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» Self-overlapping Curves Revisited
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ANTS
2010
Springer
248views Algorithms» more  ANTS 2010»
13 years 7 months ago
Huff's Model for Elliptic Curves
Abstract. This paper revisits a model for elliptic curves over Q introduced by Huff in 1948 to study a diophantine problem. Huff's model readily extends over fields of odd cha...
Marc Joye, Mehdi Tibouchi, Damien Vergnaud
EUROCRYPT
2003
Springer
13 years 8 months ago
The GHS Attack Revisited
Abstract. We generalize the Weil descent construction of the GHS attack to arbitrary Artin-Schreier extensions. We give a formula for the characteristic polynomial of Frobenius of ...
Florian Hess
ASIACRYPT
2008
Springer
13 years 5 months ago
Twisted Edwards Curves Revisited
This paper introduces fast algorithms for performing group operations on twisted Edwards curves, pushing the recent speed limits of Elliptic Curve Cryptography (ECC) forward in a ...
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...
COMGEO
2002
ACM
13 years 3 months ago
Combinatorial curve reconstruction in Hilbert spaces: A new sampling theory and an old result revisited
The goals of this paper are twofold. The first is to present a new sampling theory for curves, based on a new notion of local feature size. The properties of this new feature size...
Daniel Freedman
ACISP
2009
Springer
13 years 10 months ago
Jacobi Quartic Curves Revisited
This paper provides new results about efficient arithmetic on (extended) Jacobi quartic form elliptic curves y2 = dx4 + 2ax2
Hüseyin Hisil, Kenneth Koon-Ho Wong, Gary Car...