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: | https://fse.studenttheses.ub.rug.nl/id/eprint/10478 |
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