Abstract.
We propose a reduced equation for hyperelliptic curves of genus 2 over finite fields ? q of q elements with characteristic different from 2 and 5. We determine the number of isomorphism classes of genus-2 hyperelliptic curves having an ? q -rational Weierstrass point. These results have applications to hyperelliptic curve cryptography.
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Received: May 2, 2001
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Encinas, L., Menezes, A. & Masqué, J. Isomorphism Classes of Genus-2 Hyperelliptic Curves Over Finite Fields. AAECC 13, 57–65 (2002). https://doi.org/10.1007/s002000100092
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DOI: https://doi.org/10.1007/s002000100092