20 search results - page 1 / 4 » Efficient Arithmetic on Hessian Curves |
139
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PKC
2010
Springer
15 years 7 months ago
2010
Springer
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 ...
160
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PKC
1998
Springer
15 years 8 months ago
1998
Springer
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...
170
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DCC
2000
IEEE
15 years 4 months ago
2000
IEEE
It has become increasingly common to implement discrete-logarithm based public-key protocols on elliptic curves over finite fields. The basic operation is scalar multiplication: ta...
128
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EUROCRYPT
2003
Springer
15 years 10 months ago
2003
Springer
128
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FOCM
2002
15 years 4 months ago
2002
We consider the Riemannian geometry defined on a convex set by the Hessian of a selfconcordant barrier function, and its associated geodesic curves. These provide guidance for the...