Paper 2005/419
Unified Point Addition Formulæ and Side-Channel Attacks
Douglas Stebila and Nicolas Thériault
Abstract
The successful application to elliptic curve cryptography of side-channel attacks, in which information about the secret key can be recovered from the observation of side channels like power consumption or timing, has motivated the recent development of unified formulæ for elliptic curve point operations. In this paper, we give a version of a previously-developed family of unified point addition formulæ that uses projective coordinates for improved efficiency. We discuss the applicability of a recent attack by Walter on this family of projective formulæ and describe how the field arithmetic can be implemented to obtain fully unified formulæ and avoid this type of attack.
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- elliptic curve cryptosystem
- Contact author(s)
- ntheriau @ math uwaterloo ca
- History
- 2005-11-21: received
- Short URL
- https://ia.cr/2005/419
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2005/419,
author = {Douglas Stebila and Nicolas Thériault},
title = {Unified Point Addition Formulæ and Side-Channel Attacks},
howpublished = {Cryptology ePrint Archive, Paper 2005/419},
year = {2005},
note = {\url{https://eprint.iacr.org/2005/419}},
url = {https://eprint.iacr.org/2005/419}
}
