Handbook of Applied Cryptography
Handbook of Applied Cryptography
Distinguishing Exponent Digits by Observing Modular Subtractions
CT-RSA 2001 Proceedings of the 2001 Conference on Topics in Cryptology: The Cryptographer's Track at RSA
MIST: An Efficient, Randomized Exponentiation Algorithm for Resisting Power Analysis
CT-RSA '02 Proceedings of the The Cryptographer's Track at the RSA Conference on Topics 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
Power Analysis Attacks of Modular Exponentiation in Smartcards
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
A Timing Attack against RSA with the Chinese Remainder Theorem
CHES '00 Proceedings of the Second International Workshop on Cryptographic Hardware and Embedded Systems
A DPA Attack against the Modular Reduction within a CRT Implementation of RSA
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
SPA-Based Adaptive Chosen-Ciphertext Attack on RSA Implementation
PKC '02 Proceedings of the 5th International Workshop on Practice and Theory in Public Key Cryptosystems: Public Key Cryptography
DPA Countermeasures by Improving the Window Method
CHES '02 Revised Papers from the 4th International Workshop on Cryptographic Hardware and Embedded Systems
Security as a new dimension in embedded system design
Proceedings of the 41st annual Design Automation Conference
Highly Regular Right-to-Left Algorithms for Scalar Multiplication
CHES '07 Proceedings of the 9th international workshop on Cryptographic Hardware and Embedded Systems
Mycrypt'05 Proceedings of the 1st international conference on Progress in Cryptology in Malaysia
High-resolution side-channel attack using phase-based waveform matching
CHES'06 Proceedings of the 8th international conference on Cryptographic Hardware and Embedded Systems
Exponent Recoding and Regular Exponentiation Algorithms
AFRICACRYPT '09 Proceedings of the 2nd International Conference on Cryptology in Africa: Progress in Cryptology
Horizontal correlation analysis on exponentiation
ICICS'10 Proceedings of the 12th international conference on Information and communications security
An updated survey on secure ECC implementations: attacks, countermeasures and cost
Cryptography and Security
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This paper proposes new chosen-message power-analysis attacks against public-key cryptosystems based on modular exponentiation, which use specific input pairs to generate collisions between squaring operations at different locations in the two power traces. Unlike previous attacks of this kind, the new attacks can be applied to all the standard implementations of the exponentiation process: binary (left-to-right and right-to-left), m-ary, and sliding window methods. The SPA countermeasure of inserting dummy multiplications can also be defeated (in some cases) by using the proposed attacks. The effectiveness of the attacks is demonstrated by actual experiments with hardware and software implementations of RSA on an FPGA and the PowerPC processor, respectively. In addition to the new collision generation methods, a high-accuracy waveform matching technique is introduced to detect the collisions even when the recorded signals are noisy and the clock has some jitter.