Montgomery Ladder for All Genus 2 Curves in Characteristic 2

DOI10.1007/978-3-540-69499-1_15zbMath1247.14027OpenAlexW1575754658MaRDI QIDQ3519561

Sylvain Duquesne

Publication date: 19 August 2008

Published in: Arithmetic of Finite Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-540-69499-1_15

zbMATH Keywords

cryptographyhyperelliptic curvesKummer surfacecharacteristic 2scalar multiplication

Mathematics Subject Classification ID

Cryptography (94A60) Special algebraic curves and curves of low genus (14H45) Finite ground fields in algebraic geometry (14G15) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (1)

Traces of the group law on the Kummer surface of a curve of genus 2 in characteristic 2

Cites Work

• Traces of the group law on the Kummer surface of a curve of genus 2 in characteristic 2
• The arithmetic of characteristic 2 Kummer surfaces and of elliptic Kummer lines
• A fast Diffie-Hellman protocol in genus 2
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• Formulae for arithmetic on genus 2 hyperelliptic curves
• Timing Attacks on Implementations of Diffie-Hellman, RSA, DSS, and Other Systems
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• Computing in the Jacobian of a Hyperelliptic Curve
• Elliptic Curve Cryptosystems
• The group law on the jacobian of a curve of genus 2.
• On Montgomery-Like Representations for Elliptic Curves over GF(2k)
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Fast genus 2 arithmetic based on Theta functions
• SCA Resistant Parallel Explicit Formula for Addition and Doubling of Divisors in the Jacobian of Hyperelliptic Curves of Genus 2
• Algorithmic Number Theory
• Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura
• Algebraic aspects of cryptography. With an appendix on hyperelliptic curves by Alfred J. Menezes, Yi-Hong Wu, and Robert J. Zuccherato
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