Hofman, Sven, S. J. (2020) The Discrete Logarithm Problem on Anomalous Elliptic Curves. Bachelor's Thesis, Mathematics.
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Abstract
Smart’s algorithm solves the discrete logarithm problem on anomalous curves in polynomial time. This thesis will examine the algorithm developed by Smart in detail. Furthermore, it discusses why the same method, with only a slight adaptation, also works on any finite field extension of Fp. In addition to this, we explain the theory behind a small program we developed to search for anomalous curves with small coefficients over large finite fields.
Item Type: | Thesis (Bachelor's Thesis) |
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Supervisor name: | Djukanovic, M. and Kilicer, P. |
Degree programme: | Mathematics |
Thesis type: | Bachelor's Thesis |
Language: | English |
Date Deposited: | 20 Jul 2020 09:42 |
Last Modified: | 20 Jul 2020 09:42 |
URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/22792 |
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