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        Fq-primitive points on elliptic curves over finite prime fields

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        Bachelor scriptie - Maurits Beelen .pdf (730.4Kb)
        Publication date
        2025
        Author
        Beelen, Maurits
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        Summary
        This article is about a new kind of point on elliptic curves over finite fields, double generators. These points are Fp -primitive points on an elliptic curve E over Fp which are also a generators of the group of Fp-rational points, E(Fp). The article discusses results and tests conjectures of Cohen et. al (2022, “The existence of Fq-primitive points on curves using freeness”) and obtains results about what double generators are and how often and under what conditions these points exist.
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        https://studenttheses.uu.nl/handle/20.500.12932/50339
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