Cryptology ePrint Archive: Report 2009/573
New Addition Operation and Its Application for Scalar Multiplication on Hessian Curves over Prime Fields
Leibo Li and Mingqiang Wang and Zhanjiang Xia
Abstract: In this paper, we present a new addition operation on Hessian curves with low cost.
It can be applied to resist the side channel attacks for scalar multiplication,
and also can be used to compute precomputation points for window-based
scalar multiplication on Hessian curves over prime fields.
We propose two new precomputation schemes
that are shown to achieve the lowest cost among all known methods.
By using the fractional $w$NAF and fractional $wmb$NAF,
if $n=192$ bits and $1I\approx30M$, scheme 1 can save up to $31M$,
scheme 2 can save up to $28M$ with $w\geq 6$, where $I$, $M$ represent
the inversion and the multiplication, respectively.
Category / Keywords: implementation /
Date: received 26 Nov 2009, last revised 9 Dec 2009
Contact author: llbsdu at 163 com
Available formats: PDF | BibTeX Citation
Version: 20091209:083923 (All versions of this report)
Discussion forum: Show discussion | Start new discussion
[ Cryptology ePrint archive ]