Explicit addition formulae on hyperelliptic curves of genus 2 for isogeny-based cryptography

DOI10.14495/JSIAML.16.65zbMATH Open1547.94415MaRDI QIDQ6601511

Tsuyoshi Takagi, Hiroshi Onuki, Kaito Sato

Publication date: 10 September 2024

Published in: JSIAM Letters (Search for Journal in Brave)

zbMATH Keywords

hyperelliptic curvesexplicit formulaeisogeny-based cryptography

Mathematics Subject Classification ID

Cryptography (94A60) Elliptic curves (14H52) Computational aspects of algebraic curves (14Q05) Applications to coding theory and cryptography of arithmetic geometry (14G50) Algebraic theory of abelian varieties (14K05)

Cites Work

• Formulae for arithmetic on genus 2 hyperelliptic curves
• Mathematics of Public Key Cryptography
• Group Law Computations on Jacobians of Hyperelliptic Curves
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• Computing in the Jacobian of a Hyperelliptic Curve
• 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
• An efficient key recovery attack on SIDH
• \textsf{FESTA}: fast encryption from supersingular torsion attacks

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