Difference between revisions of "AES-CCM Attack"

Revision as of 04:44, 3 November 2016

The following is an overview of the AES-CMM attack done by Eyal Ronen, detailed in his draft/limited release paper IoT Goes Nuclear: Creating a ZigBee Chain Reaction. If using this attack please do not cite this page, instead cite the research paper only. The paper is currently a draft so there is no proceedings information etc as it has not yet been presented anywhere.

This page is presented as an example of using Python/ChipWhisperer to perform attacks against the AES-CCM cipher, without needing to do a more complex attack against AES-CTR mode.

AES-CCM Overview

AES-CCM provides both encryption and authentication using the AES block cipher. This is a widely used mode since it requires only a single cryptographic primitive. That primitive is used in two different modes: CBC and CTR mode. The difference is explained below:

Cipher Block Chaining (CBC): The plaintext is XORed with the previous ciphertext before being encrypted. There is no ciphertext before the first plaintext, so a randomly chosen initialization vector (IV) is used instead:

Counter (CTR): An incrementing counter is encrypted to produce a sequence of blocks, which are XORed with the plaintexts to produce the ciphertexts:

In AES-CCM mode, the AES-CBC encryption is used to generate a nice "authentication tag". If a single byte changed anywhere in the data fed into the AES-CBC block, the final output will differ.

The AES-CTR mode is used for the actual data encryption.

Background on Attack

The following will use the notation from IoT Goes Nuclear: Creating a ZigBee Chain Reaction. This notation will be adopted throughout this wiki page.

Breaking AES-CBC Encryption with unknown I.V.

If you've performed a standard CPA attack, you'll realize the problem with attacking AES-CBC is we don't directly control the input, which we call $PT$ . Instead it's XORd with some unknown bytes (the AES-CBC ciphertext output).

But if we are always attacking the same block (that is, we reset the AES state to initial by say resetting the device, and rerun the algorithm up to the first block), the unknown bytes are constant. As it turns out this is a pretty easy problem to solve. The first step is to perform a standard CPA attack. The only issue is we won't recover the actual encryption key used $k$ , instead we recover $k \oplus CBC_{m-1} \oplus PT$ , since we basically roll all the constant inputs into what we call a `modified key'. Note $CBC_{m-1}$ is the output of the previous-block AES-CBC ciphertext.

In what might seem like magic, we can use this modified key to directly determine the second-round key (the true key). This was originally presented by J. Jaffe in A First-Order DPA Attack Against AES in Counter Mode with Unknown Initial Counter. The reason this works is if you remember we recovered $k' = k \oplus CBC_{m-1}$ . In the AES algorithm the first thing we do is the AddRoundKey, which is:

$AddRoundKey(a,b) = a \oplus b$ .

In the true algorithm we have the case of: $AddRoundKey(k, CBC_{m-1} \oplus PT)$

And when we use our modified key, we are feeding the PT directly into AddRoundKey: $AddRoundKey(k', PT)$

Where the $k'$ basically includes those additional constants, instead of them being added to the plaintext as part of the input processing. Ultimately it means the output of AddRoundKey, and thus processing of later rounds, is identical in both cases. So we can perform a CPA attack on the 2nd-round key, and directly recover the "true" first-round key by rolling back the key schedule.

This is the solution now - we simply perform a CPA attack on the 2nd round of the AES algorithm, where we use the AES algorithm to determine the inputs to the second-round based on our modified key & the known plaintext.

Performing Attack

Building Example

There is an example of a simple bootloader which uses AES-CCM in the firmware directory.

Collecting Traces

Step #1: AES-CBC MAC Block #1

The first step is to recover the AES encryption key used in round 1. This isn't too difficult - we'll first take our power traces, which if you recall look something like this:

I've gone out of my way & marked the location of AES on it. Let's assume you didn't have that - why might you do? We can actually first do a CPA attack with the "XOR" leakage model to determine where data is being manipulated.

1-B: Finding interesting areas

Doing this requires switching the attack algorithm to the AddRoundKey output (where AddRoundKey is just an XOR operation):

Note running it against all points might give you a memory error (especially on a 32-bit system). We don't need all bytes though, so to avoid this just change these settings:

Only enable a single subkey (i.e., say byte 0).
Set reporting interval & traces per attack to same value (say 100 I used here).

The result will show you correlation where the input data was used (possibly XORd with any constant). You'll get something like the top graph, where I've added an overlay of the power trace below it:

Note this is basically showing us where the AES-CTR output occurs, then where the AES-CBC input happens. The correlations correspond to the following I think (there may be a mixup of where the load occurs - if any of those intermediate states are loaded/saved it would show up):

Load of CT data.
XOR of AES-CTR output 'pad' with input CT.
XOR of previous with the old AES-CBC state as part of AES-CBC input processing.
AddRoundKey of previous during AES-ECB block.

1-C: Modified First-Round Key

The first step is to perform a standard CPA attack. Remember we won't recover the actual encryption key used $k$ , instead we recover $k \oplus CBC_{m-1} \oplus CTR_{m}$ , since we basically roll all the constant inputs into what we call a `modified key'.

So let's do a first-round attack focused around points (180000,22000) to start (roughly picked from the power traces). To do this:

Turn back on all bytes (if previously disabled).
Switch leakage model to S-Box output.

You'll likely find after a number of traces you could plot correlation for bytes 0 & 15, and get a better idea where the attack should happen. Looking at the following I can see we could focus on points (18600,19200) and might get a more reliable attack.

Finally, you should get this `modified key', in this example we can see it appears to be 94 28 5D 4D 6D CF EC 08 D8 AC DD F6 BE 25 A4 99:

The next step is to use this to recover the complete round-key.

1-D: True Second-Round Key

In what might seem like magic, we can use this modified key to directly determine the second-round key (the true key). This was originally presented by J. Jaffe in A First-Order DPA Attack Against AES in Counter Mode with Unknown Initial Counter, and details were described earlier in this page.

For our case we are using $PT_m = CT_m \oplus CTR_{m}$ , that is we don't have $PT$ directly, but we actually have the input to the AES-CTR decryption. Ultimately the AES-CTR output will become another unknown constant we will deal with later.

To repeat the previous explanation: the reason this works is if you remember we recovered $k' = k \oplus CBC_{m-1}$ . In the AES algorithm the first thing we do is the AddRoundKey, which is:

$AddRoundKey(a,b) = a \oplus b$ .

In the true algorithm we have the case of: $AddRoundKey(k, CBC_{m-1} \oplus CTR_{m} \oplus CT)$

And when we use our modified key, we are feeding the CT directly into AddRoundKey: $AddRoundKey(k', CT)$

Where the $k'$ basically includes those additional constants, instead of them being added as part of the ciphertext. Ultimately it means the output of AddRoundKey, and thus processing of later rounds, is identical in both cases. So we can perform a CPA attack on the 2nd-round key, and directly recover the "true" first-round key by rolling back the key schedule.

This requires a custom leakage model, which we can make fairly easily:

from chipwhisperer.analyzer.attacks.models.AES128_8bit import AESLeakageHelper

class Round2(AESLeakageHelper):
    name = 'HW: Round-2 Key'
    def leakage(self, pt, ct, key, bnum):
        r1key = [0x94, 0x28, 0x5D, 0x4D, 0x6D, 0xCF, 0xEC, 0x08, 0xD8, 0xAC, 0xDD, 0xF6, 0xBE, 0x25, 0xA4, 0x99]
        state = [pt[i] ^ r1key[i] for i in range(0, 16)]
        state = self.subbytes(state)
        state = self.shiftrows(state)
        state = self.mixcolumns(state)
        return self.sbox(state[bnum] ^ key[bnum])

And we insert it into the system by modifying the analysis script in initAnalysis():

leakage_object = chipwhisperer.analyzer.attacks.models.AES128_8bit.AES128_8bit(Round2)

You can perform the same CPA attack, modified to occur around the second round. In this example I found points (20520, 21950) worked well - but you can try a much larger point-range, and then scale that down to get a faster calculation. This gives us the round-2 key, in this example appears to be AA 61 B3 E3 C7 AE 5F EB 1F 02 82 1D A1 27 26 84:

Using the key-schedule widget, you can then determine the true initial key was 94285d4d6dcfec08d8acddf6be25a499 (which matches what was programmed in this example):

Note in addition you can perform the operation $k' \oplus k$ to recover $CBC_{m-1} \oplus CTR_{m}$ . If we knew either one of those we could then completely break AES-CCM, since we would know the AES-CBC I.V., along with the AES-CTR nonce/format.

For a well-known implementation (say in IEEE 802.15.4) we are done, as the nonce format is known. You can perform an encryption with the known nonce to recover $CTR_{m}$ , then immediately recover $CBC_{m-1}$ . Note this isn't the true I.V. as written in the file, but the result of the AES-CBC state up until the first encryption block was performed. Thus you cannot change the authentication-only blocks without doing further work to reverse back to the original I.V.

In the event the AES-CTR nonce input is unknown, additional work is required (detailed below).

Step #2A: AES-CBC MAC Block #2

Repeating this for block #2 is exactly the same as before. Note you will need to perform a capture which triggers on the second block, which may require changes to the firmware source code.

Once you recover Block #1, you can calculate $CBC_{m}$ . Recovering block #2 means you could use $CBC_{m}$ to determine $CTR_{m+1}$ . Then you can decrypt $CTR_{m+1}$ to determine the AES-CTR nonce format.

Step #2B: AES-CTR Pad Output DPA

As an alternative to doing the same thing on the second block, we can use a DPA attack to figure out the AES-CTR output pad.

Example Bootloader

The example bootloader has a simplified AES-CCM implementation (NB: do NOT use this as a reference for a good implementation!). It accomplishes the basic goals only of having:

Header data that is authenticated but not encrypted
An encrypted MAC tag
A bunch of encrypted firmware blocks

Each block sent to the bootloader is 19 bytes long. The first byte indicates the type - header, auth tag, or data. If a new 'header' message is received it will abort any ongoing processing of existing data and restart the bootloader process.

All messages share this feature:

CRC-16: A 16-bit checksum using the CRC-CCITT polynomial (0x1021). The LSB of the CRC is sent first, followed by the MSB. The bootloader will reply over the serial port, describing whether or not this CRC check was valid.

Header Frame

0x01: 1 byte of fixed header
Header Info: 14 bytes of "header" data which could be version or other such stuff.
Length: Number of encrypted data frames (NOT including the auth-tag frame) that will follow.

Note the 16 bytes of the header info + length are fed into the AES-CBC algorithm as part of the auth-tag generation. That is this data is authenticated but not encrypted.

+------+------+------+------+ .... +------+------+------+------+
| 0x01 |     Header Info (14 bytes)|    Length   |   CRC-16    |
+------+------+------+------+ .... +------+------+------+------+

Auth Tag Frame

0x02: 1 byte of fixed header
Auth-Tag: The expected output of the AES-CBC algorithm after processing the authenticated only data + decrypted data frames. This is then encrypted in AES-CTR mode with the CTR set to 0.

       
       |<----- Encrypted block (16 bytes) ------>|
       |    AES-CTR Encryption with CTR=0        |
       |                                         |
+------+------+------+------+ .... +------+------+------+------+
| 0x02 |     Auth-Tag (encrypted MAC)            |   CRC-16    |
+------+------+------+------+ .... +------+------+------+------+

Data block frame

0x03: 1 byte of fixed header
Encrypted Data: Data encrypted in AES-CTR mode, with the CTR starting at 1 and incrementing.

       |<----- Encrypted block (16 bytes) ------>|
       |   AES-CTR Encryption with CTR=1,2,3..N  |
       |                                         |
+------+------+------+------+ .... +------+------+------+------+
| 0x03 |            Data (16 Bytes)              |   CRC-16    |
+------+------+------+------+ .... +------+------+------+------+

The bootloader responds to each command with a single byte indicating if the CRC-16 was OK or not:

            +------+
CRC-OK:     | 0xA1 |
            +------+

            +------+
CRC Failed: | 0xA4 |
            +------+

Once ALL messages are received, the bootloader will respond with a signature OK or not message:

            +------+
Sig-OK:     | 0xB1 |
            +------+

            +------+
Sig Failed: | 0xB4 |
            +------+

Note details of the AES-CTR nonce, AES-CBC I.V., and key are stored in the firmware itself. In this example they are not downloaded as part of the encrypted firmware file.

Bootloader Interface Code

#!/usr/bin/python
# -*- coding: utf-8 -*-
#
# Copyright (c) 2013-2016, NewAE Technology Inc
# All rights reserved.
#
# Authors: Colin O'Flynn, Greg d'Eon
#
# Find this and more at newae.com - this file is part of the chipwhisperer
# project, http://www.assembla.com/spaces/chipwhisperer
#
#    This file is part of chipwhisperer.
#
#    chipwhisperer is free software: you can redistribute it and/or modify
#    it under the terms of the GNU General Public License as published by
#    the Free Software Foundation, either version 3 of the License, or
#    (at your option) any later version.
#
#    chipwhisperer 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 General Public License
#    along with chipwhisperer.  If not, see <http://www.gnu.org/licenses/>.
#=================================================

import sys
import time
import chipwhisperer.capture.ui.CWCaptureGUI as cwc
from chipwhisperer.common.api.CWCoreAPI import CWCoreAPI
from chipwhisperer.capture.targets.SimpleSerial import SimpleSerial
from chipwhisperer.common.scripts.base import UserScriptBase
from chipwhisperer.capture.targets._base import TargetTemplate
from chipwhisperer.common.utils import pluginmanager
from chipwhisperer.capture.targets.simpleserial_readers.cwlite import SimpleSerial_ChipWhispererLite
from chipwhisperer.common.utils.parameter import setupSetParam
import logging

# Class Crc
#############################################################
# These CRC routines are copy-pasted from pycrc, which are:
# Copyright (c) 2006-2013 Thomas Pircher <tehpeh@gmx.net>
#
class Crc(object):
    """
    A base class for CRC routines.
    """

    def __init__(self, width, poly):
        """The Crc constructor.

        The parameters are as follows:
            width
            poly
            reflect_in
            xor_in
            reflect_out
            xor_out
        """
        self.Width = width
        self.Poly = poly


        self.MSB_Mask = 0x1 << (self.Width - 1)
        self.Mask = ((self.MSB_Mask - 1) << 1) | 1

        self.XorIn = 0x0000
        self.XorOut = 0x0000

        self.DirectInit = self.XorIn
        self.NonDirectInit = self.__get_nondirect_init(self.XorIn)
        if self.Width < 8:
            self.CrcShift = 8 - self.Width
        else:
            self.CrcShift = 0

    def __get_nondirect_init(self, init):
        """
        return the non-direct init if the direct algorithm has been selected.
        """
        crc = init
        for i in range(self.Width):
            bit = crc & 0x01
            if bit:
                crc ^= self.Poly
            crc >>= 1
            if bit:
                crc |= self.MSB_Mask
        return crc & self.Mask


    def bit_by_bit(self, in_data):
        """
        Classic simple and slow CRC implementation.  This function iterates bit
        by bit over the augmented input message and returns the calculated CRC
        value at the end.
        """
        # If the input data is a string, convert to bytes.
        if isinstance(in_data, str):
            in_data = [ord(c) for c in in_data]

        register = self.NonDirectInit
        for octet in in_data:
            for i in range(8):
                topbit = register & self.MSB_Mask
                register = ((register << 1) & self.Mask) | ((octet >> (7 - i)) & 0x01)
                if topbit:
                    register ^= self.Poly

        for i in range(self.Width):
            topbit = register & self.MSB_Mask
            register = ((register << 1) & self.Mask)
            if topbit:
                register ^= self.Poly

        return register ^ self.XorOut

        
class BootloaderTarget(TargetTemplate):
    _name = 'AES-CCM Bootloader'

    def __init__(self):
        TargetTemplate.__init__(self)

        ser_cons = pluginmanager.getPluginsInDictFromPackage("chipwhisperer.capture.targets.simpleserial_readers", True, False)
        self.ser = ser_cons[SimpleSerial_ChipWhispererLite._name]

        self.keylength = 16
        self.input = ""
        self.crc = Crc(width=16, poly=0x1021)
        self.setConnection(self.ser)

    def setKeyLen(self, klen):
        """ Set key length in BITS """
        self.keylength = klen / 8        
 
    def keyLen(self):
        """ Return key length in BYTES """
        return self.keylength

    def getConnection(self):
        return self.ser

    def setConnection(self, con):
        self.ser = con
        self.params.append(self.ser.getParams())
        self.ser.connectStatus.connect(self.connectStatus.emit)
        self.ser.selectionChanged()

    def con(self, scope=None):
        if not scope or not hasattr(scope, "qtadc"): Warning(
            "You need a scope with OpenADC connected to use this Target")

        self.ser.con(scope)
        # 'x' flushes everything & sets system back to idle
        self.ser.write("xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx")
        self.ser.flush()
        self.connectStatus.setValue(True)

    def close(self):
        if self.ser != None:
            self.ser.close()
        return

    def init(self):
        pass

    def setModeEncrypt(self):
        return

    def setModeDecrypt(self):
        return

    def convertVarToString(self, var):
        if isinstance(var, str):
            return var

        sep = ""
        s = sep.join(["%c" % b for b in var])
        return s

    def loadEncryptionKey(self, key):
        pass

    def loadInput(self, inputtext):
        self.input = inputtext

        framemsg = [0] * 16
        framemsg[15] = 1
        logging.debug("Sending header")
        self.sendBootloaderMessage(1, framemsg)
        logging.debug("Sending auth tag")
        self.sendBootloaderMessage(2, [0]*16)

    def readOutput(self):
        # No actual output
        return [0] * 16

    def isDone(self):
        return True

    def checkEncryptionKey(self, kin):
        return kin

    def go(self):
        logging.debug("Sending input data")
        self.sendBootloaderMessage(3, self.input)

    def sendBootloaderMessage(self, ftype, data):

        # Starting byte is 0x01, 0x02, or 0x03
        message = [ftype]

        # Append 16 bytes of data
        message.extend(data)

        # Append 2 bytes of CRC for input only (not including type)
        crcdata = self.crc.bit_by_bit(data)

        message.append(crcdata >> 8)
        message.append(crcdata & 0xff)

        # Write message
        message = self.convertVarToString(message)
        self.ser.flush()
        self.ser.write(message)
        time.sleep(0.05)
        data = self.ser.read(1)

        if len(data) > 0:
            resp = ord(data[0])
            if resp != 0xA4:
                raise IOError("Failed to communicate, last response: %x" % resp)
        else:
            raise IOError("Failed to communicate, no response")

@@ Line 151: / Line 151: @@
 In the event the AES-CTR nonce input is unknown, additional work is required (detailed below).
-=== Step #2: AES-CBC MAC Block #2 ===
+=== Step #2A: AES-CBC MAC Block #2 ===
 Repeating this for block #2 is exactly the same as before. Note you will need to perform a capture which triggers on the second block, which may require changes to the firmware source code.
 Once you recover Block #1, you can calculate <math>CBC_{m}</math>. Recovering block #2 means you could use <math>CBC_{m}</math> to determine <math>CTR_{m+1}</math>. Then you can decrypt <math>CTR_{m+1}</math> to determine the AES-CTR nonce format.
+=== Step #2B: AES-CTR Pad Output DPA ===
+As an alternative to doing the same thing on the second block, we can use a DPA attack to figure out the AES-CTR output pad.
 == Example Bootloader ==

Difference between revisions of "AES-CCM Attack"

Revision as of 04:44, 3 November 2016

Contents

AES-CCM Overview

Background on Attack

Breaking AES-CBC Encryption with unknown I.V.

Performing Attack

Building Example

Collecting Traces

Step #1: AES-CBC MAC Block #1

1-B: Finding interesting areas

1-C: Modified First-Round Key

1-D: True Second-Round Key

Step #2A: AES-CBC MAC Block #2

Step #2B: AES-CTR Pad Output DPA

Example Bootloader

Bootloader Interface Code

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