Computing in the Jacobian of a hyperelliptic curve-Reference-Cited by-同舟云学术

Computing in the Jacobian of a hyperelliptic curve

Published:1987 Issue:177 Volume:48 Page:95-101
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Cantor David G.

Abstract

In this paper we present algorithms, suitable for computer use, for computation in the Jacobian of a hyperelliptic curve. We present a reduction algorithm which is asymptotically faster than that of Gauss when the genus g is very large.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1987-48-177/S0025-5718-1987-0866101-0/S0025-5718-1987-0866101-0.pdf

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