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Edwards Elliptic Curves

Dam, M.R. (2012) Edwards Elliptic Curves. Bachelor's Thesis, Mathematics.

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Abstract

Due to its complete addition law, the Edwards form for elliptic curves is in some applications a more convenient form than the well-known Weierstrass form. In this thesis, the difference between both forms is described and special properties of the Edwards curves are treated. A rational map between both forms is constructed in order to show Edwards curves are birationally equivalent to Weierstrass curves if and only if the Weierstrass curve has a point of order 4. Using this map, it can be shown that an Edwards curve is supersingular if and only if the corresponding Legendre form is supersingular.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 07:50
Last Modified: 15 Feb 2018 07:50
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/10478

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