54 search results - page 1 / 11 » An Algorithm for Solving the Discrete Log Problem on Hyperel... |
EUROCRYPT
2000
Springer
13 years 8 months ago
2000
Springer
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...
MOC
2002
13 years 4 months ago
2002
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...
ASIACRYPT
2003
Springer
13 years 9 months ago
2003
Springer
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...
MOC
2002
13 years 4 months ago
2002
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...
ASIACRYPT
2000
Springer
13 years 8 months ago
2000
Springer
Abstract. Construction of secure hyperelliptic curves is of most important yet most difficult problem in design of cryptosystems based on the discrete logarithm problems on hyperel...