Bisection for genus 2 curves in odd characteristic

DOI10.3792/pjaa.85.55zbMath1213.11130OpenAlexW1993823748MaRDI QIDQ1030582

Jordi Pujolàs, Anna Rio, Josep M. Miret Biosca

Publication date: 2 July 2009

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.85.55

zbMATH Keywords

Jacobianfinite fieldgenus 2 curves

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (6)

A \(p\)-adic study of the Richelot isogeny with applications to periods of certain genus 2 curves ⋮ Trisection for genus 2 curves in odd characteristic ⋮ Trisection for non-supersingular genus 2 curves in characteristic 2 ⋮ Symbolic Trisection Polynomials for Genus 2 Curves in Odd Characteristic ⋮ Bisection and squares in genus 2 ⋮ The 2-adic valuation of the cardinality of Jacobians of genus 2 curves over quadratic towers of finite fields

Uses Software

• Magma

Cites Work

• Unnamed Item
• Halving for the 2-Sylow subgroup of genus 2 curves over binary fields
• The Magma algebra system. I: The user language
• Factorisation patterns of division polynomials
• Computing in the Jacobian of a Hyperelliptic Curve
• Advances in Cryptology - EUROCRYPT 2004
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Information Security and Privacy

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