Correspondences on Hyperelliptic Curves and Applications to the Discrete Logarithm

DOI10.1007/978-3-642-25261-7_1zbMath1345.14036OpenAlexW26827147MaRDI QIDQ2902925

Ernst Kani, Gerhard Frey

Publication date: 22 August 2012

Published in: Security and Intelligent Information Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-25261-7_1

zbMATH Keywords

hyperelliptic curvesdiscrete logarithmscurves of genus 3

Mathematics Subject Classification ID

Special algebraic curves and curves of low genus (14H45) Coverings of curves, fundamental group (14H30) Applications to coding theory and cryptography of arithmetic geometry (14G50) Channel models (including quantum) in information and communication theory (94A40)

Related Items (3)

Normal forms of hyperelliptic curves of genus 3 ⋮ Translating the discrete logarithm problem on Jacobians of genus 3 hyperelliptic curves with \((\ell ,\ell ,\ell)\)-isogenies ⋮ Curves, Jacobians, and cryptography

Cites Work

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• Elliptic Curve Cryptosystems
• The arithmetic-geometric mean and isogenies for curves of higher genus
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Isogenies and the Discrete Logarithm Problem in Jacobians of Genus 3 Hyperelliptic Curves
• Endliche Gruppen I
• Algorithmic Number Theory

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