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Fast Point Multiplication Formulae on Elliptic Curves of Weierstrass Form
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Abstract: | \begin{abstract} In this paper, we presented fast point multiplication formulae for two different families elliptic curve of Weierstrass form $y^2=x^3+ax^2+bx$ and $y^2=x^3+ax^2+2atx+at^2$. The costs of doubling and tripling formulae are $5S+2M+3C$ and $6S+6M+4C$ respectively, even $5S+2M$ and $6S+6M$ with the parameter of the curve suitably chosen. \end{abstract} |
BibTeX
@misc{eprint-2008-18063, title={Fast Point Multiplication Formulae on Elliptic Curves of Weierstrass Form}, booktitle={IACR Eprint archive}, keywords={public-key cryptography / Elliptic curve, point multiplication, doubling, tripling}, url={http://eprint.iacr.org/2008/485}, note={ whfmath@gmail.com 14202 received 17 Nov 2008, withdrawn 19 Nov 2008}, author={Rongquan Feng and Zilong Wang and Hongfeng Wu}, year=2008 }