A REMARK CONCERNING m-DIVISIBILITY AND THE DISCRETE LOGARITHM IN THE DIVISOR CLASS GROUP OF CURVES

@inproceedings{Frey2010ARC,
  title={A REMARK CONCERNING m-DIVISIBILITY AND THE DISCRETE LOGARITHM IN THE DIVISOR CLASS GROUP OF CURVES},
  author={Gerhard Frey},
  year={2010}
}
The aim of this paper is to show that the computation of the discrete logarithm in the m-torsion part of the divisor class group of a curve X over a finite field ko (with char(/co) prime to m), or over a local field k with residue field /co , can be reduced to the computation of the discrete logarithm in /co(Cm)* • For this purpose we use a variant of the (tame) Täte pairing for Abelian varieties over local fields. In the same way the problem to determine all linear combinations of a finite set… CONTINUE READING
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