[Resource Topic] 2005/419: Unified Point Addition Formulæ and Side-Channel Attacks

Welcome to the resource topic for 2005/419

Unified Point Addition Formulæ and Side-Channel Attacks

Authors: Douglas Stebila, Nicolas Thériault


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.

ePrint: https://eprint.iacr.org/2005/419

See all topics related to this paper.

Feel free to post resources that are related to this paper below.

Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.

For more information, see the rules for Resource Topics .