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» Group Law Computations on Jacobians of Hyperelliptic Curves
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IACR
2011
124views more  IACR 2011»
10 years 6 months ago
Group Law Computations on Jacobians of Hyperelliptic Curves
We derive an explicit method of computing the composition step in Cantor’s algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the g...
Craig Costello, Kristin Lauter
MICS
2010
112views more  MICS 2010»
11 years 5 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
EUROCRYPT
1999
Springer
11 years 11 months ago
On the Performance of Hyperelliptic Cryptosystems
In this paper we discuss various aspects of cryptosystems based on hyperelliptic curves. In particular we cover the implementation of the group law on such curves and how to genera...
Nigel P. Smart
ITNG
2007
IEEE
12 years 1 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
IEICET
2008
126views more  IEICET 2008»
11 years 6 months ago
Skew-Frobenius Maps on Hyperelliptic Curves
The hyperelliptic curve cryptosystems take most of the time for computing a scalar multiplication kD of an element D in the Jacobian JC of a hyperelliptic curve C for an integer k....
Shunji Kozaki, Kazuto Matsuo, Yasutomo Shimbara
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