Halving for the 2-Sylow subgroup of genus 2 curves over binary fields

DOI10.1016/j.ffa.2009.05.007zbMath1219.11096OpenAlexW2047553020MaRDI QIDQ623237

Josep M. Miret Biosca, Jordi Pujolàs, Anna Rio, Ramiro Moreno

Publication date: 14 February 2011

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2009.05.007

zbMATH Keywords

Jacobianbinary fieldsgenus 2 curves2-Sylow subgroup

Mathematics Subject Classification ID

Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15) Computational aspects of algebraic curves (14Q05)

Related Items (3)

Bäcklund transformations and divisor doubling ⋮ Symbolic Trisection Polynomials for Genus 2 Curves in Odd Characteristic ⋮ Bisection for genus 2 curves in odd characteristic

Uses Software

• Magma

Cites Work

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• Computing in the Jacobian of a Hyperelliptic Curve
• Linear algebra algorithms for divisors on an algebraic curve
• Determining the $2$-Sylow subgroup of an elliptic curve over a finite field
• Efficient Divisor Class Halving on Genus Two Curves
• Information Security and Privacy
• Selected Areas in Cryptography

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