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WAIFI
2007
Springer
121views Mathematics» more  WAIFI 2007»
13 years 11 months ago
Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation
Stefan Erickson, Michael J. Jacobson Jr., Ning Sha...
ITNG
2007
IEEE
13 years 11 months ago
Fast explicit formulae for genus 2 hyperelliptic curves using projective coordinates
This contribution proposes a modification of method of divisors group operation in the Jacobian of hyperelliptic curve over even and odd characteristic fields in projective coordi...
Thomas Wollinger, Vladyslav Kovtun
AAECC
2005
Springer
99views Algorithms» more  AAECC 2005»
13 years 5 months ago
Formulae for Arithmetic on Genus 2 Hyperelliptic Curves
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete logarithm problem. In this article we present explicit formulae to perform the gro...
Tanja Lange
MICS
2010
112views more  MICS 2010»
13 years 3 months ago
Traces of the Group Law on the Kummer Surface of a Curve of Genus 2 in Characteristic 2
In the early 1990s, Flynn gave an explicit description of the Jacobian of a genus 2 hyperelliptic curve to perform efficient arithmetic on these objects. In this paper, we give a ...
Sylvain Duquesne
ASIACRYPT
2003
Springer
13 years 9 months ago
Parallelizing Explicit Formula for Arithmetic in the Jacobian of Hyperelliptic Curves
One of the recent thrust areas in research on hyperelliptic curve cryptography has been to obtain explicit formulae for performing arithmetic in the Jacobian of such curves. We con...
Pradeep Kumar Mishra, Palash Sarkar