Welcome to the resource topic for 2010/390
Title:
Elliptic curves in Huff’s model
Authors: Hongfeng Wu, Rongquan Feng
Abstract:This paper introduce generalizes the Huff curves x(ay^2-1)=y(bx^2-1) which contains Huff’s model ax(y^2-1)=by(x^2-1) as a special case. It is shown that every elliptic curve over the finite field with three points of order 2 is isomorphic to a general Huff curve. Some fast explicit formulae for general Huff curves in projective coordinates are presented. These explicit formulae for addition and doubling are almost as fast in the general case as they are for the Huff curves in \cite{Joye}. Finally, the number of isomorphism classes of general Huff curves defined over the finite field \mathbb{F}_q is enumerated.
ePrint: https://eprint.iacr.org/2010/390
See all topics related to this paper.
Feel free to post resources that are related to this paper below.
Example resources include: implementations, explanation materials, talks, slides, links to previous discussions on other websites.
For more information, see the rules for Resource Topics .