Sciweavers

Free Online Productivity Tools i2Speak i2Symbol i2OCR iTex2Img iWeb2Print iWeb2Shot i2Type iPdf2Split iPdf2Merge i2Bopomofo i2Arabic i2Style i2Image i2PDF iLatex2Rtf Sci2ools

34

TAMC
2010
Springer

favoriteEmaildiscussreport

351views Applied Computing» more TAMC 2010»

Twisted Jacobi Intersections Curves

13 years 9 months ago

Twisted Jacobi Intersections Curves

Download eprint.iacr.org

In this paper, the twisted Jacobi intersections which contains Jacobi intersections as a special case is introduced. We show that every elliptic curve over the prime ﬁeld with three points of order 2 is isomorphic to a twisted Jacobi intersections curve. Some fast explicit formulae for twisted Jacobi intersections curves in projective coordinates are presented. These explicit formulae for addition and doubling are almost as fast as the Jacobi intersections. In addition, the scalar multiplication can be more eﬀective in twisted Jacobi intersections than in Jacobi intersections. Moreover, we propose new addition formulae which are independent of parameters of curves and more eﬀective in reality than the previous formulae in the literature.

Rongquan Feng, Menglong Nie, Hongfeng Wu

Real-time Traffic

Explicit Formulae | Jacobi Intersections | TAMC 2010 | Twisted Jacobi Intersections |

claim paper

Related Content

» Computing Dehn Twists and Geometric Intersection Numbers in Polynomial Time

» Jacobi Curves Computing the Exact Topology of Arrangements of Nonsingular Algebraic Curves

» The Jacobi Model of an Elliptic Curve and SideChannel Analysis

» Preventing SPADPA in ECC Systems Using the Jacobi Form

» An exact and efficient approach for computing a cell in an arrangement of quadrics

» Parttype Segmentation of Articulated VoxelShapes using the Junction Rule

» Optimizing DoubleBase EllipticCurve SingleScalar Multiplication

Post Info
More Details (n/a)

Added	11 Jul 2010
Updated	11 Jul 2010
Type	Conference
Year	2010
Where	TAMC
Authors	Rongquan Feng, Menglong Nie, Hongfeng Wu

Comments (0)