MIT Libraries logoDSpace@MIT

MIT
View Item 
  • DSpace@MIT Home
  • MIT Libraries
  • MIT Theses
  • Graduate Theses
  • View Item
  • DSpace@MIT Home
  • MIT Libraries
  • MIT Theses
  • Graduate Theses
  • View Item
JavaScript is disabled for your browser. Some features of this site may not work without it.

Data on elliptic curves with high rank

Author(s)
Khan, Siddique, 1980-
Thumbnail
DownloadFull printable version (993.0Kb)
Other Contributors
Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science.
Advisor
Catherine O'Neil.
Terms of use
M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582
Metadata
Show full item record
Abstract
In this thesis, a map that takes points from a given Elliptic Curve in Weierstrass form to points on the corresponding curve in Hasse form was derived. This was implemented in the Maple programming language in order to allow the transformation of points into Hasse form so that an embedding into the space K*/K*3 x K*/K*3could be easily computed. The derivation of the map involved several intermediate maps as well as optimization techniques to facilitate feasible computations. The map was further used to embed points of height less than 50 into K*/K*3 x K*/K*3 and test whether the images are trivial, which gives information on how this set sits inside the space.
Description
Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2004.
 
Includes bibliographical references (leaf 43).
 
Date issued
2004
URI
http://hdl.handle.net/1721.1/28413
Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Publisher
Massachusetts Institute of Technology
Keywords
Electrical Engineering and Computer Science.

Collections
  • Graduate Theses

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

Login

Statistics

OA StatisticsStatistics by CountryStatistics by Department
MIT Libraries
PrivacyPermissionsAccessibilityContact us
MIT
Content created by the MIT Libraries, CC BY-NC unless otherwise noted. Notify us about copyright concerns.