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PKC
2010
Springer
210views Cryptology» more  PKC 2010»
13 years 9 months ago
Efficient Arithmetic on Hessian Curves
This paper considers a generalized form for Hessian curves. The family of generalized Hessian curves covers more isomorphism classes of elliptic curves. Over a finite filed Fq, it ...
Reza Rezaeian Farashahi, 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 ...
CIS
2006
Springer
13 years 11 months ago
Efficient Implementation of Tate Pairing on a Mobile Phone Using Java
Pairing-based cryptosystems (PBC) have been attracted by researchers in cryptography. Some implementations show that PBC are relatively slower than the standard public key cryptosy...
Yuto Kawahara, Tsuyoshi Takagi, Eiji Okamoto
ASAP
2010
IEEE
315views Hardware» more  ASAP 2010»
13 years 5 months ago
A compact FPGA-based architecture for elliptic curve cryptography over prime fields
Abstract--This paper proposes an FPGA-based applicationspecific elliptic curve processor over a prime field. This research targets applications for which compactness is more import...
Jo Vliegen, Nele Mentens, Jan Genoe, An Braeken, S...
CORR
2006
Springer
114views Education» more  CORR 2006»
13 years 7 months ago
Fast algorithms for computing isogenies between elliptic curves
We survey algorithms for computing isogenies between elliptic curves defined over a field of characteristic either 0 or a large prime. We introduce a new algorithm that computes an...
Alin Bostan, Bruno Salvy, François Morain, ...