MURAL - Maynooth University Research Archive Library



    Public Key Cryptography over the Gaussian and Eisenstein Integers


    Fazekas, Stefanie (2023) Public Key Cryptography over the Gaussian and Eisenstein Integers. Masters thesis, National University of Ireland Maynooth.

    [img]
    Preview
    Download (924kB) | Preview


    Share your research

    Twitter Facebook LinkedIn GooglePlus Email more...



    Add this article to your Mendeley library


    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:
      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)

      View Item Item control page

      Downloads

      Downloads per month over past year

      Origin of downloads