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» On the Performance of Hyperelliptic Cryptosystems
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EUROCRYPT
1999
Springer
13 years 9 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
CHES
2003
Springer
106views Cryptology» more  CHES 2003»
13 years 10 months ago
Hyperelliptic Curve Cryptosystems: Closing the Performance Gap to Elliptic Curves
For most of the time since they were proposed, it was widely believed that hyperelliptic curve cryptosystems (HECC) carry a substantial performance penalty compared to elliptic cur...
Jan Pelzl, Thomas J. Wollinger, Jorge Guajardo, Ch...
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
IEICET
2008
126views more  IEICET 2008»
13 years 4 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
AAECC
2005
Springer
99views Algorithms» more  AAECC 2005»
13 years 4 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