Fast Point Multiplication Formulae on Elliptic Curves of Weierstrass Form

Rongquan Feng; Zilong Wang; Hongfeng Wu

Paper 2008/485

Fast Point Multiplication Formulae on Elliptic Curves of Weierstrass Form

Rongquan Feng, Zilong Wang, and Hongfeng Wu

Abstract

\begin{abstract} In this paper, we presented fast point multiplication formulae for two different families elliptic curve of Weierstrass form $y^{2} = x^{3} + a x^{2} + b x$ and $y^{2} = x^{3} + a x^{2} + 2 a t x + a t^{2}$ . The costs of doubling and tripling formulae are $5 S + 2 M + 3 C$ and $6 S + 6 M + 4 C$ respectively, even and with the parameter of the curve suitably chosen. \end{abstract}

Metadata

Available format(s): -- withdrawn --
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: Elliptic curve point multiplication doubling tripling
Contact author(s): whfmath @ gmail com
History: 2008-11-19: withdrawn; 2008-11-19: received; See all versions
Short URL: https://ia.cr/2008/485
License: CC BY