Radical Isogenies on Montgomery Curves

DOI10.1007/978-3-030-97121-2_17zbMath1492.94155OpenAlexW4214685745MaRDI QIDQ5087267

Tomoki Moriya, Hiroshi Onuki

Publication date: 8 July 2022

Published in: Public-Key Cryptography – PKC 2022 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-97121-2_17

zbMATH Keywords

post-quantum cryptographyCSIDHMontgomery curvesradical isogenies

Mathematics Subject Classification ID

Cryptography (94A60) Quantum cryptography (quantum-theoretic aspects) (81P94)

Related Items (1)

Horizontal racewalking using radical isogenies

Uses Software

• Magma
• SeaSign
• CSI-FiSh

Cites Work

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• Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves
• Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
• Cryptographic hash functions from expander graphs
• The Magma algebra system. I: The user language
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• CSIDH: an efficient post-quantum commutative group action
• Isogenies on twisted Hessian curves
• SimS: a simplification of SiGamal
• Optimized method for computing odd-degree isogenies on Edwards curves
• CSI-FiSh: efficient isogeny based signatures through class group computations
• Stronger and faster side-channel protections for CSIDH
• SeaSign: compact isogeny signatures from class group actions
• Radical isogenies
• SiGamal: a supersingular isogeny-based PKE and its application to a PRF
• Towards Quantum-Resistant Cryptosystems from Supersingular Elliptic Curve Isogenies
• The Arithmetic of Elliptic Curves
• Speeding the Pollard and Elliptic Curve Methods of Factorization
• CSIDH on the Surface

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