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Fazekas, Stefanie (2023) Public Key Cryptography over the Gaussian and Eisenstein Integers. Masters thesis, National University of Ireland Maynooth.
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Abstract
Public key encryption has been studied in great detail mainly in the context of the
ring of integers. In this thesis, we develop analogues of popular encryption schemes in
the settings of Gaussian and Eisenstein integers. We will specifically study analogues
of the following asymmetric public key encryption schemes: RSA algorithm, Diffie-
Hellman Key Exchange and El Gamal.
| Item Type: | Thesis (Masters) |
|---|---|
| Keywords: | Public Key Cryptography; Gaussian; Eisenstein; Integers; |
| Academic Unit: | Faculty of Science and Engineering > Mathematics and Statistics |
| Item ID: | 18135 |
| Depositing User: | IR eTheses |
| Date Deposited: | 13 Feb 2024 11:48 |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/18135 |
| 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 |
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