Counting hyperelliptic curves that admit a Koblitz model

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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Bibliographic Details
Main Authors: Demirkiran Cevahir, Nart Enric
Format: Article
Language:English
Published: De Gruyter 2008-07-01
Series:Journal of Mathematical Cryptology
Subjects:
finite field
hyperelliptic curve
hyperelliptic cryptosystem
koblitz model
weierstrass point
rational n-set
Online Access:https://doi.org/10.1515/JMC.2008.008

Internet

https://doi.org/10.1515/JMC.2008.008

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