On the discrete logarithm in the divisor class group of curves
Open Access
- 1 April 1999
- journal article
- Published by American Mathematical Society (AMS) in Mathematics of Computation
- Vol. 68 (226) , 805-807
- https://doi.org/10.1090/s0025-5718-99-01043-1
Abstract
Let be a curve which is defined over a finite field of characteristic . We show that one can evaluate the discrete logarithm in by operations in . This generalizes a result of Semaev for elliptic curves to curves of arbitrary genus.Keywords
This publication has 2 references indexed in Scilit:
- Evaluation of discrete logarithms in a group of 𝑝-torsion points of an elliptic curve in characteristic 𝑝Mathematics of Computation, 1998
- A Remark Concerning m-Divisibility and the Discrete Logarithm in the Divisor Class Group of CurvesMathematics of Computation, 1994