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Counting hyperelliptic curves that admit a Koblitz model

Let be a finite field of odd characteristic. We find a closed formula for the number of k-isomorphism classes of pointed, and non-pointed, hyperelliptic curves of genus g over k, admitting a Koblitz model. These numbers are expressed as a polynomial in q with integer coefficients (for pointed curve...

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Bibliografische Detailangaben
Hauptverfasser: Demirkiran Cevahir, Nart Enric
Format: Artigo
Sprache:Inglês
Veröffentlicht: De Gruyter 2008-07-01
Schriftenreihe:Journal of Mathematical Cryptology
Schlagworte:
Online-Zugang:https://doi.org/10.1515/JMC.2008.008
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