Faster Halvings in Genus 2

DOI10.1007/978-3-642-04159-4_1zbMath1256.94044OpenAlexW2104735376MaRDI QIDQ3644189

Peter Birkner, Nicolas Thériault

Publication date: 3 November 2009

Published in: Selected Areas in Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-04159-4_1

zbMATH Keywords

hyperelliptic curvegenus 2halvingbinary field

Mathematics Subject Classification ID

Cryptography (94A60) Curves over finite and local fields (11G20) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

Trisection for non-supersingular genus 2 curves in characteristic 2

Cites Work

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• Index calculus for abelian varieties of small dimension and the elliptic curve discrete logarithm problem
• Constructive and destructive facets of Weil descent on elliptic curves
• Formulae for arithmetic on genus 2 hyperelliptic curves
• An improved algorithm for computing logarithms over<tex>GF(p)</tex>and its cryptographic significance (Corresp.)
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Efficient Divisor Class Halving on Genus Two Curves
• Information Security and Privacy
• Selected Areas in Cryptography

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