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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2024 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On the discrete logarithm in the divisor class group of curves
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by Hans-Georg Rück PDF
Math. Comp. 68 (1999), 805-806 Request permission

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
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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
  • Received by editor(s): August 8, 1997
  • © Copyright 1999 American Mathematical Society
  • Journal: Math. Comp. 68 (1999), 805-806
  • MSC (1991): Primary 11T71; Secondary 94A60
  • DOI: https://doi.org/10.1090/S0025-5718-99-01043-1
  • MathSciNet review: 1622281