Paper 2003/013 Original: eprint.iacr.org/2003/013 ↗

Security Constraints on the Oswald-Aigner Exponentiation Algorithm

Colin D. Walter
Abstract

In smartcard encryption and signature applications, randomized algorithms can be used to increase tamper resistance against attacks based on averaging data-dependent power or EMR variations. Recently, Oswald and Aigner described such an algorithm suitable for point multiplication in elliptic curve cryptography (ECC). With the assumption that an attacker can identify additions and doublings and distinguish them from each other during a single point multiplication, it is shown that the algorithm is insecure for repeated use of the same secret key without blinding of that key. This scotches hopes that the expense of such blinding might be avoided by using the algorithm unless the differences between point additions and doublings can be obscured successfully.

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2003-01-22: last updated
2003-01-22: published
Short URL
https://ia.cr/2003/013
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2003/013,
      author = {Colin D.  Walter},
      title = {Security Constraints on the Oswald-Aigner Exponentiation Algorithm},
      howpublished = {Cryptology {ePrint} Archive, Paper 2003/013},
      year = {2003},
      url = {https://eprint.iacr.org/2003/013}
}
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