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ACISP
2007
Springer
13 years 11 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
CARDIS
2000
Springer
124views Hardware» more  CARDIS 2000»
13 years 11 months ago
Elliptic Curve Cryptography on Smart Cards without Coprocessors
Abstract This contribution describes how an elliptic curve cryptosystem can be implemented on very low cost microprocessors with reasonable performance. We focus in this paper on t...
Adam D. Woodbury, Daniel V. Bailey, Christof Paar
AAECC
2003
Springer
165views Algorithms» more  AAECC 2003»
13 years 11 months ago
Fast Point Multiplication on Elliptic Curves through Isogenies
Elliptic curve cryptosystems are usually implemented over fields of characteristic two or over (large) prime fields. For large prime fields, projective coordinates are more suitabl...
Eric Brier, Marc Joye
PKC
1998
Springer
123views Cryptology» more  PKC 1998»
13 years 11 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 ...
EUROCRYPT
2003
Springer
14 years 17 days ago
Improved Algorithms for Efficient Arithmetic on Elliptic Curves Using Fast Endomorphisms
Mathieu Ciet, Tanja Lange, Francesco Sica, Jean-Ja...