Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

On the discrete logarithm
in the divisor class group of curves


Author: Hans-Georg Rück
Journal: Math. Comp. 68 (1999), 805-806
MSC (1991): Primary 11T71; Secondary 94A60
MathSciNet review: 1622281
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Let $X$ be a curve which is defined over a finite field $k$ of characteristic $p$. We show that one can evaluate the discrete logarithm in $Pic_0(X)_{p^n}$ by $O(n^2 \log p)$ operations in $k$. This generalizes a result of Semaev for elliptic curves to curves of arbitrary genus.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation of the American Mathematical Society with MSC (1991): 11T71, 94A60

Retrieve articles in all journals with MSC (1991): 11T71, 94A60


Additional Information

Hans-Georg Rück
Affiliation: Institut für Experimentelle Mathematik, Universität GH Essen, Ellernstr. 29, D-45326 Essen, Germany
Email: rueck@exp-math.uni-essen.de

DOI: http://dx.doi.org/10.1090/S0025-5718-99-01043-1
PII: S 0025-5718(99)01043-1
Received by editor(s): August 8, 1997
Article copyright: © Copyright 1999 American Mathematical Society