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JOC
2011
13 years 2 months ago
2011
We present an algorithm for solving the discrete logarithm problem in Jacobians of families of plane curves whose degrees in X and Y are low with respect to their genera. The fin...
EUROCRYPT
1999
Springer
14 years 3 days ago
1999
Springer
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...
CAD
2007
Springer
13 years 7 months ago
2007
Springer
Systematically generalizing planar geometric algorithms to manifold domains is of fundamental importance in computer aided design field. This paper proposes a novel theoretic fra...
JNS
2007
13 years 7 months ago
2007
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...