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» Montgomery Scalar Multiplication for Genus 2 Curves
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ACISP
2007
Springer
15 years 5 months ago
Affine Precomputation with Sole Inversion in Elliptic Curve Cryptography
This paper presents a new approach to precompute all odd points [3]P, [5]P, . . . , [2k - 1]P, k 2 on an elliptic curve over Fp. Those points are required for the efficient evalua...
Erik Dahmen, Katsuyuki Okeya, Daniel Schepers
115
Voted
WAIFI
2007
Springer
141views Mathematics» more  WAIFI 2007»
15 years 8 months ago
New Point Addition Formulae for ECC Applications
Abstract. In this paper we propose a new approach to point scalar multiplication on elliptic curves defined over fields of characteristic greater than 3. It is based on new point...
Nicolas Meloni
ITCC
2005
IEEE
15 years 7 months ago
A Scalable and High Performance Elliptic Curve Processor with Resistance to Timing Attacks
This paper presents a high performance and scalable elliptic curve processor which is designed to be resistant against timing attacks. The point multiplication algorithm (double-a...
Alireza Hodjat, David Hwang, Ingrid Verbauwhede
128
Voted
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
15 years 5 months ago
Two Efficient Algorithms for Arithmetic of Elliptic Curves Using Frobenius Map
In this paper, we present two efficient algorithms computing scalar multiplications of a point in an elliptic curve defined over a small finite field, the Frobenius map of which ha...
Jung Hee Cheon, Sung-Mo Park, Sangwoo Park, Daeho ...
202
Voted
TAMC
2010
Springer
15 years 6 months ago
Twisted Jacobi Intersections Curves
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 t...
Rongquan Feng, Menglong Nie, Hongfeng Wu