Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: interplay of field arithmetic and explicit formulæ

Rethinking low genus hyperelliptic Jacobian arithmetic over binary fields: interplay of field arithmetic and explicit formulæ

In this paper, we present several improvements on the best known explicit formulæ for hyperelliptic curves of genus three and four in characteristic two, including the issue of reducing memory requirements.

Detalhes bibliográficos
Main Authors: Avanzi R., Thériault N., Wang Z.
Formato: Artigo
Idioma:English
Publicado em: De Gruyter 2008-10-01
Colecção:Journal of Mathematical Cryptology
Assuntos:
elliptic and hyperelliptic curves
cryptography
efficient implementation
explicit formulæ
Acesso em linha:https://doi.org/10.1515/JMC.2008.011

Internet

https://doi.org/10.1515/JMC.2008.011

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