Klijn, Vivianne (2025) Isogeny-based commitment schemes. Master's Thesis / Essay, Mathematics.
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Abstract
The field of post-quantum cryptography studies alternatives to currently existing cryptographic methods, as current methods are unsafe if a suitably powerful quantum computer is constructed. One such alternative is based on isogenies between elliptic curves, in a field known as isogeny-based cryptography. While there are many isogeny-based protocols, until 2021 there was no isogeny-based commitment scheme. Moreover, in 2024 a modification to the isogeny-based commitment scheme was proposed that removes the need for a trusted third party during the setup phase. We discuss both of these protocols and study the theory behind them, which allows us to slightly generalise the proposed modification.
| Item Type: | Thesis (Master's Thesis / Essay) |
|---|---|
| Supervisor name: | Top, J. and Muller, J.S. |
| Degree programme: | Mathematics |
| Thesis type: | Master's Thesis / Essay |
| Language: | English |
| Date Deposited: | 19 Dec 2025 13:34 |
| Last Modified: | 19 Dec 2025 13:34 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/37182 |
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