NDLI: A novel fault attack against ECDSA

Content Provider	IEEE Xplore Digital Library
Author	Barenghi, A. Bertoni, G. Palomba, A. Susella, R.
Copyright Year	2011
Description	Author affiliation: STMicroelectronics, 20041 Agrate Brianza (MB), Italy (Bertoni, G.; Susella, R.) \|\| Dipartimento di Elettronica e Informazione, Politecnico di Milano, 20133 Milano (MI), Italy (Barenghi, A.; Palomba, A.)
Abstract	A novel fault attack against ECDSA is proposed in this work. It allows to retrieve the secret signing key, by means of injecting faults during the computation of the signature primitive. The proposed method relies on faults injected during a multiplication employed to perform the signature recombination at the end of the ECDSA signing algorithm. Exploiting the faulty signatures, it is possible to reduce the size of the group of the discrete logarithm problem warranting the security margin up to a point where it is computationally treatable. The amount of faulty signatures requested to perform the attack is relatively small, ranging from 4 to a few tenths. The key retrieval can be applied to any key length, like those standardised by NIST, including the ones mandated for top secret documents by NSA suite B. The required post processing of the obtained faulty values is practical on a common consumer grade desktop. The procedure does not rely on any particular structure of the employed curve and may easily be extended to the regular DSA based on modular arithmetics.
Starting Page	161
Ending Page	166
File Size	289914
Page Count	6
File Format	PDF
ISBN	9781457710599
e-ISBN	9781457710582
DOI	10.1109/HST.2011.5955015
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-06-05
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Elliptic curves Elliptic curve cryptography Generators Mathematical model Equations
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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