Communications of the ACM
A method for obtaining digital signatures and public-key cryptosystems
Communications of the ACM
Towards Sound Approaches to Counteract Power-Analysis Attacks
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
CRYPTO '99 Proceedings of the 19th Annual International Cryptology Conference on Advances in Cryptology
Timing Attacks on Implementations of Diffie-Hellman, RSA, DSS, and Other Systems
CRYPTO '96 Proceedings of the 16th Annual International Cryptology Conference on Advances in Cryptology
DES and Differential Power Analysis (The "Duplication" Method)
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
Resistance against Differential Power Analysis for Elliptic Curve Cryptosystems
CHES '99 Proceedings of the First International Workshop on Cryptographic Hardware and Embedded Systems
Universal Exponentiation Algorithm
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
Electromagnetic Analysis: Concrete Results
CHES '01 Proceedings of the Third International Workshop on Cryptographic Hardware and Embedded Systems
Randomized Signed-Scalar Multiplication of ECC to Resist Power Attacks
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Address-Bit Differential Power Analysis of Cryptographic Schemes OK-ECDH and OK-ECDSA
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
On the importance of checking cryptographic protocols for faults
EUROCRYPT'97 Proceedings of the 16th annual international conference on Theory and application of cryptographic techniques
Provably secure countermeasure resistant to several types of power attack for ECC
WISA'07 Proceedings of the 8th international conference on Information security applications
An updated survey on secure ECC implementations: attacks, countermeasures and cost
Cryptography and Security
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Exponent splitting is a classical technique to protect modular exponentiation against side-channel attacks. Although it is rarely implemented due to efficiency reasons, it is widely considered as a highly-secure solution. Therefore it is often used as a reference to benchmark new countermeasure proposals. In this paper, we make new observations about the statistical behavior of the splitting of the exponent. We look at the correlations between the two shares, and show an important imbalance. Later, we show how to use this imbalance in higher-order attacks (mostly based on address-bit, safe-error and fault analysis). We also present experimental results to estimate their feasibility.