Trisection for genus 2 curves in odd characteristic

DOI10.1007/S00200-015-0282-3zbMath1402.11095OpenAlexW2299019492MaRDI QIDQ503551

Edgardo Riquelme

Publication date: 13 January 2017

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-015-0282-3

zbMATH Keywords

Jacobianfinite fieldhyperelliptic curvesgenus 2trisection

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Jacobians, Prym varieties (14H40) Curves over finite and local fields (11G20)

Related Items (2)

Trisection for non-supersingular genus 2 curves in characteristic 2 ⋮ Symbolic Trisection Polynomials for Genus 2 Curves in Odd Characteristic

Cites Work

• Genus 2 point counting over prime fields
• Bisection for genus 2 curves in odd characteristic
• Factorisation patterns of division polynomials
• Trisection for supersingular genus \(2\) curves in characteristic \(2\)
• Computing in the Jacobian of a Hyperelliptic Curve
• Modular equations for hyperelliptic curves
• Advances in Cryptology - EUROCRYPT 2004
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Trisection for non-supersingular genus 2 curves in characteristic 2

This page was built for publication: Trisection for genus 2 curves in odd characteristic