Share and Export
Share and Export
Balagopalan, Sonia (2010) Elliptic Curves Over Finite Fields. Masters thesis, National University of Ireland Maynooth.
![[thumbnail of SB_MSc.pdf]](https://mural.maynoothuniversity.ie/style/images/fileicons/application_pdf.png "SB_MSc.pdf")
PDF
SB_MSc.pdf
Download (286kB)
Abstract
This thesis provides a self-contained introduction to elliptic curves accessible
to advanced undergraduates and graduate students in mathematics, with
emphasis on the the theory of elliptic curves over finite fields.
In Chapter 1, affine and projective planes are introduced. Chapter 2
introduces the theory of algebraic curves and the Weierstrass Normal Form
of a cubic curve is derived. In Chapter 3 we define derivations on arbitrary
polynomial rings, and prove the group law for elliptic curves. Chapter 4
discusses elliptic curves over finite fields and proves some results on counting
points.
| Item Type: | Thesis (Masters) |
|---|---|
| Keywords: | Elliptic Curves; Finite Fields; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 2250 |
| Depositing User: | IR eTheses |
| Date Deposited: | 17 Nov 2010 15:13 |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2250 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
Repository Staff Only (login required)
- Item control page
Downloads
Downloads per month over past year
