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EUROCRYPT
2000
Springer
11 years 12 months ago
An Algorithm for Solving the Discrete Log Problem on Hyperelliptic Curves
We present an index-calculus algorithm for the computation of discrete logarithms in the Jacobian of hyperelliptic curves defined over finite fields. The complexity predicts that i...
Pierrick Gaudry
MOC
2002
121views more  MOC 2002»
11 years 8 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
ASIACRYPT
2003
Springer
12 years 1 months ago
Index Calculus Attack for Hyperelliptic Curves of Small Genus
We present a variation of the index calculus attack by Gaudry which can be used to solve the discrete logarithm problem in the Jacobian of hyperelliptic curves. The new algorithm h...
Nicolas Thériault
MOC
2002
84views more  MOC 2002»
11 years 8 months ago
Smooth ideals in hyperelliptic function fields
Recently, several algorithms have been suggested for solving the discrete logarithm problem in the Jacobians of high-genus hyperelliptic curves over finite fields. Some of them hav...
Andreas Enge, Andreas Stein
ASIACRYPT
2000
Springer
12 years 20 days ago
Construction of Hyperelliptic Curves with CM and Its Application to Cryptosystems
Abstract. Construction of secure hyperelliptic curves is of most important yet most diļ¬ƒcult problem in design of cryptosystems based on the discrete logarithm problems on hyperel...
Jinhui Chao, Kazuto Matsuo, Hiroto Kawashiro, Shig...
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