * \param[in]       buf    Buffer containing the Certificate message to tweak
+ * \param[in]]out]  end    End of the buffer to parse
+ * \param           tweak  Tweak identifier (from 1 to the number of tweaks).
+ * \param[out]  expected_result  Error code expected from the parsing function
+ * \param[out]  args  Arguments of the MBEDTLS_SSL_CHK_BUF_READ_PTR call that
+ *                    is expected to fail. All zeroes if no
+ *                    MBEDTLS_SSL_CHK_BUF_READ_PTR failure is expected.
+ */
+int tweak_tls13_certificate_msg_vector_len(
+    unsigned char *buf, unsigned char **end, int tweak,
+    int *expected_result, mbedtls_ssl_chk_buf_ptr_args *args )
+{
+/*
+ * The definition of the tweaks assume that the certificate list contains only
+ * one certificate.
+ */
+
+/*
+ * struct {
+ *     opaque cert_data<1..2^24-1>;
+ *     Extension extensions<0..2^16-1>;
+ * } CertificateEntry;
+ *
+ * struct {
+ *     opaque certificate_request_context<0..2^8-1>;
+ *     CertificateEntry certificate_list<0..2^24-1>;
+ * } Certificate;
+ */
+    unsigned char *p_certificate_request_context_len = buf;
+    size_t certificate_request_context_len = buf[0];
+
+    unsigned char *p_certificate_list_len = buf + 1 + certificate_request_context_len;
+    unsigned char *certificate_list = p_certificate_list_len + 3;
+    size_t certificate_list_len = MBEDTLS_GET_UINT24_BE( p_certificate_list_len, 0 );
+
+    unsigned char *p_cert_data_len = certificate_list;
+    unsigned char *cert_data = p_cert_data_len + 3;
+    size_t cert_data_len = MBEDTLS_GET_UINT24_BE( p_cert_data_len, 0 );
+
+    unsigned char *p_extensions_len = cert_data + cert_data_len;
+    unsigned char *extensions = p_extensions_len + 2;
+    size_t extensions_len = MBEDTLS_GET_UINT16_BE( p_extensions_len, 0 );
+
+    *expected_result = MBEDTLS_ERR_SSL_DECODE_ERROR;
+
+    switch( tweak )
+    {
+        case 1:
+        /* Failure when checking if the certificate request context length and
+         * certificate list length can be read
+         */
+        *end = buf + 3;
+        set_chk_buf_ptr_args( args, buf, *end, 4 );
+        break;
+
+        case 2:
+        /* Invalid certificate request context length.
+         */
+        *p_certificate_request_context_len =
+            certificate_request_context_len + 1;
+        reset_chk_buf_ptr_args( args );
+        break;
+
+        case 3:
+        /* Failure when checking if certificate_list data can be read. */
+        MBEDTLS_PUT_UINT24_BE( certificate_list_len + 1,
+                               p_certificate_list_len, 0 );
+        set_chk_buf_ptr_args( args, certificate_list, *end,
+                              certificate_list_len + 1 );
+        break;
+
+        case 4:
+        /* Failure when checking if the cert_data length can be read. */
+        MBEDTLS_PUT_UINT24_BE( 2, p_certificate_list_len, 0 );
+        set_chk_buf_ptr_args( args, p_cert_data_len, certificate_list + 2, 3 );
+        break;
+
+        case 5:
+        /* Failure when checking if cert_data data can be read. */
+        MBEDTLS_PUT_UINT24_BE( certificate_list_len - 3 + 1,
+                               p_cert_data_len, 0 );
+        set_chk_buf_ptr_args( args, cert_data,
+                              certificate_list + certificate_list_len,
+                              certificate_list_len - 3 + 1 );
+        break;
+
+        case 6:
+        /* Failure when checking if the extensions length can be read. */
+        MBEDTLS_PUT_UINT24_BE( certificate_list_len - extensions_len - 1,
+                               p_certificate_list_len, 0 );
+        set_chk_buf_ptr_args( args, p_extensions_len,
+            certificate_list + certificate_list_len - extensions_len - 1, 2 );
+        break;
+
+        case 7:
+        /* Failure when checking if extensions data can be read. */
+        MBEDTLS_PUT_UINT16_BE( extensions_len + 1, p_extensions_len, 0 );
+
+        set_chk_buf_ptr_args( args, extensions,
+            certificate_list + certificate_list_len, extensions_len + 1 );
+        break;
+
+        default:
+        return( -1 );
+    }
+
+    return( 0 );
+}
+#endif /* MBEDTLS_TEST_HOOKS */
 /* END_HEADER */
 
 /* BEGIN_DEPENDENCIES
@@ -5574,6 +5704,34 @@
 }
 /* END_CASE */
 
+/* BEGIN_CASE depends_on:MBEDTLS_SSL_SRV_C:MBEDTLS_SSL_DTLS_CLIENT_PORT_REUSE:MBEDTLS_TEST_HOOKS */
+void cookie_parsing( data_t *cookie, int exp_ret )
+{
+    mbedtls_ssl_context ssl;
+    mbedtls_ssl_config conf;
+    size_t len;
+
+    mbedtls_ssl_init( &ssl );
+    mbedtls_ssl_config_init( &conf );
+    TEST_EQUAL( mbedtls_ssl_config_defaults( &conf, MBEDTLS_SSL_IS_SERVER,
+                                             MBEDTLS_SSL_TRANSPORT_DATAGRAM,
+                                             MBEDTLS_SSL_PRESET_DEFAULT ),
+                0 );
+
+    TEST_EQUAL( mbedtls_ssl_setup( &ssl, &conf ), 0 );
+    TEST_EQUAL( mbedtls_ssl_check_dtls_clihlo_cookie( &ssl, ssl.cli_id,
+                                                  ssl.cli_id_len,
+                                                  cookie->x, cookie->len,
+                                                  ssl.out_buf,
+                                                  MBEDTLS_SSL_OUT_CONTENT_LEN,
+                                                  &len ),
+                exp_ret );
+
+    mbedtls_ssl_free( &ssl );
+    mbedtls_ssl_config_free( &conf );
+}
+/* END_CASE */
+
 /* BEGIN_CASE depends_on:MBEDTLS_TIMING_C:MBEDTLS_HAVE_TIME */
 void timing_final_delay_accessor( )
 {
@@ -5735,3 +5893,87 @@
     USE_PSA_DONE( );
 }
 /* END_CASE */
+/* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS:MBEDTLS_SSL_PROTO_TLS1_3:!MBEDTLS_SSL_PROTO_TLS1_2:MBEDTLS_SSL_CLI_C:MBEDTLS_SSL_SRV_C:MBEDTLS_X509_CRT_PARSE_C:MBEDTLS_ECP_DP_SECP384R1_ENABLED */
+void tls13_server_certificate_msg_invalid_vector_len( )
+{
+    int ret = -1;
+    mbedtls_endpoint client_ep, server_ep;
+    unsigned char *buf, *end;
+    size_t buf_len;
+    int step = 0;
+    int expected_result;
+    mbedtls_ssl_chk_buf_ptr_args expected_chk_buf_ptr_args;
+
+    /*
+     * Test set-up
+     */
+    USE_PSA_INIT( );
+
+    ret = mbedtls_endpoint_init( &client_ep, MBEDTLS_SSL_IS_CLIENT,
+                                 MBEDTLS_PK_ECDSA, NULL, NULL, NULL, NULL );
+    TEST_EQUAL( ret, 0 );
+
+    ret = mbedtls_endpoint_init( &server_ep, MBEDTLS_SSL_IS_SERVER,
+                                 MBEDTLS_PK_ECDSA, NULL, NULL, NULL, NULL );
+    TEST_EQUAL( ret, 0 );
+
+    ret = mbedtls_mock_socket_connect( &(client_ep.socket),
+                                       &(server_ep.socket), 1024 );
+    TEST_EQUAL( ret, 0 );
+
+    while( 1 )
+    {
+        mbedtls_test_set_step( ++step );
+
+        ret = mbedtls_move_handshake_to_state( &(server_ep.ssl),
+                                               &(client_ep.ssl),
+                                               MBEDTLS_SSL_CERTIFICATE_VERIFY );
+        TEST_EQUAL( ret, 0 );
+
+        ret = mbedtls_ssl_flush_output( &(server_ep.ssl) );
+        TEST_EQUAL( ret, 0 );
+
+        ret = mbedtls_move_handshake_to_state( &(client_ep.ssl),
+                                               &(server_ep.ssl),
+                                               MBEDTLS_SSL_SERVER_CERTIFICATE );
+        TEST_EQUAL( ret, 0 );
+
+        ret = mbedtls_ssl_tls13_fetch_handshake_msg( &(client_ep.ssl),
+                                                     MBEDTLS_SSL_HS_CERTIFICATE,
+                                                     &buf, &buf_len );
+        TEST_EQUAL( ret, 0 );
+
+        end = buf + buf_len;
+
+        /*
+         * Tweak server Certificate message and parse it.
+         */
+
+        ret = tweak_tls13_certificate_msg_vector_len(
+            buf, &end, step, &expected_result, &expected_chk_buf_ptr_args );
+
+        if( ret != 0 )
+            break;
+
+        ret = mbedtls_ssl_tls13_parse_certificate( &(client_ep.ssl), buf, end );
+        TEST_EQUAL( ret, expected_result );
+
+        TEST_ASSERT( mbedtls_ssl_cmp_chk_buf_ptr_fail_args(
+                         &expected_chk_buf_ptr_args ) == 0 );
+
+        mbedtls_ssl_reset_chk_buf_ptr_fail_args( );
+
+        ret = mbedtls_ssl_session_reset( &(client_ep.ssl) );
+        TEST_EQUAL( ret, 0 );
+
+        ret = mbedtls_ssl_session_reset( &(server_ep.ssl) );
+        TEST_EQUAL( ret, 0 );
+    }
+
+exit:
+    mbedtls_ssl_reset_chk_buf_ptr_fail_args( );
+    mbedtls_endpoint_free( &client_ep, NULL );
+    mbedtls_endpoint_free( &server_ep, NULL );
+    USE_PSA_DONE( );
+}
+/* END_CASE */