analysis of a fault injection mechanism related to voltage...
TRANSCRIPT
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Analysis of a fault injection mechanism related to voltage glitches using an on-chip voltmeter
•Loïc ZUSSA •Jean-Max DUTERTRE
•Jessy CLEDIERE •Bruno ROBISSON
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“Cryptanalysis of secure circuits by physical fault injections”
• Analysis of fault injection mechanisms related to non-invasive physical disturbances
2
Thesis subject
In this presentation
• Analysis of fault injection mechanism related to voltage glitches
• Injection temporal resolution improving
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D Q
clk
data n n
Dffi
vdd : core voltage
D Dffi+1
Q
Under-powering a synchronous circuit make its calculation time longer
If the calculation time is longer than the clock period => faults are injected ¾ DFFs sample data which are not up-to-date
The longest calculation time is called the critical time
Previous work
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Static under-powering leads to timing constraint violation by increasing the calculation times of all the calculation rounds
¾ Identical faults injected on an AES using overclocking and underpowering
Previous work
Note :
Underpowering the circuit make the calculation times longer A fault is injected in the most critical one due to timing constraint violation
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Transient under-powering also leads to timing constraint violation by increasing the calculation time of a specific round
¾ Identical faults injected on an AES using clock and negative voltage glitches
Previous work
Note :
Most of the time a fault is injected in the targeted round due to timing constraint violation Low temporal accuracy due to signal filtering ?
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Transient over-powering also leads to FAULTS injection But it seems inconsistent with timing constraint violation
Motivations
?
On-chip Voltmeter : • To observe the voltage inside the circuit • To understand the fault injection mechanism related to positive
voltage glitches
“Sensing nanosecond-scale voltage attacks and natural transients in FPGAs” - FPGA 2013
ZICK Kenneth M. ; SRIVASTAV, Meeta ; ZHANG, Wei
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• Voltmeter Principle and implementation
• Internal disturbances observation Fault injection characterization
• Internal disturbances shaping
Fault injection improvement
• Conclusion
7
Agenda
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CLK
1,2 Volt = core voltage : vdd delay
A delay-meter
Propagation times increase when the core voltage decreases
Measuring a propagation time is equivalent to measuring the core voltage
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CLK
1,0 Volt = core voltage : vdd delay
Propagation times increase when the core voltage decreases
Measuring a propagation time is equivalent to measuring the core voltage
A delay-meter
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CLK
1,2 Volt = core voltage : vdd ∆d delay
Time to digital converter
The time-to-digital converter measures a phase distance between two signals
delay + 1 * ∆d < clock period
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CLK
1,2 Volt = core voltage : vdd ∆d delay
The time-to-digital converter measures a phase distance between two signals
delay + 2 * ∆d < clock period
∆d
Time to digital converter
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CLK
1,2 Volt = core voltage : vdd
∆d
∆d
∆d delay
Time to digital converter
The time-to-digital converter measures a phase difference between two signals
delay + 3 * ∆d > clock period
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CLK
1,2 Volt = core voltage : vdd
∆d
∆d
∆d delay
When undergoing a glitch injection
delay + 2 * ∆d < clock period delay + 3 * ∆d > clock period
code = ‘1110’
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CLK
1,0 Volt = core voltage : vdd
delay + 1 * ∆d < clock period delay + 2 * ∆d > clock period
∆d
∆d
∆d code = ‘1100’
delay
When undergoing a glitch injection
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D Q CLK 1 1
D Q 1
D Q 1
D Q 1
vdd
Library : voltage <> code binary code
voltage variations from 0,7V to 2,5V step 0,05V
0,5 volt voltage
0,7 volt
2 “linear” zones => resolution ~ 0,07V 1 “blind” zone
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4 voltmeters implemented : different delays due to within-die process variations
Only one “linear” zones => resolution improving
No “blind” zone
binary code
voltage
Library : voltage <> code
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spartan 3A FSM
Voltmeter
1 1 0 0 0
Shift Register
200 MHz core voltage
nominal voltage
x4
Acquisition setup
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spartan 3A FSM
Voltmeter
1 1 1 0 0
Shift Register
200 MHz ??? Volt
Known injected glitch
x4
Acquisition setup
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spartan 3A FSM RS-232
Voltmeter
1 1 1 0 0
Shift Register
200 MHz ??? Volt
Computer
Library Code Ù Voltage
Waveform
Known injected glitch View of the effective
disturbance
x4
Acquisition setup
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Pulse generator variables :
1. DC offset (Volts) 2. Amplitude (Volts) 3. Width (ns) 4. Delay (ns)
voltage
time
4
2
3 1
Glitches injection setup
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amplitude : -14V width : 400ns
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Expectation : Filtered signal due to the input capacitances
Negative voltage glitch : what I expected
400 ns
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amplitude : -14V width : 400ns
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Observation :
2 sets of damping oscillations
Effective disturbances are due to the rising/falling edges of the injected voltage
400 ns
Negative voltage glitch : what it is !
0,4 Volt
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amplitude : +14V width : 400ns
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Observation :
Positive glitches injection also produce negative disturbances due to the rising/falling edges of the injected voltage Fault injection mechanism could also be related to timing constraint violation ?
400 ns
Glitches injection setup Positive voltage glitch
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spartan 3A
AES
110ns 330ns
Glitches injection setup Fault injection target
Target
AES 128bit - 100MHz Fault injection synchronization
Trig signal 330 ns before the AES calculation
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spartan 3A
trigger
AES
110ns 330ns
Glitch generator
Injected glitch
Amplitude (Volts) Width (ns)
Variables
DC offset from 1,4 to 1,1 Volts Delay from 170 to 330 ns
Glitches injection setup Fault injection protocol
AES 128bit : 11 rounds - 100MHz
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FPGA : spartan 3A
AES
110ns 330ns
expected cipher text
AES
delay
DC offset
Glitches injection setup Fault injection protocol
AES 128bit : 11 rounds - 100MHz
DC offset from 1,4 to 1,1 Volts
Delay from 170 to 330 ns
trigger
Glitch generator
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FPGA : spartan 3A
AES
AES
delay
DC offset
110ns 330ns
Fault injection protocol
AES 128bit : 11 rounds - 100MHz
DC offset from 1,4 to 1,1 Volts
Delay from 170 to 330 ns
trigger
Glitch generator
expected cipher text
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FPGA : spartan 3A
AES
AES
delay
DC offset
110ns 330ns
Fault injection protocol
AES 128bit : 11 rounds - 100MHz
DC offset from 1,4 to 1,1 Volts
Delay from 170 to 330 ns
trigger
Glitch generator
unexpected cipher text
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FPGA : spartan 3A
AES
110ns 330ns
expected cipher text
AES
delay
DC offset
Glitches injection setup Fault injection protocol
AES 128bit : 11 rounds - 100MHz
DC offset from 1,4 to 1,1 Volts
Delay from 170 to 330 ns
trigger
Glitch generator
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FPGA : spartan 3A
AES
AES
delay
DC offset
110ns 330ns
Fault injection protocol
AES 128bit : 11 rounds - 100MHz
DC offset from 1,4 to 1,1 Volts
Delay from 170 to 330 ns
trigger
Glitch generator
expected cipher text
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FPGA : spartan 3A
AES
AES
delay
DC offset
110ns 330ns
Fault injection protocol
AES 128bit : 11 rounds - 100MHz
DC offset from 1,4 to 1,1 Volts
Delay from 170 to 330 ns
trigger
Glitch generator
unexpected cipher text
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delay
DC offset
faulted round
Negative voltage glitch characterization
amplitude : -14V width : 400ns
AES
delay
DC offset
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amplitude : -14V width : 400ns
AES
delay
DC offset
Observation :
R3 wasn’t faulted The negative disturbance is too large Faults were injected in R2 or R4 first
?
Negative voltage glitch characterization
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amplitude : +14V width : 400ns
AES
delay
DC offset
Observation :
R3 was faulted BUT R6 wasn’t !
Positive voltage glitch characterization
?
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� Same injected faults
� Same fault injection mechanism
(-14V | 400ns) (+14V | 400ns)
Injected faults comparison
� Different temporal accuracy
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Positive voltage glitches - Fault injection mechanism
Effective disturbances are damping oscillations due to the rising and falling edges of the injected glitch
For different plaintexts and keys of the AES, positive and negative voltage glitches induced exactly the same faults
Negative and positive glitches share the same fault injection mechanism : timing constraint violation
Due to their different shape, positive and negative voltage glitches have slightly different temporal accuracy
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amplitude : -14V width : 100ns
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Observation : Positive oscillations due to the rising edge negative oscillations due to the falling edge ¾ Only one significant
negative spike
COMPENSATE
100 ns
Offsetting
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amplitude : +8V width : 50ns
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Observation : Negative oscillations due to the rising edge and due to the falling edge are ¾ More efficient glitch
injection
SYNCHRONIZED
50 ns
Addition
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(-14V | 100ns) : compensation (+8V | 50ns) : synchronization
� Same injected faults � Same temporal accuracy
Injected faults comparison
? ?
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amplitude : -22V width : 10ns
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Observation : Negative oscillation due to the falling edge is by the positive oscillation due to the rising edge ¾ More accurate glitch
injection
SHORTEN
10 ns
Sharping
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amplitude : -22V width : 10ns
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Observation : Negative oscillation due to the falling edge is by the positive oscillation due to the rising edge ¾ More accurate glitch
injection
SHARPED
! Two significant oscillations
• unexpected faults can be injected…
Sharping
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(-22V | 10ns) : sharping
Injected faults comparison
� Same injected faults � Very good temporal accuracy
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~90 ns
~90 ns
(-22V | 10ns) : sharping
Injected faults comparison
� Same injected faults � Very good temporal accuracy
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44 time
injected voltage
• A short glitch to shorten the first oscillation
• A long glitch to compensate the remaining oscillations
core voltage
Fault injection mechanism
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Fault injection mechanism & glitch shaping
Effective disturbances are damping oscillations due to the rising and falling edges of the injected glitch
Negative and positive glitches share the same fault injection mechanism : timing constraint violation
Damping oscillations due to the rising and falling edges of one or several injected glitches can be “superimposed” to shape the effective disturbance
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ZUSSA Loïc PhD Student
Secure integrated circuits and physical fault injections
[email protected] +33 (0)4.42.61.67.12 880 route de Mimet 13541 Gardanne - FRANCE
Presentation available on loic.zussa.fr/publications