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Machine Learning-Based Profiling Attack Method in RSA Prime Multiplication

Published: 27 September 2021 Publication History

Abstract

In this paper, we propose a machine learning-based profiling attack on the prime multiplication operation of RSA's key generation algorithm. The proposed attack takes advantage of the fact that a prime word value, which is the data storage unit, is loaded in the process of the multiplication operation for generating a modulus. We selected a commonly used product-scanning method as a multiplication algorithm. Then we collected the power consumption traces and constructed a profile of the secret prime value based on machine learning. In addition, the success rate of the attack was measured within a single trace to perform a realistic attack during the key generation operation. The secret prime values were derived with a maximum success rate of 99.8% in a single trace. Based on this, this paper suggests that if the secret value is an operand of the multiplication operation, there may be vulnerability against side-channel attacks because of the characteristics of the multiplication algorithm.1

References

[1]
KIM, H., HAN, D. G., HONG, S. AND Ha, J. 2014. Message blinding method requiring no multiplicative inversion for RSA. In ACM Transactions on Embedded Computing Systems (TECS), 1--10.
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LIU, Z., GROßSCHÄDL, J. AND KIZHVATOV, I. 2010. Efficient and side-channel resistant RSA implementation for 8-bit AVR microcontrollers. In Workshop on the Security of the Internet of Things-SOCIOT, (Vol. 10).
[3]
FINKE, T., GEBHARDT, M. AND SCHINDLER, W. 2009. A new side-channel attack on RSA prime generation. In International Workshop on Cryptographic Hardware and Embedded Systems, (Berlin, Heidelberg), Springer, p. 141--155.
[4]
BAUER, A., JAULMES, E., LOMNE, V., PROUFF, E., AND ROCHE, T. 2014. Side-channel attack against RSA key generation algorithms. In International Workshop on Cryptographic Hardware and Embedded Systems (Berlin, Heidelberg), Springer, pp. 223--241.
[5]
CABRERA A., A., CUIMAN M., R., CABRERA S., A. J., and SANCHEZ-S., S. 2017. Side-channel analysis of the modular inversion step in the RSA key generation algorithm. International Journal of Circuit Theory and Applications, 45(2), 199--213.
[6]
HOSPODAR, G., GIERLICHS, B., DE MULDER, E., VERBAUWHEDE, I. and VANDEWALLE, J. 2011. Machine learning in side-channel analysis: a first study. Journal of Cryptographic Engineering, 1(4), 293.
[7]
MARTINASEK, Z. and ZEMAN, V. 2013. Innovative method of the power analysis. Radioengineering, 22(2), 586--594.
[8]
HUTTER, M. AND WENGER, E. 2011. Fast multi-precision multiplication for public-key cryptography on embedded microprocessors. In International Workshop on Cryptographic Hardware and Embedded Systems, (Berlin, Heidelberg), Springer, pp. 459--474.
[9]
Comba, P. G. 1990. Exponentiation cryptosystems on the IBM PC. IBM Systems Journal, 29(4), 526--538.

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  1. Machine Learning-Based Profiling Attack Method in RSA Prime Multiplication

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    cover image ACM Conferences
    ACM ICEA '20: Proceedings of the 2020 ACM International Conference on Intelligent Computing and its Emerging Applications
    December 2020
    219 pages
    ISBN:9781450383042
    DOI:10.1145/3440943
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Published: 27 September 2021

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    Author Tags

    1. Machine Learning-Based Profiling Attack
    2. Prime Multiplication
    3. RSA key generation
    4. Side-Channel Attack
    5. Single-Trace Attack

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