Cryptology ePrint Archive: Report 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.
Category / Keywords: public-key cryptography / elliptic curve cryptosystem
Date: received 18 Nov 2005
Contact author: ntheriau at math uwaterloo ca
Available format(s): PDF | BibTeX Citation
Version: 20051121:080648 (All versions of this report)
Short URL: ia.cr/2005/419
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