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» Coverings of Curves of Genus 2
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ASIACRYPT
2003
Springer
15 years 1 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
PAIRING
2010
Springer
179views Cryptology» more  PAIRING 2010»
14 years 8 months ago
Deterministic Encoding and Hashing to Odd Hyperelliptic Curves
In this paper we propose a very simple and efficient encoding function from Fq to points of a hyperelliptic curve over Fq of the form H : y2 = f(x) where f is an odd polynomial. Hy...
Pierre-Alain Fouque, Mehdi Tibouchi
JNS
2007
63views more  JNS 2007»
14 years 9 months ago
Finite-Gap Solutions of the Vortex Filament Equation: Isoperiodic Deformations
We study the topology of quasiperiodic solutions of the vortex filament equation in a neighborhood of multiply covered circles. We construct these solutions by means of a sequence...
A. Calini, T. Ivey
CGF
2006
125views more  CGF 2006»
14 years 9 months ago
Translational Covering of Closed Planar Cubic B-Spline Curves
Spline curves are useful in a variety of geometric modeling and graphics applications and covering problems abound in practical settings. This work defines a class of covering dec...
Cristina Neacsu, Karen Daniels
MOC
2002
121views more  MOC 2002»
14 years 9 months ago
Computing discrete logarithms in high-genus hyperelliptic Jacobians in provably subexponential time
We provide a subexponential algorithm for solving the discrete logarithm problem in Jacobians of high-genus hyperelliptic curves over finite fields. Its expected running time for i...
Andreas Enge