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Data on elliptic curves with high rank

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dc.contributor.advisor Catherine O'Neil. en_US
dc.contributor.author Khan, Siddique, 1980- en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science. en_US
dc.date.accessioned 2005-09-26T20:18:41Z
dc.date.available 2005-09-26T20:18:41Z
dc.date.copyright 2004 en_US
dc.date.issued 2004 en_US
dc.identifier.uri http://hdl.handle.net/1721.1/28413
dc.description Thesis (M. Eng.)--Massachusetts Institute of Technology, Dept. of Electrical Engineering and Computer Science, 2004. en_US
dc.description Includes bibliographical references (leaf 43). en_US
dc.description.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. en_US
dc.description.statementofresponsibility by Siddique Khan. en_US
dc.format.extent 43 leaves en_US
dc.format.extent 1014152 bytes
dc.format.extent 1016928 bytes
dc.format.mimetype application/pdf
dc.format.mimetype application/pdf
dc.language.iso en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights 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. en_US
dc.rights.uri http://dspace.mit.edu/handle/1721.1/7582
dc.subject Electrical Engineering and Computer Science. en_US
dc.title Data on elliptic curves with high rank en_US
dc.type Thesis en_US
dc.description.degree M.Eng. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Electrical Engineering and Computer Science. en_US
dc.identifier.oclc 56986160 en_US


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