Randomized Signed-Scalar Multiplication of ECC to Resist Power Attacks JaeCheol Ha * and SangJae...
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Transcript of Randomized Signed-Scalar Multiplication of ECC to Resist Power Attacks JaeCheol Ha * and SangJae...
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1996
1998
Timing Attacks in Crypto ’96 Paul C. Kocher
Differential Power Analysis in CRYPTO ’99
Paul C. Kocher, et al
2000
Practical Implementation of Timing Attack in CARDIS ’98
J. F. Dhem
Power Analysis Attacks of Modular Exponentiation in CHES’99
T. S. Messerges, et al
Timing attack
Power analysis attack
2002
Resistance against DPA for ECC in CHES’99 J. S. Coron
Randomized Addition-Subtraction Chains against PA in CHES’01E. Oswald et al
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’ ’
’
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}1,0{ ,2
1
0
n
i ii
i kkk
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–{
+ }
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–{ } Return Q[0]
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}1,0,1{ ,20
n
i ii
i ddd
1
|d|
–{
} Q
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––
11
1 1
1
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0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 1 0 0 1 1 1 0 1 0 0 0 1 0 1 0 1 1 0 1 1 0 1 0 0 1 1 1 1 0 1 0 0 0 0 0 1 0 0 1 0 0 1 0 1 0 1 1 0 1 1 0 1 1 1 0 0 1 1 1 0 1 0 1 1 1 1 0 1 0 1 1 1 1 1 0
1
1
1
1
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– +
– –
1 1
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1 1
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1
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–{ } Return Q[0]
}1,0,1{ ,20
n
i ii
i ddd
1
1
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’’
=|r| (
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Data signal
Response
Control signal
Trigger
signal
Control signal
Measuring
signal
Card reader
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………
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