@proceedings{CHES2006, Booktitle = {Cryptographic Hardware and Embedded Systems (CHES) 2006}, Editor = {Louis Goubin and Mitsuru Matsui}, Publisher = {Springer}, Series = {LNCS}, Title = {Cryptographic Hardware and Embedded Systems (CHES) 2006}, Volume = {4249}, Year = {2006}} @inproceedings{ST06, 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, timing, or electromagnetic emissions, has motivated the recent development of unified formul{\ae} for elliptic curve point operations. In this paper, we show how an attack introduced by Walter can be improved and used against the unified formul{\ae} of Brier, D\'ech\`ene and Joye when it relies on a standard field arithmetic implementation, both in affine and projective coordinates. We also describe how the field arithmetic might be implemented to obtain more uniform operations that avoid this type of attack. Keywords: elliptic-curve cryptography, side-channel attacks, unified point addition formul{\ae}, projective coordinates.}, Author = {Douglas Stebila and Nicolas Th{\'e}riault}, Crossref = {CHES2006}, Doi = {10.1007/11894063\_28}, Eprint = {\url{http://eprint.iacr.org/2005/419}}, Pages = {354--368}, Title = {Unified Point Addition Formul{\ae} and Side-Channel Attacks}}