6 search results - page 1 / 2 » Computing discrete logarithms in high-genus hyperelliptic Ja... |
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...
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...
JOC
2011
12 years 11 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...
DCC
2001
IEEE
14 years 4 months ago
2001
IEEE
We describe several cryptographic schemes in quadratic function fields of odd characteristic. In both the real and the imaginary representation of such a field, we present a Diffi...
ASIACRYPT
2000
Springer
13 years 9 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...