561 search results - page 2 / 113 » Using number fields to compute logarithms in finite fields |
CORR
2004
Springer
13 years 5 months ago
2004
Springer
We want to achieve efficiency for the exact computation of the dot product of two vectors over word size finite fields. We therefore compare the practical behaviors of a wide range...
MOC
1998
13 years 4 months ago
1998
In this paper we propose an algorithm for evaluation of logarithms in the finite fields Fpn , where the number pn − 1 has a small primitive factor r. The heuristic estimate of ...
EUROCRYPT
2006
Springer
13 years 9 months ago
2006
Springer
In this paper, we study the application of the function field sieve algorithm for computing discrete logarithms over finite fields of the form Fqn when q is a medium-sized prime po...
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...
DCC
2002
IEEE
14 years 4 months ago
2002
IEEE
Recently, Coppersmith and Shparlinski proved several results on the interpolation of the discrete logarithm in the finite prime field Fp by polynomials modulo p and modulo p -1, re...