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Frequency Domain Horizontal Cross Correlation Analysis of RSAAKALP KUZU, E.   , TANGEL, A. , ORS YALCIN, S. B. |
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Author keywords
ciphers, classification algorithms, data security, leakage currents, public key cryptography
References keywords
analysis(17), power(14), correlation(12), attack(11), systems(10), embedded(9), attacks(9), hardware(8), cryptographic(8), information(6)
Blue keywords are present in both the references section and the paper title.
About this article
Date of Publication: 2022-05-31
Volume 22, Issue 2, Year 2022, On page(s): 3 - 10
ISSN: 1582-7445, e-ISSN: 1844-7600
Digital Object Identifier: 10.4316/AECE.2022.02001
Web of Science Accession Number: 000810486800001
SCOPUS ID: 85131767163
Abstract
This study shows that a previously published cross correlation based power analysis (CCPA) attack applied to the Montgomery Ladder exponentiation steps of a Rivest Shamir Adleman (RSA) implementation can be improved by working in frequency domain. It is shown that utilizing cross correlation values of discrete Fourier transform (DFT) coefficients instead of time samples, requires lesser power traces to retrieve the key bits of the target implementation. In addition, instead of using DFT coefficients corresponding to the whole measured frequency band, using a few DFT coefficients corresponding to lower bands, even under the first harmonic of the target clock is also an improving factor on the performance of the CCPA. Practical and theoretical results are also compared to both domains. To the best of our knowledge, this is the first study to show the frequency domain applicability and superiorities in terms of horizontal CCPA type attacks. |
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| [1] P. C. Kocher, "Timing attacks on implementations of Diffie-Hellman, RSA, DSS, and other systems," Annual International Cryptology Conference, pp. 104-113, August 1996. [CrossRef] [SCOPUS Times Cited 3316] [2] P. C. Kocher, J. Jaffe, B. Jun, P. Rohatgi, "Introduction to differential power analysis," J Cryptogr Eng 1, 5-27, 2011. [CrossRef] [Web of Science Times Cited 366] [SCOPUS Times Cited 478] [3] T. S. Messerges, E. A. Dabbish, R. H. Sloan, "Investigations of power analysis attacks on smartcards," Smartcard 99, 151-161, 1999. [4] T. S. Messerges, E. A. Dabbish, R. H. Sloan, "Power analysis attacks of modular exponentiation in smartcards," International Workshop on Cryptographic Hardware and Embedded Systems, pp. 144-157, August 1999. [CrossRef] [SCOPUS Times Cited 282] [5] K. Itoh, T. Izu, M. Takenaka, "A Practical countermeasure against address-bit differential power analysis," Cryptographic Hardware and Embedded Systems 2003. [CrossRef] [SCOPUS Times Cited 47] [6] E. De Mulder, S. B. Ors, B. Preneel, I. Verbauwhede, "Differential power and electromagnetic attacks on a FPGA implementation of elliptic curve cryptosystems," Computers & Electrical Engineering, 33(5-6), 367-382, 2007. [CrossRef] [SCOPUS Times Cited 80] [7] E. Brier, C. Clavier, F. Olivier, "Correlation Power Analysis with a Leakage Model," Cryptographic Hardware and Embedded Systems - CHES, 2004. [CrossRef] [Web of Science Times Cited 1518] [SCOPUS Times Cited 1915] [8] F. Amiel, B. Feix, K. Villegas, "Power analysis for secret recovering and reverse engineering of public key algorithms," International Workshop on Selected Areas in Cryptography, pp. 110-125, August 2007. [CrossRef] [SCOPUS Times Cited 60] [9] C. D. Walter, "Sliding windows succumbs to big mac attack," International Workshop on Cryptographic Hardware and Embedded Systems, pp. 286-299, May 2001. [CrossRef] [SCOPUS Times Cited 60] [10] P. A. Fouque, F. Valette, "The doubling attack-why upwards is better than downwards," International Workshop on Cryptographic Hardware and Embedded Systems, pp. 269-280, September 2003. [CrossRef] [SCOPUS Times Cited 166] [11] E. Akalp Kuzu, A. Tangel, "A new style CPA attack on the ML implementation of RSA," International Computer Science and Engineering Conference, pp. 323-328, July 2014. [CrossRef] [SCOPUS Times Cited 13] [12] E. Akalp Kuzu, A. Tangel, "Correlation template matching CPA method," Electronics Letters, 52(15), 1306-1308, 2016. [CrossRef] [Web of Science Times Cited 3] [SCOPUS Times Cited 4] [13] C. Clavier, B. Feix, G. Gagnerot, M. Roussellet, V. Verneuil, "Horizontal correlation analysis on exponentiation," Information and Communications Security, ICICS, 2010. [CrossRef] [SCOPUS Times Cited 139] [14] M. F. Witteman, J. G. J. van Woudenberg, F. Menarini, "Defeating RSA multiply-always and message blinding countermeasures," Topics in Cryptology, 2011. [CrossRef] [SCOPUS Times Cited 66] [15] E. Akalp Kuzu, B. Soysal, M. Sahinoglu, U. Guvenc, A. Tangel, "New cross correlation attack methods on the Montgomery Ladder implementation of RSA," IEEE International Advance Computing Conference- IACC, pp. 138-142, 2013. [CrossRef] [SCOPUS Times Cited 15] [16] E. Akalp Kuzu, A. Tangel, "All bits cross correlation attack on the Montgomery Ladder implementation of RSA," Digital Signal Processing, pp. 1-5, 2013. [CrossRef] [17] A. Bauer, E. Jaulmes, E. Prouff, J. R. Reinhard, J. Wild, "Horizontal collision correlation attack on elliptic curves," Cryptography and Communications", pp:7(1), 91-119, 2015, [CrossRef] [Web of Science Times Cited 32] [SCOPUS Times Cited 40] [18] H. Kim, T. H. Kim, J. C. Yoon, S. Hong, "Practical second-order correlation power analysis on the message blinding method and its novel countermeasure for RSA," ETRI Journal, 32(1):102-111, February 2010. [CrossRef] [Web of Science Times Cited 19] [SCOPUS Times Cited 26] [19] W. Wunan, Y. Wei, C. Jun, "An optimized cross correlation power attack of message blinding exponentiation algorithms," China Communications, Volume 12, Issue 6, pp. 22-32, 2015. [CrossRef] [Web of Science Times Cited 2] [SCOPUS Times Cited 3] [20] H. Wang, G. Wei, W. Jizeng, "Practical chosen-message CPA attack on message blinding exponentiation algorithm and its efficient countermeasure," World Wide Web 21.1, 201-217, 2018. [CrossRef] [Web of Science Times Cited 2] [SCOPUS Times Cited 2] [21] W. Wan, J. Chen, S. Zhang, J. Xia, "A cluster correlation power analysis attack against modular exponentiation based on double masking scheme," Journal of University of Electronic Science and Technology of China, 47(4)588-594, 2018. [CrossRef] [Web of Science Times Cited 13] [SCOPUS Times Cited 14] [22] M. Aftowicz, D. Klann, I. Kabin, Z. Dyka, P. Langendorfer, "Extended horizontal SCA attack using clustering algorithm. In: Gazdag, S.-L., Loebenberger, D. & Nusken, M. (Hrsg.), crypto day matters 32. [CrossRef] [23] G. Perin, L. Chmielewski, L.Batina, S. Picek, "Keep it unsupervised: horizontal attacks meet deep learning," IACR Transactions on Cryptographic Hardware and Embedded Systems, pp. 343-372, 2021. [CrossRef] [SCOPUS Times Cited 32] [24] P. L. Montgomery, "Montgomery. speeding the Pollard and elliptic curve methods of factorization," Mathematics of Computation, p. 48(177), 243-264, 1987. [CrossRef] [SCOPUS Times Cited 916] [25] R. L. Rivest, A.Shamir, L. Adleman, "A method for obtaining digital signatures and public-key cryptosystems," Communications of the ACM, pp:26(1), 96-99, 1983. [CrossRef] [Web of Science Times Cited 8379] [SCOPUS Times Cited 12110] [26] E. Mateos, C. H. Gebotys, "A new correlation frequency analysis of the side channel," Proceedings of the 5th Workshop on Embedded Systems Security, pp. 1-8, 2010. [CrossRef] [SCOPUS Times Cited 25] [27] E. Bohl, J. Hayek, O. Schimmel, P. Duplys, W. Rosenstiel, "Correlation power analysis in frequency-domain," COSADE, pp. 1-3, 2010. [CrossRef] [SCOPUS Times Cited 25] [28] C. H. Gebotys, S. Ho, C. C. Tiu, "EM analysis of Rijndael and ECC on a wireless java-based PDA," Lecture Notes in Computer Science, pp. 250-264, 2005. [CrossRef] [SCOPUS Times Cited 4] [29] S. Tiran, P. Maurine, "SCA with magnitude squared coherence," Smart Card Research and Advanced Applications, 2012. [CrossRef] [SCOPUS Times Cited 4] [30] A. Barenghi, G. Pelosi, Y. Teglia, "Improving first order differential power attacks through digital signal processing," Proceedings of the 3rd international conference on Security of information and networks, pp. 124-133, September 2010. [CrossRef] [SCOPUS Times Cited 4] [31] A. Barenghi, G. Pelosi, Y. Teglia, "Information leakage discovery techniques to enhance secure chip design," International Workshop on Information Security Theory and Practices, pp. 128-143, June 2011. [CrossRef] [SCOPUS Times Cited 22] [32] S. Tiran, S. Ordas, Y. Teglia, M. Agoyan, P. Maurine, "A frequency leakage model and its application to CPA and DPA," IACR Cryptology ePrint Archive, p. 278, 2013. [CrossRef] [Web of Science Times Cited 8] [SCOPUS Times Cited 11] [33] P. Belgarric, S. Bhasin, N. Bruneau, J. L. Danger, N. Debande, S. Guilley, O. Rioul, "Time-frequency analysis for second-order attacks," International Conference on Smart Card Research and Advanced Applications, pp. 108-122, November 2013. [CrossRef] [Web of Science Times Cited 17] [SCOPUS Times Cited 21] [34] E. Hatun, G. Kaya, E. Buyukkaya, B. O. Yalcin, "Side channel analysis using EM radiation of RSA algorithm implemented on Raspberry Pi," International Symposium on Networks, Computers and Communications (ISNCC), pp. 1-6, June 2019. [CrossRef] [SCOPUS Times Cited 4] [35] W. Diffie, M. E. Hellman, "New directions in cryptography," IEEE Transactions on Information Theory, 22(6), 644-654, 1976. [CrossRef] [Web of Science Times Cited 7482] [SCOPUS Times Cited 10429] [36] FIPS PUB 186-3. Digital Signature Standard, National Institute of Standards and Technology, Gaithersburg, October 2009. [CrossRef] [37] J. S. Coron, "Resistance against differential power analysis for elliptic curve cryptosystems," Cryptographic Hardware and Embedded Systems, August 1999. [CrossRef] [SCOPUS Times Cited 786] [38] S. M. Yen, S. J. Kim, S. G. Lim and S. J. Moon, "A countermeasure against one physical cryptanalysis may benefit another attack," Proceedings of Information Security and Cryptology, 2288, 414-427, 2002. [CrossRef] [39] M. Joye, S.-M. Yen, "The Montgomery Powering Ladder," Cryptographic hardware and embedded systems CHES 2002, Lecture Notes in Computer Science, vol 2523, pp. 8-10, Berlin, September 2003. [CrossRef] [SCOPUS Times Cited 376] [40] S. Mangard, E. Oswald, T. Popp, "Power analysis attacks, revealing secrets of the smart cards," pp. 20, 2006. [CrossRef] [41] D. Pandini, G. A. Repetto, I. Sinisi, "Clock distribution techniques for low-EMI design," Lecture Notes in Computer Science, pp. 201-210, 2007. [CrossRef] [SCOPUS Times Cited 14] [42] P. Belgarric, S. Bhasin, N. Bruneau, J. L. Danger, N. Debande, S. Guilley, O. Rioul, "Time-frequency analysis for second-order attacks," International Conference on Smart Card Research and Advanced Applications, pp. 108-122, November 2013. [CrossRef] [Web of Science Times Cited 17] [SCOPUS Times Cited 21] [43] A. Donner, B. Rosner, "On inferences concerning a common correlation coefficient," Journal of the Royal Statistical Society, 1980. 29(1), 69-76, [CrossRef] Web of Science® Citations for all references: 17,858 TCR SCOPUS® Citations for all references: 31,530 TCR Web of Science® Average Citations per reference: 406 ACR SCOPUS® Average Citations per reference: 717 ACR TCR = Total Citations for References / ACR = Average Citations per Reference We introduced in 2010 - for the first time in scientific publishing, the term "References Weight", as a quantitative indication of the quality ... Read more Citations for references updated on 2024-11-20 08:21 in 285 seconds. Note1: Web of Science® is a registered trademark of Clarivate Analytics. Note2: SCOPUS® is a registered trademark of Elsevier B.V. Disclaimer: All queries to the respective databases were made by using the DOI record of every reference (where available). Due to technical problems beyond our control, the information is not always accurate. 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Faculty of Electrical Engineering and Computer Science
Stefan cel Mare University of Suceava, Romania
All rights reserved: Advances in Electrical and Computer Engineering is a registered trademark of the Stefan cel Mare University of Suceava. No part of this publication may be reproduced, stored in a retrieval system, photocopied, recorded or archived, without the written permission from the Editor. When authors submit their papers for publication, they agree that the copyright for their article be transferred to the Faculty of Electrical Engineering and Computer Science, Stefan cel Mare University of Suceava, Romania, if and only if the articles are accepted for publication. The copyright covers the exclusive rights to reproduce and distribute the article, including reprints and translations.
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Disclaimer: Whilst every effort is made by the publishers and editorial board to see that no inaccurate or misleading data, opinions or statements appear in this journal, they wish to make it clear that all information and opinions formulated in the articles, as well as linguistic accuracy, are the sole responsibility of the author.
