Abstract
We present a simple and direct method of counting the number of the isomorphism classes of hyperelliptic curves of genus 2 over finite fields with characteristic different from 5. In this case it turns out that the number of isomorphism classes of genus-2 hyperelliptic curve over a given field Fq is on the order of q3. These results have applications to hyperelliptic curve cryptography.
Cite
CITATION STYLE
Choie, Y., & Yun, D. (2002). Isomorphism classes of hyperelliptic curves of genus 2 over Fq. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 2384, pp. 190–202). Springer Verlag. https://doi.org/10.1007/3-540-45450-0_16
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