Eliptické k?ivky a techniky ochran proti útok?m z postranních kanál?
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.