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» Isomorphism classes of hyperelliptic curves of genus 3 over ...
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ITCC
2005
IEEE
14 years 1 months ago
Inversion-Free Arithmetic on Genus 3 Hyperelliptic Curves and Its Implementations
Recently, a lot of effort has been done to investigate all kinds of explicit formulae for speeding up group operation of hyperelliptic curve cryptosystem (HECC). In this paper, ex...
Xinxin Fan, Thomas J. Wollinger, Yumin Wang
MOC
2000
80views more  MOC 2000»
13 years 7 months ago
On a unit group generated by special values of Siegel modular functions
Abstract. There has been important progress in constructing units and Sunits associated to curves of genus 2 or 3. These approaches are based mainly on the consideration of propert...
Takashi Fukuda, Keiichi Komatsu
MOC
2000
78views more  MOC 2000»
13 years 7 months ago
Tables of curves with many points
These tables record results on curves with many points over finite fields. For relatively small genus (0 g 50) and q a small power of 2 or 3 we give in two tables the best presen...
Gerard van der Geer, Marcel van der Vlugt
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
CHES
2008
Springer
151views Cryptology» more  CHES 2008»
13 years 9 months ago
Binary Edwards Curves
Abstract. This paper presents a new shape for ordinary elliptic curves over fields of characteristic 2. Using the new shape, this paper presents the first complete addition formula...
Daniel J. Bernstein, Tanja Lange, Reza Rezaeian Fa...